# Joint Optimization of a Dry Port with Multilevel Location and Container Transportation: The Case of Northeast China

Authors: Feng Pian; Qiuju Shi; Xue Yao; Huiling Zhu; Weixin Luan
Journal: Complexity
 (2021)

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## Abstract

Dry port construction can reduce the cost of container transportation, and its location is the focus of existing research. Considering dry port capacity limitations and scale advantages, this study calculates the costs associated with dry port construction and operations, transportation, time, and the environment and constructs a joint optimization model of the dry port location and transportation scheme to minimize the total cost. Taking 35 prefecture-level cities in Northeast China as the source of container goods and Dalian port as the destination, this study conducts an empirical analysis using the Gurobi 9.0.2 optimizer of the AMPL software to solve the problem and takes the minimum total cost as the goal to select the best dry port and container transshipment scheme. The research draws the following conclusions. Seven dry ports also need to be built in the road-rail (RD-RL) mode, which shares 82.76% of the container transshipment volume, to reduce the total transportation cost by approximately 21.67%. Although multimodal transport through dry ports increases the time cost slightly, it can significantly reduce the economic and environmental costs of container transportation.


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## Body

## 1. Introduction

In the process of economic and social development, the deployment and optimization of Cyber-Physical Systems play an increasingly important role. Power system, pipeline network, and transportation network are important components of Cyber-Physical Systems. Some achievements of energy system and pipeline network [1–3] provide a new idea for the study of connectivity reliability of urban transportation network. The joint optimization model proposed in this study solves the optimization problem of transportation network, which can be used as reference for other physical network optimization such as power system or pipe network. Similar to other networks, inland container transportation network has the structural characteristics of a complex network. However, the spatial entity of transportation network makes it different from an abstract network such as the social network, which is especially apparent in inland container transportation network. Due to the uncertainty of construction conditions, grade of dry port, freight demand, and transshipment scheme, the joint optimization of dry port selection and container transshipment presents additional complexity.Dry ports can optimize the inland transportation system by reducing container transportation costs, alleviating port congestion, expanding the hinterland of the seaport, and providing convenient services for shippers (such as customs declaration) [4, 5]. Moreover, some studies have confirmed that dry ports have significant effects in reducing carbon dioxide emissions, transportation costs, and waiting time for container trucks [6–8]. Dry ports can also effectively integrate various inland transportation methods and nodes, improve the efficiency and benefits of inland cargo transportation, and promote the rapid development of inland container multimodal transportation [9]. With rapid globalization and developments in international trade, the container throughput of China’s coastal ports has greatly expanded, reaching 261.07 million TEU in 2019 [10]. Reductions of cost, energy consumption, and carbon emissions of inland container transportation contribute to the sustainable development of the Chinese economy, especially to the logistics industry [11]. In addition, there is a negative decoupling between China’s economic development and freight demand, and there is a limit to the growth of freight demand [12]. With the growth of gross domestic product (GDP), freight demand remains stable or even declines [12], and China’s seaports are bound to face increasing competition for supply in the future.As a hub in the transportation network, the role and value of the dry port depend on its location advantages. A reasonably located dry port can attract enough goods in the inland areas and achieve economies of scale through a combination of rail and road transport. On the contrary, problems such as overcapacity, waste of resources, low efficiency and utilization, and low rate of return on investment may occur in poorly planned dry ports. Moreover, the construction of a dry port requires a large amount of capital investment; once it is completed, it can hardly be relocated, and the sunk cost is high [13]. More than 150 dry ports were built in China by December 2019 (according to the data collected from Statistics). Most of them are not connected by railways, and some even lack the function of customs clearance. The throughput of goods is not consistent with the input of resources, and the efficiency of these dry ports is low [14]. As an important logistics node in the inland container transportation network, the location layout, scale, quantity, and service area of the dry port have important contributions to the efficiency of the entire transportation chain. This study measures the economic and environmental benefits of developing a dry port, considers the dry port’s carrying capacity, sets up its construction and operational costs at different scale levels, quantifies the time and carbon emission costs, builds the location model of the dry port, seeks the optimal scheme of inland container transportation, and takes Northeast China as an example. Based on the freight distribution of the foreign trade container volume, the optimal number of dry ports, location layout, service scope, and transportation scheme of the region are obtained to prove the effectiveness of the model.


## 2. Literature Review

### 2.1. Optimization of Container Transportation

#### 2.1.1. Optimization of Transportation Mode, Route, and Node

The main goal of related research is cost minimization, and the research methods mainly include (multiple) goal, mixed integer, and bi-level programming models. Jeong et al. [15] established a linear integer programming model with objective functions, including operation and transportation time costs, to reveal the potential hub location, and Wang and Yun [16] studied the container transportation problem with time windows under truck and train transportation modes. Demir et al. [17] proposed a green multimodal transport service network design problem with uncertain freight transport time window and demand and, using the sample average approximation method, provided a flexible, reliable, and environmentally friendly alternative for long-distance transportation of large quantities of goods. Wang et al. [18] studied the modeling and optimization of a combined highway-railway transportation system embedded in a hub spoke network under uncertainty and proposed a fuzzy biobjective optimization method that minimizes the expected value of the total cost and the maximum time demand on the critical value, so as to optimize the combined highway-railway transportation mode. Zhao et al. [19] established a two-stage model of combined positioning and path planning to locate a river hub port and dry port with the objective of minimizing total transportation cost.


#### 2.1.2. Optimization of a Dry Port-Seaport Network

Most of the related research considers carriers, seaports, dry port operators, and cargo owners and integrates economic, social, and environmental factors to maximize the interests of all parties, so as to optimize the dry port-seaport network. Wang et al. [20] studied the location of a dry port considering the interaction between the port and hinterland, comprehensively considered the relationship among the dry port, seaport, and regional logistics system, and optimized the configuration of the dry port system. Chang et al. [21] considered the carrying capacity limitation of the dry port, constructed a two-stage multicapacity-level dry port location model with the objective of minimizing construction and transportation costs, and optimized the layout and freight demand distribution of the dry port in Northeast China. The game theory method is also introduced into the optimization of dry port–seaport network [22–25]. Wei and Dong [26] applied the biobjective, mixed integer programming model to study a new type of cross-border logistics network connecting the marine logistics network with the inland cross-border logistics network through the dry port, and discussed the organization optimization of inland import and export goods under different network scenarios. Tsao and Thanh [27] used a multiobjective hybrid robust possibilistic flexible programming method to determine the optimal number, location, and capacity of dry ports. Van Nguyen et al. [13] combined data mining and complex network theory and used a two-stage optimization method to determine the location and service area of a dry port in a large-scale inland transportation system.


### 2.2. Cost Accounting of Container Inland Transportation

In recent years, the concept of sustainable development has been deeply rooted in the hearts of people, and transportation demand has become increasingly diversified. Environment, time, and social costs are becoming increasingly important in the optimization of inland container transportation [28]. As the dry port becomes the key hub of the inland container transportation network, the construction and operation costs of the dry port get included in the comprehensive cost of inland container transportation. O’Kelly [29] proposed a hub location model considering the fixed cost of infrastructure, added the fixed cost to the single allocation hub location problem, and optimized the p-hub location model with the number of hubs as the decision variable. Janic [30] proposed a comparable internal and external comprehensive cost model, and discussed the influence of the policy of internalizing external transport costs on the future competition between intermodal transport and road freight networks. Zhang et al. [31] internalized CO2 emission cost and optimized the network configuration for different CO2 prices. Chang [32] established a total cost optimization model including fixed and transportation costs. Pekin et al. [33] considered the impact of cargo types on time value, established a total cost function including multimodal transport market price and container time value, and improved the multimodal transport terminal location analysis model. Rahimi et al. [34] developed a multiobjective, multimodal queuing system considering traffic congestion and the maximum carrying capacity of the hub to analyze the waiting time of flow units in a transportation hub; this system was used to solve the multiobjective hub location problem of hub congestion. Wei and Dong [26] used comprehensive costs, including economic, environmental, and social costs, to study the long-term sustainable development of the dry port network.Previous studies on the locations of dry ports have many achievements (Table1). Based on previous studies, this study uses a technical and economic method to convert the construction cost of the dry port by year, brings the operation and time costs of the dry port into the comprehensive cost, optimizes the calculation of container road transportation cost, and considers the scale effect of railway transportation, as well as the capacity level of the dry port and the conditions of urban construction of the dry port, so as to make the joint optimization model of the dry port location and transportation scheme closer to the actual problems. Then, taking China’s northeast region as the empirical object, the empirical calculation is carried out, and the solution is solved using the AMPL software Gurobi 9.0.2 optimizer. The cargo flow distribution of container cargo is examined with regard to when it can be split or not under three transport modes: road transport, intermodal road-rail-road transport, and intermodal road-rail transport; the total cost of container transport under different transport scenarios are discussed, and the scale, location layout, and service scope of dry port construction when the total cost is optimal are determined, so as to realize the optimization of dry port location and inland container transport.Table 1
Summary of the literature on dry port location problem.
Global perspectiveGrade constraintFactors to be consideredConstruction costRoad cost functionProblem sizeMethodEconomyEnvironmentSocialTimeLinearSubsectionMediumLargeFeng et al.(2013)√√√√Greedy algorithm; genetic algorithmChang Zheng et al (2017)√√√√√MCHLP; genetic algorithmZhang et al.(2018)√√√√√Game-theoretical; logit discrete selectionTsao and Linh (2018)√√√√√√√Continuous approximation; game theoryXu et al.(2018)√√√√√Game-theoretical; logit discrete selectionTsao and Thanh (2019)√√√√√√√MOMRPFPZhao et al.(2019)√√√√√Two-stage planning modelVan Nguyen et al.(2020)√√Data mining; complex networkThis paper√√√√√√√√MCHLP; AMPL“Global perspective” does not specify the alternative dry port cities, but directly determines the location of dry port from the city nodes. “Problem size” refers to the size of the studied dry port network, which is classified as medium-scale if the study focuses on regional-level network and as large-scale if the focus is on the nationwide network.


## 2.1. Optimization of Container Transportation

### 2.1.1. Optimization of Transportation Mode, Route, and Node

The main goal of related research is cost minimization, and the research methods mainly include (multiple) goal, mixed integer, and bi-level programming models. Jeong et al. [15] established a linear integer programming model with objective functions, including operation and transportation time costs, to reveal the potential hub location, and Wang and Yun [16] studied the container transportation problem with time windows under truck and train transportation modes. Demir et al. [17] proposed a green multimodal transport service network design problem with uncertain freight transport time window and demand and, using the sample average approximation method, provided a flexible, reliable, and environmentally friendly alternative for long-distance transportation of large quantities of goods. Wang et al. [18] studied the modeling and optimization of a combined highway-railway transportation system embedded in a hub spoke network under uncertainty and proposed a fuzzy biobjective optimization method that minimizes the expected value of the total cost and the maximum time demand on the critical value, so as to optimize the combined highway-railway transportation mode. Zhao et al. [19] established a two-stage model of combined positioning and path planning to locate a river hub port and dry port with the objective of minimizing total transportation cost.


### 2.1.2. Optimization of a Dry Port-Seaport Network

Most of the related research considers carriers, seaports, dry port operators, and cargo owners and integrates economic, social, and environmental factors to maximize the interests of all parties, so as to optimize the dry port-seaport network. Wang et al. [20] studied the location of a dry port considering the interaction between the port and hinterland, comprehensively considered the relationship among the dry port, seaport, and regional logistics system, and optimized the configuration of the dry port system. Chang et al. [21] considered the carrying capacity limitation of the dry port, constructed a two-stage multicapacity-level dry port location model with the objective of minimizing construction and transportation costs, and optimized the layout and freight demand distribution of the dry port in Northeast China. The game theory method is also introduced into the optimization of dry port–seaport network [22–25]. Wei and Dong [26] applied the biobjective, mixed integer programming model to study a new type of cross-border logistics network connecting the marine logistics network with the inland cross-border logistics network through the dry port, and discussed the organization optimization of inland import and export goods under different network scenarios. Tsao and Thanh [27] used a multiobjective hybrid robust possibilistic flexible programming method to determine the optimal number, location, and capacity of dry ports. Van Nguyen et al. [13] combined data mining and complex network theory and used a two-stage optimization method to determine the location and service area of a dry port in a large-scale inland transportation system.


