the influence of location upon profitability and employment change in small companies this paper examines the hypothesis that firms located in large urban areas suffer from location diseconomies which significantly reduce their profitability and propensity to create employment this hypothesis is tested on a sample of companies located within a single region the north of england over the period 1974 81 the empirical results suggest that neither trading profits nor employment change are significantly influenced by location however the amount taken out of the business in the form of directors remuneration which on average swallowed up 61 5 per cent of trading profits is significantly negatively related to employment change this suggests that with respect to employment creation public policy should focus on influencing the size of directors remuneration rather than on directly increasing trading profits fiscal policies may not be effective in this context however with the result that significantly influencing the behaviour of small firm directors may be a policy role best fitte

on the indeterminacy of capital accumulation paths abstract in neoclassical optimal growth models the stability of the accumulation paths depends on the discount parameter we prove that for discount factors small enough the policy function which describes an optimal path can be of any type the result is achieved using the notion of concavity we adopt a constructive approach given any twice differentiable map we show how to construct an optimal growth problem which produces that map as the optimal policy function a consequence is that chaos can appear in these models we also provide bounds on the values of the discount parameter for which indeterminacy is possible

economies of scope and economies of agglomeration abstract agglomeration economies are economies external to the firm and plant but internal to a particular location in this paper the notion of agglomeration economies is formally investigated the implications of the concept for urban structure and industrial organization are then traced under specified considerations weak economies of agglomeration as defined in this paper are shown to be necessary for the existence of an urban area

modeling a multi attribute utility newsvendor with partial backlogging abstract traditional newsvendor models usually focus on single profit maximization or cost minimization approaches however making a monetary estimate of the consequences of lost sales as a result of shortages is often a difficult task for many practitioners besides there is still a lack of an explicit account of decision making judgments on the multiple consequences of making decisions with regard to order quantities in order to deal with this problem this paper presents a multi attribute utility model for the newsvendor problem with regard to profit the impacts of service level on corporate image and on customers goodwill and the impact on the environment arising from the disposal of unsold products demand is partially backlogged according to a decreasing exponential function of the waiting time the fundamental principles and limitations related to the application of the model built are also discussed

on conservation of renewable resources with stock dependent return and nonconcave production textabstractthis paper analyzes conservation and extinction of renewable resources when the production function is nonconcave and the return function depends on consumption and the resource stock the paper focuses on the efficiency of global conservation a safe standard of conservation and extinction which outcome obtains depends on the marginal rate of substitution between investment and the stock in addition to the discount factor and the marginal productivity of the resource conservation may be efficient even if the discounted intrinsic growth rate of the resource is less than 1 journal of economic literature classification numbers d90 q20

note comment on a generalized quantity discount pricing model to increase supplier s profits lee and rosenblatt lee h l m j rosenblatt 1986 a generalized quantity discount pricing model to increase supplier s profits management sci 32 9 1177 1185 considered the joint problem of ordering and offering discount by a supplier to his sole buyer the objective of the supplier being to induce the buyer to alter his order quantities in order to increase the supplier s yearly profit they determined the optimal ordering and pricing policy for the supplier under the constraint on the amount of discount offered to the purchaser this restriction on the amount of price discount seems unreasonable when the objective of the supplier in all likelihood is to increase his own profits it is possible that higher discounts in purchase price may lead to greater economies for the supplier in this note a much simpler approach is being offered for determining the optimal ordering and pricing policy for the supplier

an economic order quantity model with partial backordering and all units discount abstract the classic economic order quantity model assumes that the unit purchasing cost is not based on the order quantity in practice a supplier may offer purchasers an all units discount we develop a model and solution procedure for the eoq with all unit discounts and partial backordering at a constant rate we show and illustrate with a numerical example how that model can be used to find the solution for the eoq with discount and full backordering a multi factor experiment is used to gain insights into the improvement in performance of the proposed procedure relative to using the basic eoq or the eoq with full backordering and to identify the model parameters that have the greatest impact on the model s performance

a generalized quantity discount pricing model to increase supplier s profits in this paper the joint problem of ordering and offering price discount by a supplier to his sole major buyer is analyzed the objective is to induce the buyer to alter his order schedule and size so that the supplier can benefit from lower set up ordering and inventory holding costs we generalize the quantity discount pricing model of monahan monahan j p 1984 a quantity discount pricing model to increase vendor profits management sci 30 6 720 726 to 1 explicitly incorporate constraints imposed on the amount of discount that can be offered and 2 relax the implicit assumption of a lot for lot or order for order policy adopted by the supplier an algorithm is developed to solve the supplier s joint ordering and price discount problem

