Abstract：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.
叶银芳, 李登峰. 联合订货区间值EOQ模型及成本分摊合作博弈方法[J]. 系统工程理论与实践, 2018, 38(7): 1819-1829.
YE Yinfang, LI Dengfeng. Joint replenishment interval-valued EOQ model and cooperative game method of the cost allocation. Systems Engineering - Theory & Practice, 2018, 38(7): 1819-1829.
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2018, Vol. 38 