## 2.1.1. Optimization of Transportation Mode, Route, and Node

The main goal of related research is cost minimization, and the research methods mainly include (multiple) goal, mixed integer, and bi-level programming models. Jeong et al. [15] established a linear integer programming model with objective functions, including operation and transportation time costs, to reveal the potential hub location, and Wang and Yun [16] studied the container transportation problem with time windows under truck and train transportation modes. Demir et al. [17] proposed a green multimodal transport service network design problem with uncertain freight transport time window and demand and, using the sample average approximation method, provided a flexible, reliable, and environmentally friendly alternative for long-distance transportation of large quantities of goods. Wang et al. [18] studied the modeling and optimization of a combined highway-railway transportation system embedded in a hub spoke network under uncertainty and proposed a fuzzy biobjective optimization method that minimizes the expected value of the total cost and the maximum time demand on the critical value, so as to optimize the combined highway-railway transportation mode. Zhao et al. [19] established a two-stage model of combined positioning and path planning to locate a river hub port and dry port with the objective of minimizing total transportation cost.


## 2.1.2. Optimization of a Dry Port-Seaport Network

Most of the related research considers carriers, seaports, dry port operators, and cargo owners and integrates economic, social, and environmental factors to maximize the interests of all parties, so as to optimize the dry port-seaport network. Wang et al. [20] studied the location of a dry port considering the interaction between the port and hinterland, comprehensively considered the relationship among the dry port, seaport, and regional logistics system, and optimized the configuration of the dry port system. Chang et al. [21] considered the carrying capacity limitation of the dry port, constructed a two-stage multicapacity-level dry port location model with the objective of minimizing construction and transportation costs, and optimized the layout and freight demand distribution of the dry port in Northeast China. The game theory method is also introduced into the optimization of dry port–seaport network [22–25]. Wei and Dong [26] applied the biobjective, mixed integer programming model to study a new type of cross-border logistics network connecting the marine logistics network with the inland cross-border logistics network through the dry port, and discussed the organization optimization of inland import and export goods under different network scenarios. Tsao and Thanh [27] used a multiobjective hybrid robust possibilistic flexible programming method to determine the optimal number, location, and capacity of dry ports. Van Nguyen et al. [13] combined data mining and complex network theory and used a two-stage optimization method to determine the location and service area of a dry port in a large-scale inland transportation system.


## 2.2. Cost Accounting of Container Inland Transportation

In recent years, the concept of sustainable development has been deeply rooted in the hearts of people, and transportation demand has become increasingly diversified. Environment, time, and social costs are becoming increasingly important in the optimization of inland container transportation [28]. As the dry port becomes the key hub of the inland container transportation network, the construction and operation costs of the dry port get included in the comprehensive cost of inland container transportation. O’Kelly [29] proposed a hub location model considering the fixed cost of infrastructure, added the fixed cost to the single allocation hub location problem, and optimized the p-hub location model with the number of hubs as the decision variable. Janic [30] proposed a comparable internal and external comprehensive cost model, and discussed the influence of the policy of internalizing external transport costs on the future competition between intermodal transport and road freight networks. Zhang et al. [31] internalized CO2 emission cost and optimized the network configuration for different CO2 prices. Chang [32] established a total cost optimization model including fixed and transportation costs. Pekin et al. [33] considered the impact of cargo types on time value, established a total cost function including multimodal transport market price and container time value, and improved the multimodal transport terminal location analysis model. Rahimi et al. [34] developed a multiobjective, multimodal queuing system considering traffic congestion and the maximum carrying capacity of the hub to analyze the waiting time of flow units in a transportation hub; this system was used to solve the multiobjective hub location problem of hub congestion. Wei and Dong [26] used comprehensive costs, including economic, environmental, and social costs, to study the long-term sustainable development of the dry port network.Previous studies on the locations of dry ports have many achievements (Table1). Based on previous studies, this study uses a technical and economic method to convert the construction cost of the dry port by year, brings the operation and time costs of the dry port into the comprehensive cost, optimizes the calculation of container road transportation cost, and considers the scale effect of railway transportation, as well as the capacity level of the dry port and the conditions of urban construction of the dry port, so as to make the joint optimization model of the dry port location and transportation scheme closer to the actual problems. Then, taking China’s northeast region as the empirical object, the empirical calculation is carried out, and the solution is solved using the AMPL software Gurobi 9.0.2 optimizer. The cargo flow distribution of container cargo is examined with regard to when it can be split or not under three transport modes: road transport, intermodal road-rail-road transport, and intermodal road-rail transport; the total cost of container transport under different transport scenarios are discussed, and the scale, location layout, and service scope of dry port construction when the total cost is optimal are determined, so as to realize the optimization of dry port location and inland container transport.Table 1
Summary of the literature on dry port location problem.
Global perspectiveGrade constraintFactors to be consideredConstruction costRoad cost functionProblem sizeMethodEconomyEnvironmentSocialTimeLinearSubsectionMediumLargeFeng et al.(2013)√√√√Greedy algorithm; genetic algorithmChang Zheng et al (2017)√√√√√MCHLP; genetic algorithmZhang et al.(2018)√√√√√Game-theoretical; logit discrete selectionTsao and Linh (2018)√√√√√√√Continuous approximation; game theoryXu et al.(2018)√√√√√Game-theoretical; logit discrete selectionTsao and Thanh (2019)√√√√√√√MOMRPFPZhao et al.(2019)√√√√√Two-stage planning modelVan Nguyen et al.(2020)√√Data mining; complex networkThis paper√√√√√√√√MCHLP; AMPL“Global perspective” does not specify the alternative dry port cities, but directly determines the location of dry port from the city nodes. “Problem size” refers to the size of the studied dry port network, which is classified as medium-scale if the study focuses on regional-level network and as large-scale if the focus is on the nationwide network.


## 3. Problem Description

The joint optimization problem of the dry port location and transportation scheme studied in this paper is a two-stage and three-level inland container transportation network (Figure1) optimization problem, which is composed of shippers, dry ports, and seaports. In this network, there are three modes of transportation: the first mode is intermodal road-rail transport (RD-RL mode), in which containers are transported from the shipper to the dry port by road, and then transported from the dry port to the seaport by rail. The second mode is intermodal road-rail-road transport (RD-RL-RD mode). In reality, some dry ports lack railway facilities that are directly connected with the seaport and thus need road trucks to transport containers from the seaport city railway station to the seaport wharf. The third mode is road transport (RD mode), in which the containers are directly transported from the shipper to the seaport.Figure 1
A simple diagram of an inland container transportation network.For the inland container transportation network,Net=Nd,E, where Netrefers to the inland container transportation network and Nd=Nd1,Nd2,Nd3 represents the transportation node. There are three types of nodes in the network: Nd1=Ndi1,i=1,2,3,…,I refers to the node of the shipper cityI; Nd2⊆Nd1=Ndj2,j=1,2,…,J refers to the node of the dry port city J; and the dry port node is generated in the shipper city node. Nd3=Ndk3,k=1 represents the only seaport node, and Eis the arc between the nodes Nd1,Nd2,andNd3, which are different modes of transportation. Eijk=Ndi1,Ndj2,Ndk3 is the arc that refers to road rail transportation through the dry port. Eik=Ndi1,Ndk3 is the arc that means the road is directly transported.


## 4. Formulation

### 4.1. Model Assumptions

(1)
The total cost of the inland container transportation network includes the construction, operation, and logistics (transportation economic, time, and carbon emission) costs of the dry port.(2)
Under the corresponding construction level, the container transfer capacity limits, fixed construction cost, annual operation cost, recommended scale range, storage waiting time, and discount coefficient of the scale effect of rail tariff are known.(3)
The foreign trade volume of containers in node cities, namely, freight demand, is known (dry ports are generated in shipper city nodes).(4)
The containers are transferred once through a single dry port.(5)
Without considering the transport capacity constraints in the freight transportation process, sufficient road passing capacity and sufficient railway trains are assumed.(6)
During container transport, trucks and trains travel at a known average speed.(7)
The container transport in the inland container transport network is a one-way transport, and only the process of transporting containers from the shipper to the seaport is studied; reverse transportation is not considered.(8)
A 20-foot box is the object of study, and the total weight of the container is set at 24 tons according to the standard set by ISO/TC104.(9)
The maximum level limit of dry ports that can be built in different cities is known.


### 4.2. Model Formulation

The parameters and variables in cost accounting and model construction and their meanings are listed in Table2.Table 2
The parameters and variables and their meanings.
SymbolCategoryMeaningIIndicesSet of shippersJIndicesSet of candidate locations of dry portsGIndicesSet of capacity levels for dry portsfbParametersThe total cost of opening a dry port with capacity levelb (USD)sParametersInvestment payoff period for dry port construction (year)uParametersCapital discount rate (percentage)rgParametersThe cost of operating a dry port with capacity levelg per year (USD)CijrdParametersEconomic cost of container transport from shipperi to dry port j by road (USD)CjkrlParametersEconomic cost of container transport from dry portj to seaport k by railway (USD)CkkrdParametersEconomic cost of container transportation from the rail station in the seaport city to seaportk by road (USD)LijrdParametersDistance of transport from shipperi to dry port j by road (km)LjkrlParametersDistance of transport from dry portj to seaport k by rail (km)LkkrdParametersDistance of container transport from the railway station in the seaport city to seaportk by road (km)P1ParametersBase price of railway delivery (USD)P2ParametersBase price of railway operation (USD)P3ParametersContainer usage fee (USD)P4ParametersContainer cleaning fee (USD)P5ParametersContainer handling charges (USD)P6ParametersUnloading charges of containers in the yard (USD)discgParametersDiscount coefficient of the dry port with capacity levelgWParametersThe price of transport per container from the rail station in the seaport city to seaports by road (USD per TEU)LikrdParametersDistance of transport from shipperg to seaport s by road (km)CijrdtParametersTime cost of container transport from shipperi to dry port j by road (USD)CjkrltParametersTime cost of container transport from dry portj to seaport k by rail (USD)CkkrdtParametersTime cost of container transport from the rail station in the seaport city to seaportk by road (USD)tgParametersCargo storage time at the dry port with capacity levelg (day)VParametersAverage value of the cargo per container (USD)RParametersCurrent deposit interest rate (percentage)vrlParametersAverage speed of container transport by rail (km per hour)vrdParametersAverage speed of container transport by road (km per hour)DNParameters365, the number of days in a yearHNParameters24, the number of hours in a dayCijrdcParametersCarbon dioxide emission cost of container transport from shipperi to dry port j by road (USD)CjkrlcParametersCarbon dioxide emission cost of container transportation from dry portj to seaport k by railway (USD)CkkrdcParametersCarbon dioxide emission cost of container transport from the railway station in the seaport city to seaports by road (USD)ErlParametersCarbon dioxide emissions per container per distance by rail (kg eq per container per km)ErdParametersCarbon dioxide emissions per container per distance by road (kg eq per container per km)ErrParametersCarbon dioxide emissions per container of road and rail transshipment handling (kg eq per TEU)TcParametersUnit cost of carbon dioxide emissions handling in the outside market (USD per kg eq)nParameters2,RD−RL−RD mode,1,RD−RL mode.CapgParametersCapacity of the dry port with capacityg (TEU)HjParametersThe highest level of the dry port that the candidate dry port cityj can buildMParameters1,000,000,000, a large enough numberQiParametersVolume of containers transported from shippersi∈IyjgDecision variables1,if dry portjwith capacity levelgis opened,0,otherwise.xijDecision variablesWhether containers are transported from shippersi∈Ito candidate dry ports j∈JqijDecision variablesVolume of containers transported from shippersi∈Ito candidate dry ports j∈JTaking the minimum total cost of inland container transportation as the objective function, this study establishes a model of a dry port location with multiple capacity levels. The total transportation cost,C, is composed of the annual dry port construction cost Cc, dry port operating cost per year Co, and comprehensive transportation cost Clc, which can be expressed as(1)C=Cc+Co+Clc.


#### 4.2.1. Annual Construction Cost of Dry PortCc

Assuming that the present value of investment isf, the benchmark rate of return on investment isu, and the construction calculation period of the project is syears, then the capital recovery annuity isf×u/1−1+u−s, and f×u/1−1+u−sis the annual capital recovery coefficient [35], from which the annual construction cost of grade g dry port can be obtained:(2)Cc=∑j∈J∑g∈Gfgyjgu1+us1+us−1.


#### 4.2.2. Operating Cost of Dry PortCo

The operating cost of the dry port refers to the costs directly related to the operation of the dry port or related to the labor services provided by the dry port, including direct material expenses, direct labor costs, and indirect costs of operation and management. Transshipment is the main service provided by dry ports. In this study, the cost of transshipment between road and rail transport that occurs in dry port transshipment is classified as part of the operating cost of dry ports.(3)Co=∑j∈J∑g∈Grgyjg.