the demand for industrial sites in a metropolitan area theory empirical evidence and policy implications abstract a model of urban manufacturing location is developed in order to explain the demand for industrial sites in a metropolitan area within the theory of qualitative choice behavior firms identified by a set of eight characteristics are viewed as selecting sites possessing two attributes of varying degrees of importance to different kinds of firms using a multinomial logit specification the model is estimated for the cincinnati smsa the results lend support to the firm specific nature of the site selection process information concerning the determination of the spatial distribution of the firm types in cincinnati is derived from the analysis implications for the possible effectiveness of a policy initiative designed to alter existing patterns of urban industrial location conclude the paper

replenishment decisions under an all units discount schedule and stepwise freight costs in this study we analyze the replenishment decisions under a general replenishment cost structure that includes stepwise freight costs and all units quantity discounts we first formulate a general model that accounts for a larger class of problems and prove several useful properties of the expected profit function we later utilize these properties to develop a computational solution approach to find the optimal order quantity as an application of the general results we study the replenishment decisions in the single period i e the newsboy problem considering several scenarios that model the cost considerations either for the buyer or for both the buyer and the vendor

contract complexity and performance under asymmetric demand information an experimental evaluation exploring the tension between theory and practice regarding complexity and performance in contract design is especially relevant the goal of this paper is to understand why simpler contracts may commonly be preferred in practice despite being theoretically suboptimal we study a two tier supply chain with a single supplier and a single buyer to characterize the impact of contract complexity and asymmetric information on performance and to compare theoretical predictions to actual behavior in human subject experiments in the experiments the computerized buyer faces a newsvendor setting and has better information on end consumer demand than the human supplier the supplier offers either a quantity discount contract with two or three price blocks or a price only contract contracts that are commonplace in practice yet different in complexity results show that contrary to theoretical predictions quantity discounts do not necessarily increase the supplier s profits we also observe a more equitable distribution of profits between the supplier and the buyer than what theory predicts these observations can be described with three decision biases the probabilistic choice bias the reinforcement bias and the memory bias and can be modeled using the experience weighted attraction learning model our results demonstrate that simpler contracts such as a price only contract or a quantity discount contract with a low number of price blocks are sufficient for a supplier designing contracts under asymmetric demand information this paper was accepted by christian terwiesch operations and supply chain management

locational patterns and dynamics of industrial activity in the modern metropolis this paper attempts to review and re structure a mass of published ideas on the geography of industrial activity in the modern metropolis the argument proceeds in a series of stages first some basic locational factors in the city are examined second a critical discussion of the literature on economies of agglomeration and scale in cities is undertaken third a brief description of manufacturing activity in nineteenth century cities is provided by way of motivating and orientating the succeeding discussion fourth the phenomenon of industrial decentralisation in twentieth century cities is described fifth an attempt is made to construct a composite theory of intra metropolitan industrial location on the basis of the historical process of the substitution of capital for labour in capitalist commodity production sixth a schematic re statement of the theory is presented and its implications for the spatial cum organisational evolution of modern industry are elucidated seventh some of the main po

managing channel profits a channel of distribution consists of different channel members each having his own decision variables however each channel member s decisions do affect the other channel members profits and as a consequence actions a lack of coordination of these decisions can lead to undesirable consequences for example in the simple manufacturer retailer consumer channel uncoordinated and independent channel members decisions over margins result in a higher price paid by the consumer than if those decisions were coordinated in addition the ensuing suboptimal volume leads to lower profits for both the manufacturer and the retailer this paper explores the problems inherent in channel coordination we address the following questions what is the effect of channel coordination what causes a lack of coordination in the channel how difficult is it to achieve channel coordination what mechanisms exist which can achieve channel coordination what are the strengths and weaknesses of these mechanism what is the role of nonprice variables e g manufacturer advertising retailer shelf space in coordination does the lack of coordination affect normative implications from in store experimentation can quantity discounts be a coordination mechanism are some marketing practices actually disguised quantity discounts we review the literature and present a simple formulation illustrating the roots of the coordination problem we then derive the form of the quantity discount schedule that results in optimum channel profits this article was originally published in marketing science volume 2 issue 3 pages 239 272 in 1983

