基于改进Shapley值的四级供应链利润分配研究

Research on four-level supply chain profit allocation based on improved Shapley value

为求解供应链利润分配问题,以经典Shapley值法为基础,将利润分配视为没有哑元的合作对策问题,提出改进的Shapley值模型,通过证明和推理对该改进Shapley值解进行描述和刻画,运用该模型求解四级供应链利润分配问题,并用一个算例说明该改进Shapley解的实用性和可行性。结果表明,改进的Shapley函数和经典Shapley函数在形式上具有一致性,是经典Shapley函数在模糊领域的一个自然延续和拓展,能够有效解决供应链利润分配问题。

To solve supply chain profit allocation,based on classical Shapley value method,the paper regarded profit allocation as no-dummy cooperative game and put forward improved Shapley value model.By proving and reasoning,this paper described and portrayed improved Shapley value,and used the Shapley model to solve four-level supply chain profit allocation and proposed a numerical example to illustrate the practicability and feasibility of improved Shapley value model.The results show,the form of improved Shapley function is consistent with the classical,the improved Shapley function is natural renewal and expansion of classical function on fuzzy area and can effectively solve supply chain profit allocation.