#### 4.2.3. Comprehensive Transportation Costs of Inland ContainersClc

The comprehensive transportation cost of inland containers comprises transportation, time, and environmental costs.This study assumes that the scale effect of a dry port is reflected in the economic cost of railway transportation. The larger the level of the dry port, the smaller is the discount coefficient of the scale effect. The market-oriented degree of container road transportation is high; thus, there is no clear formula to determine its price. Assuming that the container freight from the railway station to the seaport in the seaport city is constant (W), and the rest of the road freight is a function of the road transportation distance f(L), the specific functional relationship needs to be calculated by collecting the actual data. The economic cost of container transport through dry port transshipment is(4)Cdp=∑i∈I∑j∈JCijrd+∑j∈J∑i∈I∑g∈GCijrl+n−1∑i∈I∑j∈JCkkrd=∑i∈I∑j∈JfLijrdqij+∑j∈J∑i∈I∑g∈GP1+P2Ljkrl+P3+P4+P5+P6qijdiscg+n−1∑i∈I∑j∈JWqij.The economic cost of container transportation for direct road transport is(5)Crd=∑i∈I∑j∈JfLikrdQi−qij.In this study, the time cost of transportation is expressed using the current interest that can be generated by the value of the freight in the container during transportation for the corresponding time. The time cost of container transport through dry port transit is calculated as(6)Cdpt=∑i∈I∑j∈JCijrdt+∑j∈J∑i∈I∑g∈GCjkrlt+∑i∈I∑j∈JCkkrdt=∑i∈I∑j∈JLijrdDN⋅vrd⋅HNVRqij+∑j∈J∑i∈I∑g∈G1DNLjkrlvrl⋅HN+tgVRqij+∑i∈I∑j∈JLkkrdDN⋅vrd⋅HNVRqij.The container transportation time cost of direct road transportation is(7)Crdt=∑i∈I∑j∈JLikrdDN⋅vrd⋅HNVRQi−qij.In this study, the carbon tax to be paid for CO2 emissions is used to express the environmental cost, which depends on the amount of CO2 emissions during the transportation, loading, and unloading of containers. The carbon emission cost of container transportation by dry port transshipment is(8)Cdpc=∑i∈I∑j∈JCijrdc+∑j∈J∑i∈ICjkrlc+Crdcss=∑i∈I∑j∈JErdLijrdqijTc+∑j∈J∑i∈IErlLjkrl+nmqijTc+∑i∈I∑j∈JErdLkkrdqijTc.Cost accounting of the carbon emissions of container transportation for direct road transportation is(9)Crdc=∑i∈I∑j∈JErdLikrdQi−qijTc.In summary, the logistics-related costs of inland container transport are accounted for as(10)Clc=Cdp+Crd+Cdpt+Crdt+Cdpc+Crdc.The model is as follows:(11)minC=Cc+Co+Clc,s.t.Qi,qij∈N,∀i∈I,∀j∈J,∑j∈Jqij≤Qi,∀i∈I,xijM≥qij,∀i∈I,∀j∈J,xij≤qijM,∀i∈I,∀j∈J,∑g∈Gyjg≤∑i∈Ixij,∀j∈J,M∑g∈Gyjg≥∑i∈Ixij,∀j∈J,∑g∈Gyjg≤1,∀j∈J,∑i∈Iqij≤∑g∈GyjgCapg,∀j∈J,∑g∈Gyjgg≤Hj,∀j∈J,yjg∈0,1,∀j∈J,∀g∈G.


## 4.1. Model Assumptions

(1)
The total cost of the inland container transportation network includes the construction, operation, and logistics (transportation economic, time, and carbon emission) costs of the dry port.(2)
Under the corresponding construction level, the container transfer capacity limits, fixed construction cost, annual operation cost, recommended scale range, storage waiting time, and discount coefficient of the scale effect of rail tariff are known.(3)
The foreign trade volume of containers in node cities, namely, freight demand, is known (dry ports are generated in shipper city nodes).(4)
The containers are transferred once through a single dry port.(5)
Without considering the transport capacity constraints in the freight transportation process, sufficient road passing capacity and sufficient railway trains are assumed.(6)
During container transport, trucks and trains travel at a known average speed.(7)
The container transport in the inland container transport network is a one-way transport, and only the process of transporting containers from the shipper to the seaport is studied; reverse transportation is not considered.(8)
A 20-foot box is the object of study, and the total weight of the container is set at 24 tons according to the standard set by ISO/TC104.(9)
The maximum level limit of dry ports that can be built in different cities is known.


## 4.2. Model Formulation

The parameters and variables in cost accounting and model construction and their meanings are listed in Table2.Table 2
The parameters and variables and their meanings.
SymbolCategoryMeaningIIndicesSet of shippersJIndicesSet of candidate locations of dry portsGIndicesSet of capacity levels for dry portsfbParametersThe total cost of opening a dry port with capacity levelb (USD)sParametersInvestment payoff period for dry port construction (year)uParametersCapital discount rate (percentage)rgParametersThe cost of operating a dry port with capacity levelg per year (USD)CijrdParametersEconomic cost of container transport from shipperi to dry port j by road (USD)CjkrlParametersEconomic cost of container transport from dry portj to seaport k by railway (USD)CkkrdParametersEconomic cost of container transportation from the rail station in the seaport city to seaportk by road (USD)LijrdParametersDistance of transport from shipperi to dry port j by road (km)LjkrlParametersDistance of transport from dry portj to seaport k by rail (km)LkkrdParametersDistance of container transport from the railway station in the seaport city to seaportk by road (km)P1ParametersBase price of railway delivery (USD)P2ParametersBase price of railway operation (USD)P3ParametersContainer usage fee (USD)P4ParametersContainer cleaning fee (USD)P5ParametersContainer handling charges (USD)P6ParametersUnloading charges of containers in the yard (USD)discgParametersDiscount coefficient of the dry port with capacity levelgWParametersThe price of transport per container from the rail station in the seaport city to seaports by road (USD per TEU)LikrdParametersDistance of transport from shipperg to seaport s by road (km)CijrdtParametersTime cost of container transport from shipperi to dry port j by road (USD)CjkrltParametersTime cost of container transport from dry portj to seaport k by rail (USD)CkkrdtParametersTime cost of container transport from the rail station in the seaport city to seaportk by road (USD)tgParametersCargo storage time at the dry port with capacity levelg (day)VParametersAverage value of the cargo per container (USD)RParametersCurrent deposit interest rate (percentage)vrlParametersAverage speed of container transport by rail (km per hour)vrdParametersAverage speed of container transport by road (km per hour)DNParameters365, the number of days in a yearHNParameters24, the number of hours in a dayCijrdcParametersCarbon dioxide emission cost of container transport from shipperi to dry port j by road (USD)CjkrlcParametersCarbon dioxide emission cost of container transportation from dry portj to seaport k by railway (USD)CkkrdcParametersCarbon dioxide emission cost of container transport from the railway station in the seaport city to seaports by road (USD)ErlParametersCarbon dioxide emissions per container per distance by rail (kg eq per container per km)ErdParametersCarbon dioxide emissions per container per distance by road (kg eq per container per km)ErrParametersCarbon dioxide emissions per container of road and rail transshipment handling (kg eq per TEU)TcParametersUnit cost of carbon dioxide emissions handling in the outside market (USD per kg eq)nParameters2,RD−RL−RD mode,1,RD−RL mode.CapgParametersCapacity of the dry port with capacityg (TEU)HjParametersThe highest level of the dry port that the candidate dry port cityj can buildMParameters1,000,000,000, a large enough numberQiParametersVolume of containers transported from shippersi∈IyjgDecision variables1,if dry portjwith capacity levelgis opened,0,otherwise.xijDecision variablesWhether containers are transported from shippersi∈Ito candidate dry ports j∈JqijDecision variablesVolume of containers transported from shippersi∈Ito candidate dry ports j∈JTaking the minimum total cost of inland container transportation as the objective function, this study establishes a model of a dry port location with multiple capacity levels. The total transportation cost,C, is composed of the annual dry port construction cost Cc, dry port operating cost per year Co, and comprehensive transportation cost Clc, which can be expressed as(1)C=Cc+Co+Clc.


### 4.2.1. Annual Construction Cost of Dry PortCc

Assuming that the present value of investment isf, the benchmark rate of return on investment isu, and the construction calculation period of the project is syears, then the capital recovery annuity isf×u/1−1+u−s, and f×u/1−1+u−sis the annual capital recovery coefficient [35], from which the annual construction cost of grade g dry port can be obtained:(2)Cc=∑j∈J∑g∈Gfgyjgu1+us1+us−1.


### 4.2.2. Operating Cost of Dry PortCo

The operating cost of the dry port refers to the costs directly related to the operation of the dry port or related to the labor services provided by the dry port, including direct material expenses, direct labor costs, and indirect costs of operation and management. Transshipment is the main service provided by dry ports. In this study, the cost of transshipment between road and rail transport that occurs in dry port transshipment is classified as part of the operating cost of dry ports.(3)Co=∑j∈J∑g∈Grgyjg.


### 4.2.3. Comprehensive Transportation Costs of Inland ContainersClc

The comprehensive transportation cost of inland containers comprises transportation, time, and environmental costs.This study assumes that the scale effect of a dry port is reflected in the economic cost of railway transportation. The larger the level of the dry port, the smaller is the discount coefficient of the scale effect. The market-oriented degree of container road transportation is high; thus, there is no clear formula to determine its price. Assuming that the container freight from the railway station to the seaport in the seaport city is constant (W), and the rest of the road freight is a function of the road transportation distance f(L), the specific functional relationship needs to be calculated by collecting the actual data. The economic cost of container transport through dry port transshipment is(4)Cdp=∑i∈I∑j∈JCijrd+∑j∈J∑i∈I∑g∈GCijrl+n−1∑i∈I∑j∈JCkkrd=∑i∈I∑j∈JfLijrdqij+∑j∈J∑i∈I∑g∈GP1+P2Ljkrl+P3+P4+P5+P6qijdiscg+n−1∑i∈I∑j∈JWqij.The economic cost of container transportation for direct road transport is(5)Crd=∑i∈I∑j∈JfLikrdQi−qij.In this study, the time cost of transportation is expressed using the current interest that can be generated by the value of the freight in the container during transportation for the corresponding time. The time cost of container transport through dry port transit is calculated as(6)Cdpt=∑i∈I∑j∈JCijrdt+∑j∈J∑i∈I∑g∈GCjkrlt+∑i∈I∑j∈JCkkrdt=∑i∈I∑j∈JLijrdDN⋅vrd⋅HNVRqij+∑j∈J∑i∈I∑g∈G1DNLjkrlvrl⋅HN+tgVRqij+∑i∈I∑j∈JLkkrdDN⋅vrd⋅HNVRqij.The container transportation time cost of direct road transportation is(7)Crdt=∑i∈I∑j∈JLikrdDN⋅vrd⋅HNVRQi−qij.In this study, the carbon tax to be paid for CO2 emissions is used to express the environmental cost, which depends on the amount of CO2 emissions during the transportation, loading, and unloading of containers. The carbon emission cost of container transportation by dry port transshipment is(8)Cdpc=∑i∈I∑j∈JCijrdc+∑j∈J∑i∈ICjkrlc+Crdcss=∑i∈I∑j∈JErdLijrdqijTc+∑j∈J∑i∈IErlLjkrl+nmqijTc+∑i∈I∑j∈JErdLkkrdqijTc.Cost accounting of the carbon emissions of container transportation for direct road transportation is(9)Crdc=∑i∈I∑j∈JErdLikrdQi−qijTc.In summary, the logistics-related costs of inland container transport are accounted for as(10)Clc=Cdp+Crd+Cdpt+Crdt+Cdpc+Crdc.The model is as follows:(11)minC=Cc+Co+Clc,s.t.Qi,qij∈N,∀i∈I,∀j∈J,∑j∈Jqij≤Qi,∀i∈I,xijM≥qij,∀i∈I,∀j∈J,xij≤qijM,∀i∈I,∀j∈J,∑g∈Gyjg≤∑i∈Ixij,∀j∈J,M∑g∈Gyjg≥∑i∈Ixij,∀j∈J,∑g∈Gyjg≤1,∀j∈J,∑i∈Iqij≤∑g∈GyjgCapg,∀j∈J,∑g∈Gyjgg≤Hj,∀j∈J,yjg∈0,1,∀j∈J,∀g∈G.