declining city productivity and the growth of rural regions a test of alternative explanations prior to the 1970s the u s witnessed a net flow of migrants from its nonmetropolitan to its metropolitan region since then however a dramatic reversal of this long standing tendency for people to concentrate in metropolitan places has been observed nonmetropolitan places have gained migrants largely as the result of increased outmigration from metropolitan areas an open question has been to what extent the employment profile between metropolitan and nonmetropolitan places parallels that of population this paper introduces a data series compiled from county business patterns that is used to analyze the employment trends for the first time the analysis reveals that not only is total employment growing fastest in nonmetropolitan counties but it also appears that the turnaround in employment growth preceded the reversal in the rate of population increase manufacturing which had faster nonmetropolitan growth rates even during the 195os appears to have led in the development of nonmetropolitan counties this shift of manufacturing has attracted other sectors as well as people to nonmetropolitan places part of the recent growth of nonmetropolitan counties represented nothing more than a continuation of suburbanization or spillover of people and jobs which permitted one more outward bound into adjacent nonmetropolitan counties but there is more to nonmetropolitan development than simply metropolitan spillover nonmetropolitan counties far removed from metropolitan ones are also growing faster than metropolitan counties it is shown that this rural renaissance is part of a general deconcentration

a classification of literature on determining the lot size under quantity discounts abstract determining a lot size in the presence of either all units or incremental discounts has represented one of major interests of materials managers it is a common practice that the suppliers offer quantity discount to entice the buyers to purchase more and to achieve economies of scale for transportation and processing costs this paper will classify the literature on lot sizing determination under several types of discount schemes and discuss some of the significant literature in this area over two decades also some future research areas have been identified

quantity discounts under demand uncertainty to motivate buyers to increase their order quantity suppliers often rely on a well established and widely used approach they offer quantity discounts this practice is in large part driven to obtain improved economies in transportation through higher truckload utilization recently transportation rates which are increasing faster than other costs have become a larger portion of total net landed cost placing the traditional quantity discount practices under scrutiny many suppliers are left perplexed as to why their approach is not effective anymore and some are even concerned that their overall profits may have actually decreased due to their discount parameters in this paper we study a multiperiod model with a buyer facing stochastic end item demand and a supplier offering an all units quantity discount to him to understand better the dynamics of such systems we provide guidelines and insights on how to set effective discount parameters and when not to expect much from them we derive the opt

policy functions for capital accumulation paths abstract it has recently been shown that in neoclassical optimal growth models the set of policy function contains all twice differentiable functions the question has been raised as to whether this restriction to twice differentiable functions is essential in this paper we show that all c 1 functions with derivative satisfying a lipschitz condition can serve as policy functions and we also show by examples that differentiability is not a required property of a policy function

analysis and applications of replenishment problems under stepwise transportation costs and generalized wholesale prices abstract in this study we analyze the replenishment decision of a buyer with the objective of maximizing total expected profits the buyer faces stepwise freight costs in inbound transportation and a hybrid wholesale price schedule given by a combination of all units discounts with economies and diseconomies of scale this general cost structure enables the model and the proposed solution to be also used for the supplier selection of a buyer under the single sourcing assumption we show that the buyer s replenishment problem reduces to finding and comparing the solutions of the following two subproblems i a replenishment problem involving wholesale prices given by an all units discount schedule with economies of scale and a lower bound on the replenishment quantity and ii a replenishment problem involving wholesale prices given by an all units discount schedule with diseconomies of scale and an upper bound on the replenishment quantity we propose solution methods for these two subproblems each of which stands alone as practical problems and utilize these methods to optimally solve the buyer s replenishment problem

a complete characterization of optimal growth paths in an aggregated model with a non concave production function the convexity of technology has played a crucial role in economic analyses of optimal one sector growth problems for example two of the key results on the traditional model of ramsey 1928 that have relied on the convexity of the technology are that optimal intertemporal growth involves moving monotonically towards a unique steady state as in cass 1965 koopmans 1965 and that the value function is a concave differentiable function of the initial capital stock as in benveniste and scheinkman 1979

optimal pricing and inventory strategies with multiple price markdowns over time abstract we study a multiple period discount problem for products that undergo several price cuts over time in the high technology sector electronic component suppliers are often able to offer pre announced price cuts to buyers due to technological innovation that allows them to produce existing components at lower costs in this context suppliers are primarily concerned with the optimal pricing decisions for the components over their life spans in order to achieve the highest possible revenues accordingly the buying firms i e manufacturers or retailers also need to identify the corresponding optimal retail prices and order quantity for the finished products that utilize the components for which discounts are offered frequently in this research we develop a multiple period price discount model that addresses this issue extant research in the price discount literature focuses on supply chains pricing and inventory decisions in the presence of a single price discount the proposed model in contrast offers a systematic decision tool for identifying the optimal strategies throughout a product s life span our results show that a decentralized supply chain characterized by multi period discounts over a product s life typically achieves 75 percent supply chain efficiency we undertake a series of numerical experiments based on the model and discuss their managerial implications

