Cost Allocation for Joint Replenishment Models
成果类型：
Article
署名作者：
Zhang, Jiawei
署名单位：
New York University
刊物名称：
OPERATIONS RESEARCH
ISSN/ISSBN：
0030-364X
DOI：
10.1287/opre.1070.0491
发表日期：
2009
页码：
146-156
关键词：
摘要：
We consider the one-warehouse multiple retailer inventory model with a submodular joint setup cost function. The objective of this model is to determine an inventory replenishment policy that minimizes the long-run average system cost over an infinite time horizon. Although the optimal policy for this problem is still unknown, a class of easy-to-implement power-of-two policies are 98% effective. This paper focuses on how the cost, under an optimal power-of-two policy, should be allocated to the retailers. This question generates an interesting cooperative game. We prove that this cooperative game has a nonempty core. The key to our result is a strong duality theorem for the one-warehouse multiple retailer problem under power-of-two policies.