## 4.2.1. Annual Construction Cost of Dry PortCc

Assuming that the present value of investment isf, the benchmark rate of return on investment isu, and the construction calculation period of the project is syears, then the capital recovery annuity isf×u/1−1+u−s, and f×u/1−1+u−sis the annual capital recovery coefficient [35], from which the annual construction cost of grade g dry port can be obtained:(2)Cc=∑j∈J∑g∈Gfgyjgu1+us1+us−1.


## 4.2.2. Operating Cost of Dry PortCo

The operating cost of the dry port refers to the costs directly related to the operation of the dry port or related to the labor services provided by the dry port, including direct material expenses, direct labor costs, and indirect costs of operation and management. Transshipment is the main service provided by dry ports. In this study, the cost of transshipment between road and rail transport that occurs in dry port transshipment is classified as part of the operating cost of dry ports.(3)Co=∑j∈J∑g∈Grgyjg.


## 4.2.3. Comprehensive Transportation Costs of Inland ContainersClc

The comprehensive transportation cost of inland containers comprises transportation, time, and environmental costs.This study assumes that the scale effect of a dry port is reflected in the economic cost of railway transportation. The larger the level of the dry port, the smaller is the discount coefficient of the scale effect. The market-oriented degree of container road transportation is high; thus, there is no clear formula to determine its price. Assuming that the container freight from the railway station to the seaport in the seaport city is constant (W), and the rest of the road freight is a function of the road transportation distance f(L), the specific functional relationship needs to be calculated by collecting the actual data. The economic cost of container transport through dry port transshipment is(4)Cdp=∑i∈I∑j∈JCijrd+∑j∈J∑i∈I∑g∈GCijrl+n−1∑i∈I∑j∈JCkkrd=∑i∈I∑j∈JfLijrdqij+∑j∈J∑i∈I∑g∈GP1+P2Ljkrl+P3+P4+P5+P6qijdiscg+n−1∑i∈I∑j∈JWqij.The economic cost of container transportation for direct road transport is(5)Crd=∑i∈I∑j∈JfLikrdQi−qij.In this study, the time cost of transportation is expressed using the current interest that can be generated by the value of the freight in the container during transportation for the corresponding time. The time cost of container transport through dry port transit is calculated as(6)Cdpt=∑i∈I∑j∈JCijrdt+∑j∈J∑i∈I∑g∈GCjkrlt+∑i∈I∑j∈JCkkrdt=∑i∈I∑j∈JLijrdDN⋅vrd⋅HNVRqij+∑j∈J∑i∈I∑g∈G1DNLjkrlvrl⋅HN+tgVRqij+∑i∈I∑j∈JLkkrdDN⋅vrd⋅HNVRqij.The container transportation time cost of direct road transportation is(7)Crdt=∑i∈I∑j∈JLikrdDN⋅vrd⋅HNVRQi−qij.In this study, the carbon tax to be paid for CO2 emissions is used to express the environmental cost, which depends on the amount of CO2 emissions during the transportation, loading, and unloading of containers. The carbon emission cost of container transportation by dry port transshipment is(8)Cdpc=∑i∈I∑j∈JCijrdc+∑j∈J∑i∈ICjkrlc+Crdcss=∑i∈I∑j∈JErdLijrdqijTc+∑j∈J∑i∈IErlLjkrl+nmqijTc+∑i∈I∑j∈JErdLkkrdqijTc.Cost accounting of the carbon emissions of container transportation for direct road transportation is(9)Crdc=∑i∈I∑j∈JErdLikrdQi−qijTc.In summary, the logistics-related costs of inland container transport are accounted for as(10)Clc=Cdp+Crd+Cdpt+Crdt+Cdpc+Crdc.The model is as follows:(11)minC=Cc+Co+Clc,s.t.Qi,qij∈N,∀i∈I,∀j∈J,∑j∈Jqij≤Qi,∀i∈I,xijM≥qij,∀i∈I,∀j∈J,xij≤qijM,∀i∈I,∀j∈J,∑g∈Gyjg≤∑i∈Ixij,∀j∈J,M∑g∈Gyjg≥∑i∈Ixij,∀j∈J,∑g∈Gyjg≤1,∀j∈J,∑i∈Iqij≤∑g∈GyjgCapg,∀j∈J,∑g∈Gyjgg≤Hj,∀j∈J,yjg∈0,1,∀j∈J,∀g∈G.


## 5. Case Study of Northeast China

In 2017, Dalian Port undertook 98.5% of the volume of foreign trade containers in Northeast China. The sea-rail intermodal transport channel, with Dalian port as the main sea-rail intermodal hub, has a large-scale operation, which delivers the sea-rail intermodal transport volume throughout Northeast China. The foreign trade container hinterland of Dalian port includes three provinces in Northeast China and four leagues in Inner Mongolia. Due to the particularity of geographical location, the hinterland has strong independence. In addition, in 2016, among the major ports in China, Dalian Port’s sea-rail combined transportation volume reached 406,000 TEU, accounting for 19.16% of the country’s total volume. To sum up, it is representative and typical to select the northeast region to carry out the joint optimization research of dry port planning and container transportation.


### 5.1. Research Scope

There are 41 prefecture-level cities in Northeast China, including six coastal port cities. The container transportation modes of these cities are more diverse than those of inland cities. They are not included in the scope of this study. Therefore, the scope of shippers and alternative dry port cities in this study covers 35 prefecture-level cities in the inland of Northeast China (Table3), and the destination port is Dalian Port.Table 3
Thirty-five cities in Northeast China.
Research scopeCity nameHeilongjiang provinceHarbin, Qiqihar, Jixi, Hegang, Shuangyashan, Daqing, Yichun, Jiamusi, Qitaihe, Mudanjiang, Heihe, Suihua and DaxinganlingJilin provinceChangchun, Jilin, Siping, Liaoyuan, Tonghua, Baishan, Songyuan, Baicheng, and YanbianLiaoning provinceShenyang, Anshan, Fushun, Benxi, Fuxin, Liaoyang, Tieling, and ChaoyangInner mongolia autonomous regionChifeng, Tongliao, Hulunbuir, Xing’an league, and Xilin Gol League


### 5.2. Data Sources and Processing

The core of the joint optimization problem of dry port with multilevel location and container transportation is to determine the number, location, and grade of land ports, so as to achieve the goal of reducing inland container transportation cost. The total transportation cost is selected as the objective function. The basis of joint optimization is to determine the cost of road and rail transportation. The demand and spatial distribution of container freight also have an important influence on joint optimization. In addition, cities with developed economy and convenient transportation should be chosen for the construction of dry ports. On one hand, it is conducive to the support of goods and human resources; on the other hand, it can facilitate the distribution of goods and enhance the attraction of goods by dry port. Therefore, this study collects data regarding the container transportation volume of each city, the road distance and railway distance between cities, and according to the existing research, the average speed of road and rail transportation, and other related parameters are set.


#### 5.2.1. Mileage Data

The railway distance and the highway distance (Table4) were taken from the “Train ticket network” and the “Gaode map,” respectively (the data for “Train ticket network” is updated up to 2020).


#### 5.2.2. Foreign Trade Container Weights

From custom data statistics, this study obtained the volume of the foreign trade containers of 35 cities (Table4) in Northeast China in 2017.


#### 5.2.3. Transportation Cost-Related Data

Reflecting the actual situation in Northeast China, this study sets the average speed of highway operation as 70 km/h, and the average speed of railway operation as 100 km/h. The relevant charging standards of rail transport (Table5) come from the railway freight tariff rules of the Ministry of Railways of the People’s Republic of China and the notice of the National Development and Reform Commission on issues related to the adjustment of railway freight tariffs (2014).The relevant fee standard for road transport is regressed from the cost data of 83 road containers (20-ft. containers) transported by 29 freight forwarders in China (Table6) [36]. The price function of the container road transport is(12)fLR=1204.31,LR≤50,0.0007LR2+5.7532LR+914.9,LR>50.Among them,LRis the road transport distance.Regarding the economic cost of road transport from the railway station to the port in the seaport city when the seaport city lacks railway facilities that are directly connected to the port, the container goods must be transported to the port through the container truck. Generally, the distance between the railway station of the port city and the port is short, and it is easy to distribute goods back and forth; this is classified as short-haul transportation. Through investigation, it is concluded that the price (W) of short-distance transshipment of containers in the seaport city is 29.61 USD/TEU.


#### 5.2.4. Time Cost-Related Data

According to the average value of export containers in Dalian port,V = 29,609.01 USD/TEU; the interest rate is the current deposit interest rate in 2020; and R = 0.35%.


#### 5.2.5. Carbon Cost Data

According to Li and Su [37], carbon emissions from road transport are quantified as 0.796 kg/(ton· km); that from rail transport, 0.028 kg/(ton· km); and that from rail transit, 1.56 kg/ton. According to the standard of the Ministry of Environmental Protection, the carbon tax is set at 7.40 USD/ton. According to the ISO Standard for Container, the weight of the 20-foot container is 24 tons.


#### 5.2.6. Calculation Parameters of Land Port Construction Cost

In this study, the capital discount rate is 8%, and the capital recovery period for dry port construction cost is 15 years.


#### 5.2.7. Relevant Data of Dry Port Grade

Referring to the relevant literature [38] and the investment and operation of similar dry ports in China, this study estimates the construction level and annual operation cost of the dry port, recommended scale range, general storage waiting time, and the discount coefficient of the scale effect and divides the dry port into four levels. The scale of the first-level dry port is the smallest, and the scale of the fourth-level dry port is the largest. The specific divisions are listed in Table 7.Table 4
Foreign trade container volume and related mileage data of cities.
Foreign trade container weight in 2017/TEURoad distance to Dalian port/kmRailway distance to Dalian station/kmAnshan54799302.2308Liaoyang25145332.3333Shenyang467953382.1397Fushun31920445.9444Benxi20486381.2457Tieling8408452.7467Chaoyang30800481.3473Fuxin6793408.4535Liaoyuan7254611.0559Siping9763582.4585Tongliao17664633.8634Changchun395951680.8700Jilin36360782.7821Baishan14326637.3833Songyuan9654812.5849Tonghua3960557.4870Baicheng15547902.5938Harbin45141948.6946Chifeng20761633.5968Suihua125691051.91071Yanbian Korean autonomous prefecture490191016.71073Xing’an league293963.51116Daqing81033985.31120Qiqihar53001138.31156Jiamusi81781289.91271Mudanjiang387551055.41315Yichun28601262.51387Qitaihe29012831460Jixi274012231509Xilinguole league112081026.11513Hegang46713541521Shuangyashan23441358.11544Heihe52411510.11582Daxinganling2301699.11587Hulunbeir329441474.61663


### 5.3. The Capacity of Cities to Build Dry Ports

The construction of a dry port is closely related to the city’s economic development level, investment capacity, foreign trade development level, transportation conditions, and railway infrastructure conditions. Therefore, this study selects nine indicators related to the construction and development of dry ports: GDP, actual foreign investment, total retail sales of social consumer goods, local government revenue, investment in fixed assets, total post and telecommunications business, foreign trade import, foreign trade export, and the score of railway station grade (the data corresponding to the index is from the city statistical bulletin in 2018). The factor analysis method is used to evaluate 35 inland cities in Northeast China, and the highest dry port grade that each city can build is obtained. Using SPSS for dimension reduction factor analysis, the result of the KMO test is 0.868, and the probability of Bartlett’s sphericity test statistical value is less than0.001P≤0.001, which shows that the selected variables have high correlation and are suitable for factor analysis. In accordance with the principle of eigenvalues greater than 1, two common factors are extracted by principal component analysis, and the cumulative contribution rate of the principal component is 87.457%. Table 8 shows the scores and grade limits of the construction capacity of the dry ports in each city.Table 5
Railway transport related charging standards.
Pay serviceCharge standard (20-foot box)Charging basisBase price of railway delivery (P1)65.14 USD/TEUChina railway Corporation: Notice on the adjustment of railway container freight rate (2018)Base price of railway operation (P2)0.47 USD (TEU·km)Container usage fee (P3)If it is less than 500 km, it’s 19.25 USD/TEU; if it is less than 2000 km, it in 1.92 USD per 100 kmNotice on adjusting container usage fee and freight tarpaulin usage fee (tyy (2008) No. 144)Container cleaning fee (P4)0.74 USD/TEUNotice on adjusting the rates of some passenger and freight miscellaneous charges and announcing the rates of railway coal dust suppression transportation and items (T. Y. (2009) No. 224)Container handling charge (P5)28.87 USD/TEUArticle 16 of the notice of the Ministry of railways on revising and re promulgating the charging method for railway cargo handling operationsUnloading fee of container in yard (P6)26.65 USD/TEU


### 5.4. Model Solution Results

In this study, we use the AMPL software, select the optimizer Gurobi 9.0.2 to solve the model, and obtain the cost of different transportation modes and the construction scale level, quantity, and hinterland range of the dry port. Moreover, this study analyzes the model results from two aspects: transportation cost change and the dry port construction scheme.