an approach for developing an optimal discount pricing policy this paper addresses the problem of why and how a seller should develop a discount pricing structure even if such a pricing structure does not alter ultimate demand the situation modeled is most appropriate where the seller s product does not represent a major component of the buyer s final product where the demand for the product is derived or where the price is only one of many factors considered in making a purchase decision a model of buyer reaction to any given pricing scheme is developed to show that there exists a unified pricing policy which motivates the buyer to increase its ordering quantity per order thereby reducing the joint buyer and seller ordering and holding costs as a result the seller is able to reduce its costs while leaving the buyer no worse off and often better off the model is extended to handle variable ordering and shipping costs and situations where the seller faces numerous groups of buyers each having different ordering policies finally a case study is presented explicitly showing how the proposed pricing policy can be applied to the situation of a large seller selling to a number of different buyer groups

on the validity of aggregate models in designing supply chain contracts abstract the vast majority of the existing papers on supply chain contracts analyse these contracts based on a highly aggregate model description of the supply chain recognizing the high complexity of real supply chain systems such models can naturally only be rough approximations of reality out of the many possible ways for aggregating a planning model our study focuses on item aggregation here due to computational informational or organizational reasons a multi product reality is approximated by a model representation with fewer products we explore the aggregation error made when using an aggregate model in order to optimize a supply chain contract which is subsequently applied to a more detailed real system based on a numerical analysis it is shown that the design of supply chain contracts by means of an aggregate planning model may lead to significant suboptimalities

heuristics for sourcing from multiple suppliers with alternative quantity discounts in this paper we analyze the impact of supplier pricing schemes and supplier capacity limitations on the optimal sourcing policy for a single firm we consider the situation where the total quantity to be procured for a single period is known by the firm and communicated to the supplier set in response to this communication each supplier quotes a price and a capacity limit in terms of a maximum quantity that can be supplied to the buyer based on this information the buyer makes a quantity allocation decision among the suppliers and corresponding to this decision is the choice of a subset of suppliers who will receive an order based on industry observations a variety of supplier pricing schemes from the constituent group of suppliers are analyzed including linear discounts incremental units discounts and all units discounts given the complexity of the optimization problem for certain types of pricing schemes heuristic solution methodologies are developed to identify a quantity allocation decision for the firm through an extensive computational comparison we find that these heuristics generate near optimal solutions very quickly data from a major office products retailer is used to illustrate the resulting sourcing strategies given different pricing schemes and capacity limitations of suppliers in this industry we find for the case of capacity constrained suppliers the optimal quantity allocations for two complex pricing schemes linear discount and incremental units discount are such that at most one selected supplier will receive an order quantity that is less than its capacity

a quantity discount approach to supply chain coordination abstract quantity discounts provide a practical foundation for inventory coordination in supply chains however typical supply chain participants may encounter difficulties in implementing the coordination policy simply because 1 specified lot size adjustments may deviate from the economic lot sizes and 2 the buying firm may face amplified overstocking risks related to increased order quantities the main objective of this study is to develop a quantity discount model that resolves the practical challenges associated with implementing quantity discount policies for supply chain coordination between a supplier and a buyer the proposed buyer s risk adjustment b ra model allows the supplier to offer discounts that capitalize on the original economic lot sizes and share the buyer s risk of temporary overstocking under uncertain demand the analytical results suggest that the proposed b ra discount approach is a feasible alternative for supply chain coordination under uncertain demand conditions

the urban rural manufacturing shift in the european community the paper documents for the first time at the european community scale a relative shift of manufacturing industry from highly urbanised to rural regions during the 1970s this shift is evident in

substantive issues in the definition of localities evidence from sub group local labour market areas in the west midlands coombes m g green a e and owen d w 1988 substantive issues in the definition of localities evidence from sub group local labour market areas in the west midlands reg studies 22 303 318 local labour market areas llmas are now widely accepted as the most appropriate areal units for analyses of spatial patterns of employment and unemployment the most commonly used set of llmas in britain are the travel to work areas ttwas of the department of employment these areas are increasingly being used for locality studies that encompass not only labour and demand trends but also their social and political implications however ttwas are defined on the basis of aggregate commuting patterns which generalize substantial differences in the journey to work behaviour of different sections of the workforce this paper compares the ttwas as revised in 1984 with llmas defined using the same methodology for four sub groups of the labour force with differing skill levels in the west midlands the numb

