A comment on Gerchak and Gupta's “On apportioning costs to customers in centralized continuous review inventory systems”
评论Gerchak和Gupta的库存成本分摊方案,指出其按独立成本比例分摊可能使部分客户在合并后受损,并用博弈论的核心理论找出无人受损的公平分摊区域,计算Shapley值作为中心。
Abstract In their recent article, Gerchak and Gupta discuss four different schemes for allocating joint inventory control costs. They demonstrate the benefits of consolidating inventories and note that allocating costs in proportion to the customers' stand‐alone costs ensured that each customer was always better off as part of the group. Their basis of allocation does not always distribute the benefits of consolidation; some customers may be worse off when new customers join up. This note applies the theory of the core from game theory to find a region of “fair” cost allocations in which no one is worse off after consolidation. The Shapley Value is computed as the center of this region.