#### 5.4.1. Changes in Transportation Costs

From the perspective of total cost, the total cost of direct transportation of containers by road is the highest, at about 1,202.23 million USD, and the total cost of the RD-RL mode is the lowest, at approximately 941.68 million USD (Table9). Compared with the RD mode, the total costs of the RD–RD-RL mode (container cannot be split), RD-RL–RD mode, and RD-RL mode are lower by 17.85%, 18.92%, and 21.67%, respectively. The results reveal that the container multimodal transport mode of dry port transshipment can effectively reduce the total transportation cost. The RD-RL mode is the best transport mode with the optimal total transport cost. This indicates that whether the railway can reach the seaport directly has a significant impact on reducing the cost of container transportation.Table 6
Quadratic function regression results of road transportation economic cost.
Dependent variable:YMethod: least squaresDate: 01/26/21 time: 16 : 19Sample: 1 83Included observations: 83Y = C(1)∗X^2 + C(2)∗X + C(3)CoefficientStd. Errort-statisticProb.C(1)0.0007330.0001325.5429240C(2)5.7531840.43066413.358880C(3)914.8968175.73495.2061180R-squared0.960057Mean dependent var4063.855Adjusted R-squared0.959059S.D. dependent var4921.867S.E. of regression995.8865Akaike info criterion16.68062Sum squared resid79343192Schwarz criterion16.76805Log likelihood-689.2457Hannan-Quinn criter.16.71574F-statistic961.4377Durbin-Watson stat1.765773Prob (F-statistic)0Regarding transportation economic cost, the proportion of economic cost under different transportation modes in the total transportation cost can reach more than 88%, and the economic cost of the RD mode is the highest. Compared with the RD mode, the economic costs of the RD-RL-RD (container cannot be split), RD-RL-RD, and RD-RL modes are lower by 18.03%, 19.82%, and 22.98%, respectively.In terms of time cost, the impact of the time cost of the different transportation modes on the total transportation cost is almost negligible (Table10). The time cost of the RD mode is the lowest. Compared with the RD mode, the time cost of the RD-RL-RD (container cannot be split), RD-RL-RD, and RD-RL modes are higher by 4.63%, 7.12%, and 8.02%, respectively. This indicates that the direct road transportation mode has greater competitive advantage in terms of transportation time.Table 7
Classification of dry port scale.
Level of dry portConstruction cost (million USD)Operating cost (million USD)Designed carrying capacity (10,000 TEU)Storage waiting time (day)Discount coefficient of the scale effect119.251.11521238.492.22101.80.9376.984.44201.50.84153.978.884010.7With regard to carbon emission cost, the carbon emission cost of the RD mode accounts for 10.82% of the total cost, while that of the multimodal transportation mode accounts for less than 5%. Compared with the RD mode, the carbon emission costs of the RD-RL-RD (container cannot be split), RD-RL-RD, and RD-RL modes are lower by 63.06%, 76.34%, and 78.37%, respectively. This indicates that multimodal transport can effectively reduce carbon emissions and the associated costs.


#### 5.4.2. Dry Port Construction

Tables8 and 9 show the scale grade, construction quantity, location layout, and hinterland distribution of the dry port under the multimodal transport mode of dry port transshipment. Under the RD-RL-RD mode, seven dry ports need to be built in Northeast China, including two fourth-level dry ports: Shenyang and Changchun, with a utilization rate of 100%; one third-level dry port: Harbin, with a utilization rate of 100%; one second-level dry port: Yanbian Korean Autonomous Prefecture, with a utilization rate of 54.17%; and three first-level dry ports: Chaoyang, Liaoyuan, and Hulunbuir, with an average utilization rate of 83.30%, all of which carry 79.88% of the container transshipment volume. Under the RD-RL mode with the optimal total transportation cost, the utilization rate of the four-level dry ports is 100% in Shenyang and Changchun, 100% in Harbin, 73.33% in Siping and Yanbian Korean Autonomous Prefecture, and 74.95% in Chaoyang and Hulunbuir. In this case, the dry ports carry 82.76% of the container transshipment volume. If the railway can reach the seaport directly, the proportion of the containers transshipped through the dry port in Shenyang will increase by 13.39%. The newly built second-level dry port Siping will replace Liaoyuan, the first-level dry port transshipping all the local containers and sharing part of the containers transshipped through Shenyang dry port in RD-RL-RD mode. This shows that the “last kilometer” problem has a great impact on the distribution of cargo demand, and to a certain extent, it also affects the location and layout of the dry port.Table 8
Score and grade limit of dry port construction capacity of each city.
CityScoreMaximum level of dry portShenyang2.514Harbin2.114Changchun1.844Jilin0.373Daqing0.363Anshan0.173Mudanjiang0.113Chifeng0.023Qiqihar−0.022Benxi−0.042Hulunbuir−0.072Songyuan−0.112Tonghua−0.112Yanbian−0.142Jiamusi−0.142Tongliao−0.162Chaoyang−0.192Siping−0.222Suihua−0.222Xilin Gol League−0.222Fuxin−0.281Baicheng−0.291Liaoyang−0.331Liaoyuan−0.331Jixi−0.351Fushun−0.361Baishan−0.381Tieling−0.381Heihe−0.411Xing’an League−0.421Shuangyashan−0.431Hegang−0.441Daxinganling−0.471Qitaihe−0.471Yichun−0.501Table 9
Cost changes under the different transportation modes (unit: USD).
Cost typeRD modeRD-RL-RD mode (container cannot be split)RD-RL-RD modeRD-RL modeC1,202,232,613.78987,667,488.93974,822,985.02941,684,421.50Crd1,070,569,856.88 (89.048%)317,694,704.07 (32.166%)145,297,084.94 (14.905%)125,104,018.01 (13.285%)Crdt1,581,666.09 (0.132%)434,051.05 (0.044%)198,740.18 (0.020%)171,304.69 (0.018%)Crdc130,081,090.81 (10.82%)34,035,122.82 (3.446%)14,337,233.56 (1.471%)12,040,588.60 (1.279%)∑i∈I∑j∈JCijrd—194,490,393.74 (19.692%)259,444,699.67 (26.615%)263,679,554.78 (28.001%)∑i∈I∑j∈JCijrdt—122,188.21 (0.012%)140,500.30 (0.014%)135,410.69 (0.014%)∑i∈I∑j∈JCijrdt—10,451,861.70 (1.058%)12,083,217.50 (1.240%)11,669,116.14 (1.239%)∑i∈I∑j∈J∑m∈MCijrl—340,994,766.19 (34.525%)418,724,637.15 (42.954%)435,727,797.95 (46.271%)∑i∈I∑j∈J∑m∈MCijrlt—1,091,091.95 (0.111%)1,344,020.64 (0.138%)1,401,783.50 (0.149%)∑i∈I∑j∈J∑m∈MCijrlc—3,484,266.52 (0.353%)4,250,156.61 (0.436%)4,425,452.51 (0.47%)∑i∈I∑j∈JCkkrd—24,326,913.11 (2.463%)34,912,549.78 (3.581%)—∑i∈I∑j∈JCkkrdt—7,636.87 (0.001%)10,959.99 (0.001%)—∑i∈I∑j∈JCkkrdc—75,681.03 (0.008%)108,612.94 (0.011%)—Cc+Co—60,458,811.66 (6.121%)83,970,571.75 (8.614%)87,329,394.62 (9.274%)The locations of the dry ports and the spatial layout of the hinterland in the RD-RL-RD and RD-RL modes are shown in Figures2 and 3. In the two transportation modes, the hinterland scope of the dry port is basically the same, and the location layout of the dry port is relatively decentralized and balanced, covering more than 85% of the inland cities in Northeast China. The hinterland cities of the dry ports are all located away from the harbor, except for the city itself. This indicates that there is no circuitous transportation away from the seaport when containers are transferred through the dry port. The competition between some dry ports is fierce, in the RD-RL-RD mode. Mudanjiang city is the competitive hinterland of Yanbian dry port and Harbin dry port; Changchun City is the competitive hinterland of Changchun dry port and Liaoyuan dry port; and Siping City is the competitive hinterland of Shenyang dry port and Liaoyuan dry port. In the RD-RL-RD mode, Changchun City is the competitive hinterland of Changchun dry port and Siping dry port Tables 10–12.Figure 2
Hinterland area of the dry port under the road-rail-road mode.Figure 3
Hinterland area of the dry port under the road-rail mode.Table 10
Cost of the different transportation modes and their proportion in total cost (unit: USD).
RD modeRD-RL-RD mode (container cannot be split)RD-RL-RD modeRD-RL modeEconomic cost1,070,569,856.88 (89.048%)877,506,777.12 (88.846%)858,378,971.54 (88.055%)824,511,370.74 (84.581%)Time cost1,581,666.09 (0.132%)1,654,968.08 (0.168%)1,694,221.12 (0.174%)1,708,498.89 (0.175%)Carbon emission cost130,081,090.81 (10.82%)48,046,932.06 (4.865%)30,779,220.61 (3.157%)28,135,157.24 (2.886%)Construction and operation cost of dry port—60,458,811.66 (6.121%)83,970,571.75 (8.614%)87,329,394.62 (8.958%)Table 11
Construction of the dry port under the RD-RL-RD mode.
Serial numberCity nameLevel of dry portTransshipment volume (TEU)Number of hinterland citiesHinterland cities and transshipment volume (TEU)1Shenyang4400,0007Shenyang (317,186), Fushun (31,920), Tieling (8,408), Siping (8,982), Tongliao (17,664), Baicheng (15,547), and Xing’an (293)2Chaoyang142,0082Chaoyang (30,800) and Xilin Gol (11,208)3Liaoyuan150,0003Liaoyuan (7,254), Siping (781), and Changchun (41,965)4Changchun4400,0003Changchun (353,986), Jilin (36,360), and Songyuan (9,654)5Harbin3200,00013Harbin (45,141), Suihua (12,569), Daqing (81,033), Qiqihar (5,300), Jiamusi (8,178), Mudanjiang (33,607), Yichun (2,860), Qitaihe (290), Jixi (2,740), Hegang (467), Shuangyashan (2,344), Heihe (5241), and Daxinganling (230)6Yanbian254,1672Yanbian (49,019) and Mudanjiang (5,148)7Hulun Buir132,9441Hulun Buir (32,944)Table 12
Construction of the dry port under the road-rail mode.
Serial numberCity nameLevel of dry portTransshipment volume (TEU)Number of hinterland citiesHinterland cities and transshipment volume (TEU)1Shenyang4400,0003Shenyang (359,672), Fushun (31,920), and Tieling (8,408)2Chaoyang142,0082Chaoyang (30,800) and Xilin Gol (11,208)3Siping292,4866Liaoyuan (7,254), Siping (9,763), Tongliao (17,664), Changchun (41,965), Baicheng (15,547), and Xing’an (293)4Changchun4400,0003Changchun (353,986), Jilin (36,360), and Songyuan (9,654)5Harbin3200,00013Harbin (45,141), Suihua (12,569), Daqing (81,033), Qiqihar (5,300), Jiamusi (8,178), Mudanjiang (33,607), Yichun (2,860), Qitaihe (290), Jixi (2,740), Hegang (467), Shuangyashan (2,344), Heihe (5,241), and Daxinganling (230)6Yanbian254,1672Yanbian (49,019) and Mudanjiang (5,148)7Hulun Buir132,9441Hulun Buir (32,944)


## 5.1. Research Scope

There are 41 prefecture-level cities in Northeast China, including six coastal port cities. The container transportation modes of these cities are more diverse than those of inland cities. They are not included in the scope of this study. Therefore, the scope of shippers and alternative dry port cities in this study covers 35 prefecture-level cities in the inland of Northeast China (Table3), and the destination port is Dalian Port.Table 3
Thirty-five cities in Northeast China.
Research scopeCity nameHeilongjiang provinceHarbin, Qiqihar, Jixi, Hegang, Shuangyashan, Daqing, Yichun, Jiamusi, Qitaihe, Mudanjiang, Heihe, Suihua and DaxinganlingJilin provinceChangchun, Jilin, Siping, Liaoyuan, Tonghua, Baishan, Songyuan, Baicheng, and YanbianLiaoning provinceShenyang, Anshan, Fushun, Benxi, Fuxin, Liaoyang, Tieling, and ChaoyangInner mongolia autonomous regionChifeng, Tongliao, Hulunbuir, Xing’an league, and Xilin Gol League


## 5.2. Data Sources and Processing

The core of the joint optimization problem of dry port with multilevel location and container transportation is to determine the number, location, and grade of land ports, so as to achieve the goal of reducing inland container transportation cost. The total transportation cost is selected as the objective function. The basis of joint optimization is to determine the cost of road and rail transportation. The demand and spatial distribution of container freight also have an important influence on joint optimization. In addition, cities with developed economy and convenient transportation should be chosen for the construction of dry ports. On one hand, it is conducive to the support of goods and human resources; on the other hand, it can facilitate the distribution of goods and enhance the attraction of goods by dry port. Therefore, this study collects data regarding the container transportation volume of each city, the road distance and railway distance between cities, and according to the existing research, the average speed of road and rail transportation, and other related parameters are set.