urban rural variations in the structure of manufacturing production this paper demonstrates that recent attempts to explain manufacturing shifts to nonmetropolitan areas can be synthesised into a capital vintage model of production the result is a set of systematic differences between urban and rural production methods which are consistent with the locational implications of the manufacturing process cycle theory the model is supported by the first comprehensive estimation of separate production functions for smsas and nonmetropolitan areas using census data for the us from 1977 only smsas are shown to possess the significant agglomeration economies needed for product development and process innovation cost competitive nonmetropolitan areas show much greater variation in input proportions due to spatial factor price differentials

equilibrium models displaying endogenous fluctuations and chaos abstract this paper surveys current developments in dynamic general equilibrium theory concerned with conditions under which endogenous fluctuations are possible existing contributions are divided into two classes the larger one consists of models with a unique perfect foresight equilibrium while the second includes models where equilibrium is indeterminate and the set of equilibria involving endogenous fluctuations includes sunspots equilibria while the two classes of models involve oscillations of different natures and with different policy implications we show that both are consistent with optimizing behavior and competitive equilibrium

note comments on a quantity discount pricing model to increase vendor profits monahan monahan j p 1984 a quantity discount pricing model to increase vendor profits management sci june 720 726 adapted the quantity discount model of inventory theory to the problem of determining an optimal quantity discount schedule from a vendor s point of view and opened up an important direction of research however his one item one customer one vendor model is based on several implicit assumptions that must be judged unreasonable monahan must account for the vendor s inventory carrying charges and redefine his variable s2 it is shown that a rational vendor s manufacturing frequency would not be identical to the buyer s ordering frequency if the vendor s manufacturing setup costs are substantially larger than the buyer s ordering costs a numerical example presented in this note also questions the practical usefulness of monahan s model even after its theoretical inaccuracies axe corrected monahan s model may explain discounts that are a fraction of 1 of the price of an item but it fails to explain commonly observed magnitudes of quantity discounts such as 10 of the unit price

comparative dynamics in a productive asset oligopoly abstract we build a subgame perfect nash equilibrium of a common property productive asset oligopoly and analyze separately the impact of a change in the implicit growth rate of the asset and a change in the number of firms exploiting the asset we show that the steady state level of asset can be a decreasing function of the asset s implicit growth rate this phenomenon arises when the initial stock of asset is below a certain threshold in the short run we show that firms exploitation rate can be a decreasing function of the implicit growth rate we study the impact of a change in the number of firms that share access to the asset reducing the number of firms can result in the long run in higher industry production in the short run it can result in an increase of the industry s exploitation and a decrease of the level of the asset s stock

revisiting foundations in lot sizing connections between harris crowther monahan and clark abstract while many review articles exist on deterministic lot sizing models used in the context of price and quantity discounts buyer vendor coordination supply chain management and joint economic lot sizing problems they do not convey the impact of important findings which date back to at least 2002 or in hindsight to 1984 as a result many recent articles still model the financial implications of lot sizing decisions without having the assurance that these models would help the firm s involved in maximising the net present value npv this paper therefore reviews these findings while adding also its own contributions as to convey the general importance to lot sizing theory we show that the underlying principles used in the four key articles that have led to a division in modelling approaches are in fact all in line with npv and argue that therefore there should not be these discrepancies that currently persist in the literature we establish the connections between these four strands of the literature using the solution to a simple variation of harris eoq model deriving thereby results from boyaci and gallego 2002 and beullens and janssens 2011 but showing their general applicability to any type of supply chain structure the breath of implications to deterministic lot sizing theory is illustrated using practical examples we present a stochastic version of the model of crowther 1964 which is arguably the least understood and applied model but on the other hand the most important one in realising how these modelling strands can be unified

