# The Common Warehouse Model and Profit Distribution of the Express Industry
## 3 Model Construction
### The Improved Shapley Value Method  
Based on the actual situation and the research of scholars, this paper selects three factors that have an influence on the income of the express enterprise alliance, namely, the input capital contribution, risk contribution, and innovation research contribution. The input capital contribution is used to measure the contribution of member enterprises to the whole alliance in transportation means, moving and unloading equipment, construction cost and site cost of the distribution center, human capital, financing cost, and other aspects. Risk contribution is used to describe the proportion of risks taken by each member enterprise in the alliance. This kind of risk combines a variety of factors, including the market environment, industry competition environment, and the enterprise's situation. The alliance should evaluate the risks taken by each member enterprise and give certain income incentives to the high-risk member enterprises. For example, the earlier the member enterprises join the alliance, the greater the cooperation risk will be. Compared with the enterprises that enter the alliance when the alliance is of high yield and low risk, the member enterprises that join the alliance early deserve to receive more profits in the profit distribution. The innovation research contribution is used to measure the contribution of member enterprises in the innovation research and development work of the alliance. The concept of innovative research contribution was put forward mainly because innovation is of great significance to the development of the future mode of the alliance, but the investment in innovation and research is large, and it is not easy to see the results in the short term. In order not to discourage the enthusiasm of member enterprises in the field of innovation and research, the alliance should give appropriate encouragement to the member enterprises that make contributions in this part, even if the profits gained from cooperation cannot directly reflect the efforts of member enterprises in this part. Thus the thought block diagram can be obtained, shown in Figure 3.  
Figure 2: The flowchart of the model of a unified warehouse and distribution. The revised profit distribution scheme is:  
\[\varphi_{i}^{\prime}=\varphi_{i}+\Delta\lambda_{i}\times v(s) \tag{3}\]  
\[\Delta\lambda_{i}=\lambda_{i}-\frac{1}{n} \tag{4}\]  
\[\lambda_{1}=\sum_{k=1}^{m}\delta_{k}\times x_{i}^{(k)} \tag{5}\]  
Among them, the weights of these three factors in Equation (5) can be obtained by AHP. \(\varphi_{i}^{\prime}\) is member \(i\)'s share of the profits after amended. \(\varphi_{i}\) is member \(i\)'s share of the profits calculated by traditional Shapley value method. \(\lambda_{i}\) is the comprehensive correction factor. \(\mathcal{E}_{i}\) is the weight of three factors: investment capital, risk, and sharing of innovative research. \(x_{i}^{(k)}\) is the value of member \(i\) on the \(k\)th factor. \(m\) is the number of factors. \(\Delta\lambda_{i}\) is the difference between the comprehensive evaluation and the average evaluation. As the contribution of members is calculated according to \(\frac{1}{n}\), \(\Delta\lambda_{i}\) reflects the deviation according to \(\frac{1}{n}\). Thus below must be satisfied:  
\[\sum_{i=1}^{n}\Delta\lambda_{i}=0 \tag{6}\]  
\[\sum_{i=1}^{n}\lambda_{i}=1 \tag{7}\]  
After considering the three factors simultaneously, this paper designs the correlation among the three factors through the causal diagram shown in Figure 4, and describes the risk as a factor jointly determined by the input capital contribution, innovative research contribution, and one other factor, and further revises the risk contribution as follows:  
\[\vartheta_{i}=k_{1}f(\theta_{i})+k_{2}g(\rho_{i})+k_{3} \tag{8}\]  
\[k_{1}+k_{2}+k_{3}=1 \tag{9}\]  
Among them, \(k_{i}\) is the weight constant, where \(k_{3}\) is a constant value used to reflect the influence of other factors that influence the risk.