### 5.2.1. Mileage Data

The railway distance and the highway distance (Table4) were taken from the “Train ticket network” and the “Gaode map,” respectively (the data for “Train ticket network” is updated up to 2020).


### 5.2.2. Foreign Trade Container Weights

From custom data statistics, this study obtained the volume of the foreign trade containers of 35 cities (Table4) in Northeast China in 2017.


### 5.2.3. Transportation Cost-Related Data

Reflecting the actual situation in Northeast China, this study sets the average speed of highway operation as 70 km/h, and the average speed of railway operation as 100 km/h. The relevant charging standards of rail transport (Table5) come from the railway freight tariff rules of the Ministry of Railways of the People’s Republic of China and the notice of the National Development and Reform Commission on issues related to the adjustment of railway freight tariffs (2014).The relevant fee standard for road transport is regressed from the cost data of 83 road containers (20-ft. containers) transported by 29 freight forwarders in China (Table6) [36]. The price function of the container road transport is(12)fLR=1204.31,LR≤50,0.0007LR2+5.7532LR+914.9,LR>50.Among them,LRis the road transport distance.Regarding the economic cost of road transport from the railway station to the port in the seaport city when the seaport city lacks railway facilities that are directly connected to the port, the container goods must be transported to the port through the container truck. Generally, the distance between the railway station of the port city and the port is short, and it is easy to distribute goods back and forth; this is classified as short-haul transportation. Through investigation, it is concluded that the price (W) of short-distance transshipment of containers in the seaport city is 29.61 USD/TEU.


### 5.2.4. Time Cost-Related Data

According to the average value of export containers in Dalian port,V = 29,609.01 USD/TEU; the interest rate is the current deposit interest rate in 2020; and R = 0.35%.


### 5.2.5. Carbon Cost Data

According to Li and Su [37], carbon emissions from road transport are quantified as 0.796 kg/(ton· km); that from rail transport, 0.028 kg/(ton· km); and that from rail transit, 1.56 kg/ton. According to the standard of the Ministry of Environmental Protection, the carbon tax is set at 7.40 USD/ton. According to the ISO Standard for Container, the weight of the 20-foot container is 24 tons.


### 5.2.6. Calculation Parameters of Land Port Construction Cost

In this study, the capital discount rate is 8%, and the capital recovery period for dry port construction cost is 15 years.


### 5.2.7. Relevant Data of Dry Port Grade

Referring to the relevant literature [38] and the investment and operation of similar dry ports in China, this study estimates the construction level and annual operation cost of the dry port, recommended scale range, general storage waiting time, and the discount coefficient of the scale effect and divides the dry port into four levels. The scale of the first-level dry port is the smallest, and the scale of the fourth-level dry port is the largest. The specific divisions are listed in Table 7.Table 4
Foreign trade container volume and related mileage data of cities.
Foreign trade container weight in 2017/TEURoad distance to Dalian port/kmRailway distance to Dalian station/kmAnshan54799302.2308Liaoyang25145332.3333Shenyang467953382.1397Fushun31920445.9444Benxi20486381.2457Tieling8408452.7467Chaoyang30800481.3473Fuxin6793408.4535Liaoyuan7254611.0559Siping9763582.4585Tongliao17664633.8634Changchun395951680.8700Jilin36360782.7821Baishan14326637.3833Songyuan9654812.5849Tonghua3960557.4870Baicheng15547902.5938Harbin45141948.6946Chifeng20761633.5968Suihua125691051.91071Yanbian Korean autonomous prefecture490191016.71073Xing’an league293963.51116Daqing81033985.31120Qiqihar53001138.31156Jiamusi81781289.91271Mudanjiang387551055.41315Yichun28601262.51387Qitaihe29012831460Jixi274012231509Xilinguole league112081026.11513Hegang46713541521Shuangyashan23441358.11544Heihe52411510.11582Daxinganling2301699.11587Hulunbeir329441474.61663


## 5.2.1. Mileage Data

The railway distance and the highway distance (Table4) were taken from the “Train ticket network” and the “Gaode map,” respectively (the data for “Train ticket network” is updated up to 2020).


## 5.2.2. Foreign Trade Container Weights

From custom data statistics, this study obtained the volume of the foreign trade containers of 35 cities (Table4) in Northeast China in 2017.


## 5.2.3. Transportation Cost-Related Data

Reflecting the actual situation in Northeast China, this study sets the average speed of highway operation as 70 km/h, and the average speed of railway operation as 100 km/h. The relevant charging standards of rail transport (Table5) come from the railway freight tariff rules of the Ministry of Railways of the People’s Republic of China and the notice of the National Development and Reform Commission on issues related to the adjustment of railway freight tariffs (2014).The relevant fee standard for road transport is regressed from the cost data of 83 road containers (20-ft. containers) transported by 29 freight forwarders in China (Table6) [36]. The price function of the container road transport is(12)fLR=1204.31,LR≤50,0.0007LR2+5.7532LR+914.9,LR>50.Among them,LRis the road transport distance.Regarding the economic cost of road transport from the railway station to the port in the seaport city when the seaport city lacks railway facilities that are directly connected to the port, the container goods must be transported to the port through the container truck. Generally, the distance between the railway station of the port city and the port is short, and it is easy to distribute goods back and forth; this is classified as short-haul transportation. Through investigation, it is concluded that the price (W) of short-distance transshipment of containers in the seaport city is 29.61 USD/TEU.


## 5.2.4. Time Cost-Related Data

According to the average value of export containers in Dalian port,V = 29,609.01 USD/TEU; the interest rate is the current deposit interest rate in 2020; and R = 0.35%.


## 5.2.5. Carbon Cost Data

According to Li and Su [37], carbon emissions from road transport are quantified as 0.796 kg/(ton· km); that from rail transport, 0.028 kg/(ton· km); and that from rail transit, 1.56 kg/ton. According to the standard of the Ministry of Environmental Protection, the carbon tax is set at 7.40 USD/ton. According to the ISO Standard for Container, the weight of the 20-foot container is 24 tons.


## 5.2.6. Calculation Parameters of Land Port Construction Cost

In this study, the capital discount rate is 8%, and the capital recovery period for dry port construction cost is 15 years.


## 5.2.7. Relevant Data of Dry Port Grade

Referring to the relevant literature [38] and the investment and operation of similar dry ports in China, this study estimates the construction level and annual operation cost of the dry port, recommended scale range, general storage waiting time, and the discount coefficient of the scale effect and divides the dry port into four levels. The scale of the first-level dry port is the smallest, and the scale of the fourth-level dry port is the largest. The specific divisions are listed in Table 7.Table 4
Foreign trade container volume and related mileage data of cities.
Foreign trade container weight in 2017/TEURoad distance to Dalian port/kmRailway distance to Dalian station/kmAnshan54799302.2308Liaoyang25145332.3333Shenyang467953382.1397Fushun31920445.9444Benxi20486381.2457Tieling8408452.7467Chaoyang30800481.3473Fuxin6793408.4535Liaoyuan7254611.0559Siping9763582.4585Tongliao17664633.8634Changchun395951680.8700Jilin36360782.7821Baishan14326637.3833Songyuan9654812.5849Tonghua3960557.4870Baicheng15547902.5938Harbin45141948.6946Chifeng20761633.5968Suihua125691051.91071Yanbian Korean autonomous prefecture490191016.71073Xing’an league293963.51116Daqing81033985.31120Qiqihar53001138.31156Jiamusi81781289.91271Mudanjiang387551055.41315Yichun28601262.51387Qitaihe29012831460Jixi274012231509Xilinguole league112081026.11513Hegang46713541521Shuangyashan23441358.11544Heihe52411510.11582Daxinganling2301699.11587Hulunbeir329441474.61663


## 5.3. The Capacity of Cities to Build Dry Ports

The construction of a dry port is closely related to the city’s economic development level, investment capacity, foreign trade development level, transportation conditions, and railway infrastructure conditions. Therefore, this study selects nine indicators related to the construction and development of dry ports: GDP, actual foreign investment, total retail sales of social consumer goods, local government revenue, investment in fixed assets, total post and telecommunications business, foreign trade import, foreign trade export, and the score of railway station grade (the data corresponding to the index is from the city statistical bulletin in 2018). The factor analysis method is used to evaluate 35 inland cities in Northeast China, and the highest dry port grade that each city can build is obtained. Using SPSS for dimension reduction factor analysis, the result of the KMO test is 0.868, and the probability of Bartlett’s sphericity test statistical value is less than0.001P≤0.001, which shows that the selected variables have high correlation and are suitable for factor analysis. In accordance with the principle of eigenvalues greater than 1, two common factors are extracted by principal component analysis, and the cumulative contribution rate of the principal component is 87.457%. Table 8 shows the scores and grade limits of the construction capacity of the dry ports in each city.Table 5
Railway transport related charging standards.
Pay serviceCharge standard (20-foot box)Charging basisBase price of railway delivery (P1)65.14 USD/TEUChina railway Corporation: Notice on the adjustment of railway container freight rate (2018)Base price of railway operation (P2)0.47 USD (TEU·km)Container usage fee (P3)If it is less than 500 km, it’s 19.25 USD/TEU; if it is less than 2000 km, it in 1.92 USD per 100 kmNotice on adjusting container usage fee and freight tarpaulin usage fee (tyy (2008) No. 144)Container cleaning fee (P4)0.74 USD/TEUNotice on adjusting the rates of some passenger and freight miscellaneous charges and announcing the rates of railway coal dust suppression transportation and items (T. Y. (2009) No. 224)Container handling charge (P5)28.87 USD/TEUArticle 16 of the notice of the Ministry of railways on revising and re promulgating the charging method for railway cargo handling operationsUnloading fee of container in yard (P6)26.65 USD/TEU


## 5.4. Model Solution Results

In this study, we use the AMPL software, select the optimizer Gurobi 9.0.2 to solve the model, and obtain the cost of different transportation modes and the construction scale level, quantity, and hinterland range of the dry port. Moreover, this study analyzes the model results from two aspects: transportation cost change and the dry port construction scheme.