perfectly competitive models of endogenous business fluctuations the endogenous hypothesis is not new at a pre analytic level it is based on the simple intuition that market mechanisms are inherently dynamically unstable at least around their stationary positions in this note i want to stress the theoretical point that there is nothing in the working of a perfectly competitive market system that prevents it from displaying persistent and endogenous fluctuations and that moreover such fluctuations may have their origins in market fundamentals such as factor intensities factor substitutability degree of impatience and so forth nevertheless macroeconomic models of endogenous fluctuations still have to prove that apart from being very beautiful they can also be useful to understand the so called heal world hit sunt leones this article is not intended to be a survey of all that has been written in this area in the last decade i have no title whatsoever to talk about empirical studies chera sayers contribution in this same volume addresses that guestion scheinkman 1990 is a readily available survey of nonlinear statistical methods that are relevant to this debate as for the theory incompetence recommends that i avoid touching on sunspot equilibria olg models and more generally expectations driven cycles they are instead discussed in jean michel grandmont s article finally marketing awareness implies recommending boldrin and woodford 1990 as a reasonably complete survey of what the endogenous cycle research program has recently produced at a theoretical level

non linear dynamics in the infinite time horizon model there are two important reasons why economic growth theory became again a popular field during the last 15 years the first one is that recently developed growth theoretic models capture more aspects of economic growth than the models used in the fifties and sixties nowadays models of economic growth try to explain technological progress and innovations whereas the purpose of traditional models was mainly to describe the process of capital accumulation

joint inventory replenishments with group discounts based on invoice value the study focuses attention on a grouping procedure for the purpose of joint inventory replenishments from a single supplier the grouping procedure exploits the group discounts available on the total purchase value of a group of index and the economies of scale of order placing costs in particular it is shown that the optimal groups are formed such that the annual dollar usage values of the items do not decrease may increase or stay the same from the first to the last group this is similar in concept to the well known abc classification of inventory items the grouping problem is modeled as a shortest path using the above property

infrastructure growth and the two dimensions of industrial policy when sustained growth depends on establishing an indivisible infrastructure for directly productive activities dpas both discrete and marginal departures from optimal growth can undermine the dynamic efficiency of the market producers anticipations of paying monopoly fees for infrastructure services dampen their incentive to invest in dpas and may prevent the economy from reaching a minimal level of activity that would justify investment in a large indivisible infrastructure and potential investors in infrastructure may be intimidated by the prospect of expropriatory regulation thus a credible prior commitment to effective but fair regulation is necessary for achieving optimal growth but it may not be sufficient low level expectations before the infrastructure is established can be self fulfilling indicating a role for coordinative industrial policy investment subsidies even in conjunction with regulation cannot induce an efficient equilibrium

a generalized discount structure and some dominance rules for selecting the price break eoq abstract this paper introduces a generalized discount structure that combines the features of incremental and all units quantity discount policies general properties of the eoq model under this discount structure are studied and dominance rules for comparing order quantity intervals under either type of discount policy are established in addition procedures for developing an iso cost function and the minimal feasible set for optimal order quantity are proposed

right to work laws do matter recent economic literature has ascribed a benign influence to right to work rtw laws the apparent consensus is that rtw laws do not reduce union membership because organized labor must have already been weak at the time right to work laws were enacted this time series observation i e union membership is not significantly lower after rtw laws have been enacted than what it was before has been misapplied to argue that right to work laws are not associated with economic differences between right to work states and union shop states a closer look at this nonsequitur is in order this paper contends that right to work laws do matter the consensus to the contrary rests on a shakey econometric foundation proponents of the proposition that rtw laws are harmless have never subjected that hypothesis to empirical scrutiny instead they have tested weak models of the right to work laws do matter hypothesis by rebutting a characterature of a proposition they set out to refute these analysts make their own hypothesis the null hypothesis it is not hard to support a precept which is proved merely by showing that the probability that it is false is less than 95 percent such procedures generate impressive polemics they do not further the interests of positive economics

catch up in turn in a multi country international trade model with learning by doing and invention abstract we consider how the world income distribution evolves over time when both learning by doing and invention are the engines of economic growth and when countries interact with each other through international trade the main findings are i catch up is possible ii in the three country model transitional dynamics are much richer than in the two country model in particular catch up may occur in turn there may be a first stage in which the middle income country grows fastest closing the gap with the richest country but increasing the income difference with the poorest followed by a second stage where the poorest country catches up

competitive equilibrium cycles recently there has been a surge of interest in endogenous business cycles that arise in competitive laissez faire economies in the context of standard overlapping generations economies conditions for the existence of equilibrium cycles have been given by grandmont 1983 and by benhabib and day 1982 models of the economy with extrinsic uncertainty or sunspots that have been developed by shell 1977 and by cass and shell 1983 see also balasko 1983 can also lead to equilibrium cycles

