联合订货区间值EOQ模型及成本分摊合作博弈方法

Joint replenishment interval-valued EOQ model and cooperative game method of the cost allocation

针对含有单个供应商和多个销售商的供应链中销售商企业联合订货的情形,研究需求为区间值的不允许缺货的销售商企业联合订货区间值EOQ模型,求解出各销售商企业的区间值订货量及联合订货联盟的区间值库存成本.构建相应的区间值库存成本分摊合作博弈,提出区间值比例剩余分配值作为成本分摊方案,给出求解一大类具有类联盟单调性的区间值库存成本分摊合作博弈的区间值比例剩余分配值的一种简便算法.利用该算法,区间值比例剩余分配值可直接利用联盟库存成本区间值的左、右端点值计算得到.通过一个实例说明了文中算法的有效性及可应用性.本文可为解决复杂库存成本分摊问题提供理论与方法支持.

This paper deals with the problem arising from a supply chain with a single supplier and multiple retailers which do joint replenishment by using EOQ model. The aim of this paper is to investigate a joint replenishment interval-valued EOQ model without shortage among the retailers whose demands are intervals, the obtained retailers＇ order quantities and the coalitions＇ inventory costs are intervals as well. In order to allocate the interval-valued inventory costs, we propose an interval-valued proportional surplus division for a special subclass of interval-valued inventory cost allocation cooperative games. By adding the coalition size monotonicity-like conditions~ a simplified and an effective method is developed to obtain the lower and upper bounds of the proposed interval-valued proportional surplus division via utilizing the lower and upper bounds of the interval-valued inventory costs of coalitions, respectively. The applicability and effectiveness of the proposed method are demonstrated with a real numerical example. This paper may provide theory and method support for solving complex inventory cost allocation problems.