### 5.4.1. Changes in Transportation Costs

From the perspective of total cost, the total cost of direct transportation of containers by road is the highest, at about 1,202.23 million USD, and the total cost of the RD-RL mode is the lowest, at approximately 941.68 million USD (Table9). Compared with the RD mode, the total costs of the RD–RD-RL mode (container cannot be split), RD-RL–RD mode, and RD-RL mode are lower by 17.85%, 18.92%, and 21.67%, respectively. The results reveal that the container multimodal transport mode of dry port transshipment can effectively reduce the total transportation cost. The RD-RL mode is the best transport mode with the optimal total transport cost. This indicates that whether the railway can reach the seaport directly has a significant impact on reducing the cost of container transportation.Table 6
Quadratic function regression results of road transportation economic cost.
Dependent variable:YMethod: least squaresDate: 01/26/21 time: 16 : 19Sample: 1 83Included observations: 83Y = C(1)∗X^2 + C(2)∗X + C(3)CoefficientStd. Errort-statisticProb.C(1)0.0007330.0001325.5429240C(2)5.7531840.43066413.358880C(3)914.8968175.73495.2061180R-squared0.960057Mean dependent var4063.855Adjusted R-squared0.959059S.D. dependent var4921.867S.E. of regression995.8865Akaike info criterion16.68062Sum squared resid79343192Schwarz criterion16.76805Log likelihood-689.2457Hannan-Quinn criter.16.71574F-statistic961.4377Durbin-Watson stat1.765773Prob (F-statistic)0Regarding transportation economic cost, the proportion of economic cost under different transportation modes in the total transportation cost can reach more than 88%, and the economic cost of the RD mode is the highest. Compared with the RD mode, the economic costs of the RD-RL-RD (container cannot be split), RD-RL-RD, and RD-RL modes are lower by 18.03%, 19.82%, and 22.98%, respectively.In terms of time cost, the impact of the time cost of the different transportation modes on the total transportation cost is almost negligible (Table10). The time cost of the RD mode is the lowest. Compared with the RD mode, the time cost of the RD-RL-RD (container cannot be split), RD-RL-RD, and RD-RL modes are higher by 4.63%, 7.12%, and 8.02%, respectively. This indicates that the direct road transportation mode has greater competitive advantage in terms of transportation time.Table 7
Classification of dry port scale.
Level of dry portConstruction cost (million USD)Operating cost (million USD)Designed carrying capacity (10,000 TEU)Storage waiting time (day)Discount coefficient of the scale effect119.251.11521238.492.22101.80.9376.984.44201.50.84153.978.884010.7With regard to carbon emission cost, the carbon emission cost of the RD mode accounts for 10.82% of the total cost, while that of the multimodal transportation mode accounts for less than 5%. Compared with the RD mode, the carbon emission costs of the RD-RL-RD (container cannot be split), RD-RL-RD, and RD-RL modes are lower by 63.06%, 76.34%, and 78.37%, respectively. This indicates that multimodal transport can effectively reduce carbon emissions and the associated costs.


### 5.4.2. Dry Port Construction

Tables8 and 9 show the scale grade, construction quantity, location layout, and hinterland distribution of the dry port under the multimodal transport mode of dry port transshipment. Under the RD-RL-RD mode, seven dry ports need to be built in Northeast China, including two fourth-level dry ports: Shenyang and Changchun, with a utilization rate of 100%; one third-level dry port: Harbin, with a utilization rate of 100%; one second-level dry port: Yanbian Korean Autonomous Prefecture, with a utilization rate of 54.17%; and three first-level dry ports: Chaoyang, Liaoyuan, and Hulunbuir, with an average utilization rate of 83.30%, all of which carry 79.88% of the container transshipment volume. Under the RD-RL mode with the optimal total transportation cost, the utilization rate of the four-level dry ports is 100% in Shenyang and Changchun, 100% in Harbin, 73.33% in Siping and Yanbian Korean Autonomous Prefecture, and 74.95% in Chaoyang and Hulunbuir. In this case, the dry ports carry 82.76% of the container transshipment volume. If the railway can reach the seaport directly, the proportion of the containers transshipped through the dry port in Shenyang will increase by 13.39%. The newly built second-level dry port Siping will replace Liaoyuan, the first-level dry port transshipping all the local containers and sharing part of the containers transshipped through Shenyang dry port in RD-RL-RD mode. This shows that the “last kilometer” problem has a great impact on the distribution of cargo demand, and to a certain extent, it also affects the location and layout of the dry port.Table 8
Score and grade limit of dry port construction capacity of each city.
CityScoreMaximum level of dry portShenyang2.514Harbin2.114Changchun1.844Jilin0.373Daqing0.363Anshan0.173Mudanjiang0.113Chifeng0.023Qiqihar−0.022Benxi−0.042Hulunbuir−0.072Songyuan−0.112Tonghua−0.112Yanbian−0.142Jiamusi−0.142Tongliao−0.162Chaoyang−0.192Siping−0.222Suihua−0.222Xilin Gol League−0.222Fuxin−0.281Baicheng−0.291Liaoyang−0.331Liaoyuan−0.331Jixi−0.351Fushun−0.361Baishan−0.381Tieling−0.381Heihe−0.411Xing’an League−0.421Shuangyashan−0.431Hegang−0.441Daxinganling−0.471Qitaihe−0.471Yichun−0.501Table 9
Cost changes under the different transportation modes (unit: USD).
Cost typeRD modeRD-RL-RD mode (container cannot be split)RD-RL-RD modeRD-RL modeC1,202,232,613.78987,667,488.93974,822,985.02941,684,421.50Crd1,070,569,856.88 (89.048%)317,694,704.07 (32.166%)145,297,084.94 (14.905%)125,104,018.01 (13.285%)Crdt1,581,666.09 (0.132%)434,051.05 (0.044%)198,740.18 (0.020%)171,304.69 (0.018%)Crdc130,081,090.81 (10.82%)34,035,122.82 (3.446%)14,337,233.56 (1.471%)12,040,588.60 (1.279%)∑i∈I∑j∈JCijrd—194,490,393.74 (19.692%)259,444,699.67 (26.615%)263,679,554.78 (28.001%)∑i∈I∑j∈JCijrdt—122,188.21 (0.012%)140,500.30 (0.014%)135,410.69 (0.014%)∑i∈I∑j∈JCijrdt—10,451,861.70 (1.058%)12,083,217.50 (1.240%)11,669,116.14 (1.239%)∑i∈I∑j∈J∑m∈MCijrl—340,994,766.19 (34.525%)418,724,637.15 (42.954%)435,727,797.95 (46.271%)∑i∈I∑j∈J∑m∈MCijrlt—1,091,091.95 (0.111%)1,344,020.64 (0.138%)1,401,783.50 (0.149%)∑i∈I∑j∈J∑m∈MCijrlc—3,484,266.52 (0.353%)4,250,156.61 (0.436%)4,425,452.51 (0.47%)∑i∈I∑j∈JCkkrd—24,326,913.11 (2.463%)34,912,549.78 (3.581%)—∑i∈I∑j∈JCkkrdt—7,636.87 (0.001%)10,959.99 (0.001%)—∑i∈I∑j∈JCkkrdc—75,681.03 (0.008%)108,612.94 (0.011%)—Cc+Co—60,458,811.66 (6.121%)83,970,571.75 (8.614%)87,329,394.62 (9.274%)The locations of the dry ports and the spatial layout of the hinterland in the RD-RL-RD and RD-RL modes are shown in Figures2 and 3. In the two transportation modes, the hinterland scope of the dry port is basically the same, and the location layout of the dry port is relatively decentralized and balanced, covering more than 85% of the inland cities in Northeast China. The hinterland cities of the dry ports are all located away from the harbor, except for the city itself. This indicates that there is no circuitous transportation away from the seaport when containers are transferred through the dry port. The competition between some dry ports is fierce, in the RD-RL-RD mode. Mudanjiang city is the competitive hinterland of Yanbian dry port and Harbin dry port; Changchun City is the competitive hinterland of Changchun dry port and Liaoyuan dry port; and Siping City is the competitive hinterland of Shenyang dry port and Liaoyuan dry port. In the RD-RL-RD mode, Changchun City is the competitive hinterland of Changchun dry port and Siping dry port Tables 10–12.Figure 2
Hinterland area of the dry port under the road-rail-road mode.Figure 3
Hinterland area of the dry port under the road-rail mode.Table 10
Cost of the different transportation modes and their proportion in total cost (unit: USD).
RD modeRD-RL-RD mode (container cannot be split)RD-RL-RD modeRD-RL modeEconomic cost1,070,569,856.88 (89.048%)877,506,777.12 (88.846%)858,378,971.54 (88.055%)824,511,370.74 (84.581%)Time cost1,581,666.09 (0.132%)1,654,968.08 (0.168%)1,694,221.12 (0.174%)1,708,498.89 (0.175%)Carbon emission cost130,081,090.81 (10.82%)48,046,932.06 (4.865%)30,779,220.61 (3.157%)28,135,157.24 (2.886%)Construction and operation cost of dry port—60,458,811.66 (6.121%)83,970,571.75 (8.614%)87,329,394.62 (8.958%)Table 11
Construction of the dry port under the RD-RL-RD mode.
Serial numberCity nameLevel of dry portTransshipment volume (TEU)Number of hinterland citiesHinterland cities and transshipment volume (TEU)1Shenyang4400,0007Shenyang (317,186), Fushun (31,920), Tieling (8,408), Siping (8,982), Tongliao (17,664), Baicheng (15,547), and Xing’an (293)2Chaoyang142,0082Chaoyang (30,800) and Xilin Gol (11,208)3Liaoyuan150,0003Liaoyuan (7,254), Siping (781), and Changchun (41,965)4Changchun4400,0003Changchun (353,986), Jilin (36,360), and Songyuan (9,654)5Harbin3200,00013Harbin (45,141), Suihua (12,569), Daqing (81,033), Qiqihar (5,300), Jiamusi (8,178), Mudanjiang (33,607), Yichun (2,860), Qitaihe (290), Jixi (2,740), Hegang (467), Shuangyashan (2,344), Heihe (5241), and Daxinganling (230)6Yanbian254,1672Yanbian (49,019) and Mudanjiang (5,148)7Hulun Buir132,9441Hulun Buir (32,944)Table 12
Construction of the dry port under the road-rail mode.
Serial numberCity nameLevel of dry portTransshipment volume (TEU)Number of hinterland citiesHinterland cities and transshipment volume (TEU)1Shenyang4400,0003Shenyang (359,672), Fushun (31,920), and Tieling (8,408)2Chaoyang142,0082Chaoyang (30,800) and Xilin Gol (11,208)3Siping292,4866Liaoyuan (7,254), Siping (9,763), Tongliao (17,664), Changchun (41,965), Baicheng (15,547), and Xing’an (293)4Changchun4400,0003Changchun (353,986), Jilin (36,360), and Songyuan (9,654)5Harbin3200,00013Harbin (45,141), Suihua (12,569), Daqing (81,033), Qiqihar (5,300), Jiamusi (8,178), Mudanjiang (33,607), Yichun (2,860), Qitaihe (290), Jixi (2,740), Hegang (467), Shuangyashan (2,344), Heihe (5,241), and Daxinganling (230)6Yanbian254,1672Yanbian (49,019) and Mudanjiang (5,148)7Hulun Buir132,9441Hulun Buir (32,944)


## 5.4.1. Changes in Transportation Costs

From the perspective of total cost, the total cost of direct transportation of containers by road is the highest, at about 1,202.23 million USD, and the total cost of the RD-RL mode is the lowest, at approximately 941.68 million USD (Table9). Compared with the RD mode, the total costs of the RD–RD-RL mode (container cannot be split), RD-RL–RD mode, and RD-RL mode are lower by 17.85%, 18.92%, and 21.67%, respectively. The results reveal that the container multimodal transport mode of dry port transshipment can effectively reduce the total transportation cost. The RD-RL mode is the best transport mode with the optimal total transport cost. This indicates that whether the railway can reach the seaport directly has a significant impact on reducing the cost of container transportation.Table 6
Quadratic function regression results of road transportation economic cost.
Dependent variable:YMethod: least squaresDate: 01/26/21 time: 16 : 19Sample: 1 83Included observations: 83Y = C(1)∗X^2 + C(2)∗X + C(3)CoefficientStd. Errort-statisticProb.C(1)0.0007330.0001325.5429240C(2)5.7531840.43066413.358880C(3)914.8968175.73495.2061180R-squared0.960057Mean dependent var4063.855Adjusted R-squared0.959059S.D. dependent var4921.867S.E. of regression995.8865Akaike info criterion16.68062Sum squared resid79343192Schwarz criterion16.76805Log likelihood-689.2457Hannan-Quinn criter.16.71574F-statistic961.4377Durbin-Watson stat1.765773Prob (F-statistic)0Regarding transportation economic cost, the proportion of economic cost under different transportation modes in the total transportation cost can reach more than 88%, and the economic cost of the RD mode is the highest. Compared with the RD mode, the economic costs of the RD-RL-RD (container cannot be split), RD-RL-RD, and RD-RL modes are lower by 18.03%, 19.82%, and 22.98%, respectively.In terms of time cost, the impact of the time cost of the different transportation modes on the total transportation cost is almost negligible (Table10). The time cost of the RD mode is the lowest. Compared with the RD mode, the time cost of the RD-RL-RD (container cannot be split), RD-RL-RD, and RD-RL modes are higher by 4.63%, 7.12%, and 8.02%, respectively. This indicates that the direct road transportation mode has greater competitive advantage in terms of transportation time.Table 7
Classification of dry port scale.
Level of dry portConstruction cost (million USD)Operating cost (million USD)Designed carrying capacity (10,000 TEU)Storage waiting time (day)Discount coefficient of the scale effect119.251.11521238.492.22101.80.9376.984.44201.50.84153.978.884010.7With regard to carbon emission cost, the carbon emission cost of the RD mode accounts for 10.82% of the total cost, while that of the multimodal transportation mode accounts for less than 5%. Compared with the RD mode, the carbon emission costs of the RD-RL-RD (container cannot be split), RD-RL-RD, and RD-RL modes are lower by 63.06%, 76.34%, and 78.37%, respectively. This indicates that multimodal transport can effectively reduce carbon emissions and the associated costs.