shared resource capacity expansion decisions for multiple products with quantity discounts abstract when multiple products compete for the same storage space their optimal individual lot sizes may need to be reduced to accommodate the storage needs of other products this challenge is exacerbated with the presence of quantity discounts which tend to entice larger lot sizes under such circumstances firms may wish to consider storage capacity expansion as an option to take full advantage of quantity discounts this paper aims to simultaneously determine the optimal storage capacity level along with individual lot sizes for multiple products being offered quantity discounts either all units discounts incremental discounts or a mixture of both by utilizing lagrangian techniques along with a piecewise linear approximation for capacity cost our algorithms can generate precise solutions regardless of the functional form of capacity cost i e concave or convex the algorithms can incorporate simultaneous lot sizing decisions for thousands of products in a reasonable solution time we utilize numerical examples and sensitivity analysis to understand the key factors that influence the capacity expansion decision and the performance of the algorithms the primary characteristic that influences the capacity expansion decision is the size of the quantity discount offered but variability in demand and capacity per unit influence the expansion decision as well furthermore we discover that all units quantity discounts are more likely to lead to capacity expansion compared to incremental quantity discounts our analysis illuminates the potential for significant savings available to companies willing to explore the option of increasing storage capacity to take advantage of quantity discount offerings for their purchased products

quantity discounts managerial issues and research opportunities marketing managers frequently administer pricing policies involving substantial quantity discounts however our understanding of the precise role of these discounts and their design is quite limited this paper reviews and integrates the economics and marketing literature and presents a detailed analysis of the policies of four firms in order to i specify the variety of motivations for quantity discounts ii provide guidelines to managers in designing quantity discount schedules and iii set out the most fruitful directions for future research

multi buyer discount pricing abstract this article gives an exact optimal solution to the problem of finding the optimal discount price and price break quantity for a seller dealing with one buyer it also gives a method for solving the problem when one seller offers a single quantity discount schedule to many buyers the discount is of the all quantity type and the model of the cost structure was originally proposed by crowther

an incremental discount pricing schedule with multiple customers and single price break abstract this paper analyzes how a supplier can formulate the terms of a quantity discount pricing schedule assuming a single incremental discount system a model is developed from which an algorithm is derived for an optimal discount schedule the cases are investigated in which both the discount rate and the break point are unknown and either one is prescribed a numerical example is presented to illustrate the algorithm developed

an eoq model for perishable product with special sale and shortage abstract in this paper for the first time an inventory control model to determine the optimal order and shortage quantities of a perishable item when the supplier offers a special sale is developed four possible cases based on decision that the purchaser might make about the first replenishment policy using regular economic order quantity model at reduced price or regular price if he did not take the special order and coincidence of special period length with positive or negative inventory level of the last regular period length during the special period are investigated moreover several useful theorems are suggested through which one can find closed form solution directly when there are integer operators involved in an objective function at the end in order to illustrate the proposed theorems and the solution method some numerical examples are solved and a sensitivity analysis is reported too

improving the efficiency of the purchasing process using total cost of ownership information the case of heating electrodes at cockerill sambre s a improving the efficiency of the purchasing process provides important opportunities to increase a firm s profitability in this paper we introduce a mathematical programming model that uses total cost of ownership information to simultaneously select suppliers and determine order quantities over a multi period time horizon the total cost of ownership quantifies all costs associated with the purchasing process and is based on the activities and cost drivers determined by an activity based costing system our approach is motivated by the purchasing problem of heating electrodes at cockerill sambre a belgian multinational steel producer in this case quality issues account for more than 70 of the total cost of ownership making the quality of a supplier a critical success factor in the supplier selection process

note on a quantity discount pricing model to increase vendor profits monahan monahan james p 1984 a quantity discount pricing model to increase vendor profits management sci 30 june 720 726 develops a model for establishing an optimal quantity discount schedule from a vendor s viewpoint in this note we show that this model is limited to the case where the vendor buys from another supplier incorporating vendor s inventory carrying costs we develop a generalized version of monahan s model and demonstrate its equivalence with the joint economic lot size approach suggested by banerjee banerjee avijit 1986 a joint economic lot size model for purchaser and vendor decision sci 17 summer 292 311

a new look at optimal growth under uncertainty abstract we consider the discounted optimal growth model under uncertainty and model the stochastic technology as a transition probability mapping inputs into random outputs this formulation allows for weaker assumptions of monotonicity and convexity on the technology associated with second order stochastic dominance and permitting some increasing returns preserving all the conclusions of this model furthermore in this framework the differentiability of the unique optimal policy is obtained in an elementary way from the smoothness of the data our results provide support for the contention that stochastic modeling in economics should be more than a mere extension of the deterministic realm

optimal policy for an inventory system with backlogging and all units discounts application to the composite lot size model this paper examines an inventory model with full backlogging and all units quantity discounts the practical scenario of a salesperson offering compensation to a client so as not to lose the sale is considered the cost of a backorder thus includes both a fixed cost and a further cost which is proportional to the length of time the said backorder exists a first algorithm is developed to determine the optimal policy while some extensions to this algorithm are obtained that include additional conditions on the model in particular the well known composite lot size model developed by tersine is solved incorporating a new stockout cost and a new all units discount numerical examples are provided to illustrate the application of the algorithms

the adoption of new technology in the american machinery industry rees j briggs r and oakey r 1984 the adoption of new technology in the american machinery industry reg studies 18 489 504 this study examines the spread of a number of key production technologies among machinery manufacturers across the united states based on a mail and interview survey of over 600 industrial plants across the country it was found that adoption rates for these innovations varied by industrial sector organizational status of plants age and size of plants as well as by region and metropolitan characteristics of plants the findings suggest that policy makers interested in nurturing small businesses should consider technical assistance strategies that encourage the spread of innovation among firms and that high priority be given to labour training programmes in local economic development strategies at the federal level this study also suggests that the innovation potential of manufacturing belt companies should not be overlooked in any new initiatives to encourage economic re

incorporating quantity discounts to the eoq model with transportation costs abstract this article extends a previous economic order quantity eoq model with two modes of transportation namely truckload tl and less than truckload ltl carriers by introducing all units and incremental quantity discount structures into the analysis exact algorithms are developed for each quantity discount structure to compute optimal policies for single stage models over an infinite planning horizon

firm location and city size reduced productivity advantages as a factor in the decline of manufacturing in urban areas abstract this paper develops a model of firm location and city size that arrives at theoretical conclusions that differ from those of other authors comparative statics results suggest that changes in national wage levels and productivity levels create no determinate dis advantage for large cities relative to small ones as sites for manufacturing activity increased wage and reduced productivity premiums of large cities however result in unambiguous disadvantages statistical analysis indicates that the productivity advantages of large cities have declined in as many as eight two digit manufacturing industries that provide more than one third of metropolitan production worker employment

dynamic version of the economic lot size model this article originally appeared in management science october 1958 volume 5 number 1 pp 89 96 published by the institute of management sciences a forward algorithm for a solution to the following dynamic version of the economic lot size model is given allowing the possibility of demands for a single item inventory holding charges and setup costs to vary over n periods we desire a minimum total cost inventory management scheme which satisfies known demand in every period disjoint planning horizons are shown to be possible which eliminate the necessity of having data for the full n periods

rural industrialisation in denmark and the role of public policy during the 1970s and 1980s major relocation of danish industry took place to both rural and peripheral areas in denmark and the causes of this are examined the paper looks at the role of public policy in this process both explicitly regional policy and also economic and social policy having differing regional effects a marked change in the nature of policy in the mid 1980s is identified moving from a cost support policy to a more offensive innovatory policy however the conclusion remains that public policy is not a major cause of the new locational trends

individual firm and market dynamics of csr activities this paper investigates how firms should plan corporate social responsibility short csr this dynamic analysis starts with a firm s intertemporal optimization problem and proceeds to analyze interactions with other firms which are crucial if csr is profitable for firm a then it is most likely also profitable for competitors b and c and these simultaneous decisions affect the gain each would achieve from trying to advance its own position we find that multiple equilibria exist irrespective of whether interactions with other firms are taken into account interactions can eliminate or create additional steady states and can lead to a situation in which history is insufficient to determine the long run outcome among multiple steady states so that coordination is beneficial

incorporating quantity discounts and their inventory impacts into the centralized purchasing decision multi site organizations must balance conflicting forces to determine the appropriate degree of purchasing centralization for their respective supplies the ability to garner quantity discounts represents one of the primary reasons that organizations centralize procurement this paper provides methodologies to calculate optimal order quantities and compute total purchasing and inventory costs when products have quantity discount pricing procedures for both all units and incremental quantity discount schedules are provided for four different strategic purchasing configurations scenarios complete decentralization centralized pricing with decentralized purchasing centralized purchasing with local distribution and centralized purchasing and warehousing for ordering decisions under local distribution procedures to determine optimal order quantities and costs are presented in a precise form that could be easily implemented into spreadsheets by practicing managers for the more complicated multi echelon scenarios we introduce a single cycle policy with a tailored aggregation refinement step that performs very well under experimentation when compared to a conservative bound