## 5.4.2. Dry Port Construction

Tables8 and 9 show the scale grade, construction quantity, location layout, and hinterland distribution of the dry port under the multimodal transport mode of dry port transshipment. Under the RD-RL-RD mode, seven dry ports need to be built in Northeast China, including two fourth-level dry ports: Shenyang and Changchun, with a utilization rate of 100%; one third-level dry port: Harbin, with a utilization rate of 100%; one second-level dry port: Yanbian Korean Autonomous Prefecture, with a utilization rate of 54.17%; and three first-level dry ports: Chaoyang, Liaoyuan, and Hulunbuir, with an average utilization rate of 83.30%, all of which carry 79.88% of the container transshipment volume. Under the RD-RL mode with the optimal total transportation cost, the utilization rate of the four-level dry ports is 100% in Shenyang and Changchun, 100% in Harbin, 73.33% in Siping and Yanbian Korean Autonomous Prefecture, and 74.95% in Chaoyang and Hulunbuir. In this case, the dry ports carry 82.76% of the container transshipment volume. If the railway can reach the seaport directly, the proportion of the containers transshipped through the dry port in Shenyang will increase by 13.39%. The newly built second-level dry port Siping will replace Liaoyuan, the first-level dry port transshipping all the local containers and sharing part of the containers transshipped through Shenyang dry port in RD-RL-RD mode. This shows that the “last kilometer” problem has a great impact on the distribution of cargo demand, and to a certain extent, it also affects the location and layout of the dry port.Table 8
Score and grade limit of dry port construction capacity of each city.
CityScoreMaximum level of dry portShenyang2.514Harbin2.114Changchun1.844Jilin0.373Daqing0.363Anshan0.173Mudanjiang0.113Chifeng0.023Qiqihar−0.022Benxi−0.042Hulunbuir−0.072Songyuan−0.112Tonghua−0.112Yanbian−0.142Jiamusi−0.142Tongliao−0.162Chaoyang−0.192Siping−0.222Suihua−0.222Xilin Gol League−0.222Fuxin−0.281Baicheng−0.291Liaoyang−0.331Liaoyuan−0.331Jixi−0.351Fushun−0.361Baishan−0.381Tieling−0.381Heihe−0.411Xing’an League−0.421Shuangyashan−0.431Hegang−0.441Daxinganling−0.471Qitaihe−0.471Yichun−0.501Table 9
Cost changes under the different transportation modes (unit: USD).
Cost typeRD modeRD-RL-RD mode (container cannot be split)RD-RL-RD modeRD-RL modeC1,202,232,613.78987,667,488.93974,822,985.02941,684,421.50Crd1,070,569,856.88 (89.048%)317,694,704.07 (32.166%)145,297,084.94 (14.905%)125,104,018.01 (13.285%)Crdt1,581,666.09 (0.132%)434,051.05 (0.044%)198,740.18 (0.020%)171,304.69 (0.018%)Crdc130,081,090.81 (10.82%)34,035,122.82 (3.446%)14,337,233.56 (1.471%)12,040,588.60 (1.279%)∑i∈I∑j∈JCijrd—194,490,393.74 (19.692%)259,444,699.67 (26.615%)263,679,554.78 (28.001%)∑i∈I∑j∈JCijrdt—122,188.21 (0.012%)140,500.30 (0.014%)135,410.69 (0.014%)∑i∈I∑j∈JCijrdt—10,451,861.70 (1.058%)12,083,217.50 (1.240%)11,669,116.14 (1.239%)∑i∈I∑j∈J∑m∈MCijrl—340,994,766.19 (34.525%)418,724,637.15 (42.954%)435,727,797.95 (46.271%)∑i∈I∑j∈J∑m∈MCijrlt—1,091,091.95 (0.111%)1,344,020.64 (0.138%)1,401,783.50 (0.149%)∑i∈I∑j∈J∑m∈MCijrlc—3,484,266.52 (0.353%)4,250,156.61 (0.436%)4,425,452.51 (0.47%)∑i∈I∑j∈JCkkrd—24,326,913.11 (2.463%)34,912,549.78 (3.581%)—∑i∈I∑j∈JCkkrdt—7,636.87 (0.001%)10,959.99 (0.001%)—∑i∈I∑j∈JCkkrdc—75,681.03 (0.008%)108,612.94 (0.011%)—Cc+Co—60,458,811.66 (6.121%)83,970,571.75 (8.614%)87,329,394.62 (9.274%)The locations of the dry ports and the spatial layout of the hinterland in the RD-RL-RD and RD-RL modes are shown in Figures2 and 3. In the two transportation modes, the hinterland scope of the dry port is basically the same, and the location layout of the dry port is relatively decentralized and balanced, covering more than 85% of the inland cities in Northeast China. The hinterland cities of the dry ports are all located away from the harbor, except for the city itself. This indicates that there is no circuitous transportation away from the seaport when containers are transferred through the dry port. The competition between some dry ports is fierce, in the RD-RL-RD mode. Mudanjiang city is the competitive hinterland of Yanbian dry port and Harbin dry port; Changchun City is the competitive hinterland of Changchun dry port and Liaoyuan dry port; and Siping City is the competitive hinterland of Shenyang dry port and Liaoyuan dry port. In the RD-RL-RD mode, Changchun City is the competitive hinterland of Changchun dry port and Siping dry port Tables 10–12.Figure 2
Hinterland area of the dry port under the road-rail-road mode.Figure 3
Hinterland area of the dry port under the road-rail mode.Table 10
Cost of the different transportation modes and their proportion in total cost (unit: USD).
RD modeRD-RL-RD mode (container cannot be split)RD-RL-RD modeRD-RL modeEconomic cost1,070,569,856.88 (89.048%)877,506,777.12 (88.846%)858,378,971.54 (88.055%)824,511,370.74 (84.581%)Time cost1,581,666.09 (0.132%)1,654,968.08 (0.168%)1,694,221.12 (0.174%)1,708,498.89 (0.175%)Carbon emission cost130,081,090.81 (10.82%)48,046,932.06 (4.865%)30,779,220.61 (3.157%)28,135,157.24 (2.886%)Construction and operation cost of dry port—60,458,811.66 (6.121%)83,970,571.75 (8.614%)87,329,394.62 (8.958%)Table 11
Construction of the dry port under the RD-RL-RD mode.
Serial numberCity nameLevel of dry portTransshipment volume (TEU)Number of hinterland citiesHinterland cities and transshipment volume (TEU)1Shenyang4400,0007Shenyang (317,186), Fushun (31,920), Tieling (8,408), Siping (8,982), Tongliao (17,664), Baicheng (15,547), and Xing’an (293)2Chaoyang142,0082Chaoyang (30,800) and Xilin Gol (11,208)3Liaoyuan150,0003Liaoyuan (7,254), Siping (781), and Changchun (41,965)4Changchun4400,0003Changchun (353,986), Jilin (36,360), and Songyuan (9,654)5Harbin3200,00013Harbin (45,141), Suihua (12,569), Daqing (81,033), Qiqihar (5,300), Jiamusi (8,178), Mudanjiang (33,607), Yichun (2,860), Qitaihe (290), Jixi (2,740), Hegang (467), Shuangyashan (2,344), Heihe (5241), and Daxinganling (230)6Yanbian254,1672Yanbian (49,019) and Mudanjiang (5,148)7Hulun Buir132,9441Hulun Buir (32,944)Table 12
Construction of the dry port under the road-rail mode.
Serial numberCity nameLevel of dry portTransshipment volume (TEU)Number of hinterland citiesHinterland cities and transshipment volume (TEU)1Shenyang4400,0003Shenyang (359,672), Fushun (31,920), and Tieling (8,408)2Chaoyang142,0082Chaoyang (30,800) and Xilin Gol (11,208)3Siping292,4866Liaoyuan (7,254), Siping (9,763), Tongliao (17,664), Changchun (41,965), Baicheng (15,547), and Xing’an (293)4Changchun4400,0003Changchun (353,986), Jilin (36,360), and Songyuan (9,654)5Harbin3200,00013Harbin (45,141), Suihua (12,569), Daqing (81,033), Qiqihar (5,300), Jiamusi (8,178), Mudanjiang (33,607), Yichun (2,860), Qitaihe (290), Jixi (2,740), Hegang (467), Shuangyashan (2,344), Heihe (5,241), and Daxinganling (230)6Yanbian254,1672Yanbian (49,019) and Mudanjiang (5,148)7Hulun Buir132,9441Hulun Buir (32,944)


## 6. Conclusion and Discussion

This study uses a technical economic method to calculate the construction cost of a dry port by year and takes the operation and time costs of the dry port into the comprehensive cost. Considering the scale effect of railway transportation, the capacity level of the dry port and the conditions of urban construction of the dry port, this study constructs a multicapacity-level model for the location of the dry port. From an empirical analysis of the situation in Northeast China using the AMPL software solution, the following conclusions are made.(1)
In the context of rapid economic development and stabilization of transport demand, dry port services can effectively reduce transport costs and carbon emission costs, lower the total cost, realize economies of scale in transport, and promote the transformation of the RD mode to a cleaner mode of transport.(2)
The RD-RL mode is the optimal method of container transportation. In this case, seven dry ports need to be built in Northeast China—two fourth-grade dry ports: in Shenyang and Changchun, with a utilization rate of 100%; one third-grade dry port: in Harbin, with a utilization rate of 100%; two second-grade dry ports: in Siping and Yanbian, with an average utilization rate of 73.33%; and two first-grade dry ports: in Chaoyang and Hulunbuir, with an average utilization rate of 74.95%, carrying 82.76% of the container transshipment volume. Compared with the RD mode, the total, economic, and carbon emission costs of the RD-RL mode are lower by 21.67%, 22.98%, and 78.37%, respectively, and the time cost is higher by 8.02%.(3)
Considering that the container cargo can be split, it has a great impact on the distribution of freight flow and transportation cost, and if only the container in the shipper city can be split at will in the transportation process, the total transportation costs can be optimized.(4)
In the RD-RL-RD mode, the road transportation cost between the shipper and the dry port accounts for 27.869% of the total transportation cost, and the road transportation cost between the seaport railway station and the seaport accounts for 3.593% of the total cost. The road transportation cost accounts for 31.462% of the total transportation cost. In the RD-RL mode, the road transport cost between the shipper and the dry ports accounts for 29.254% of the total transport cost. This indicates that the road transportation cost between the shipper and the dry port has a significant impact on the total transportation cost, freight demand distribution, and dry port selection. Compared with the RD-RL-RD mode, the total annual transport cost of the RD-RL mode is lower by approximately 3.340%, CO2 emissions are lower by approximately 8.590%, and the dry port selection scheme does not change significantly. This indicates that although the direct rail connection to the seaport does not have a significant impact on the dry port selection scheme, it helps in reducing the total transportation cost, especially the negative impact on the environment.The market-oriented reform of China’s railway operations has been intensifying, and the development of multimodal transport has been accelerating. This study considers the scale effect (discount coefficient) of railway transportation to make the study of dry port locations more consistent with the actual development. In addition, the location selection process in this study considers both the capacity level of the dry ports and the conditions for cities to build dry ports, which is an improvement of the two-stage dry port location method. It ensures that the number, level, and layout of dry ports are in line with the actual situation.Future research may explore the following four aspects: First, the problem of dry port location is a complex system project involving many influential factors. More factors (such as weight coefficient of different costs) can be considered while setting optimization objectives, and the limitation of railway capacity can be considered while setting constraints. Second, this study has solved the joint optimization problem of land port planning and container transportation for a specific port, and the land port location problem may need to be extended to multiple ports. Third, this study focuses on regional-level network and intends to solve the optimization problem of the nationwide network. Fourth, this study focuses on the macro spatial layout of land port planning, and future research may be extended to the microlayout of the land port in the urban planning of the land port city.



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*Source: 5584600-2021-04-22.xml*