Optimal policies for multiechelon inventory problems with Markov-modulated demand
成果类型：
Article
署名作者：
Chen, FR; Song, JS
署名单位：
Columbia University; University of California System; University of California Irvine
刊物名称：
OPERATIONS RESEARCH
ISSN/ISSBN：
0030-364X
DOI：
10.1287/opre.49.2.226.13528
发表日期：
2001
页码：
226-234
关键词：
摘要：
This paper considers a multistage serial inventory system with Markov-modulated demand. Random demand arises at Stage II Stage I orders from Stage 2, etc., and Stage N orders from an outside supplier with unlimited stock. The demand distribution in each period is determined by the current state of an exogenous Markov chain. Excess demand is backlogged. Linear holding costs are incurred st every stage? and linear backorder costs are incurred at Stage 1. The ordering casts are also linear. The objective is to minimize the long-run average costs in die system. The paper shows that the optimal policy is an echelon base-stock policy: with state-dependent order-up-to levels. An efficient, algorithm is also provided for determining the optimal base-stock levels. The results can be extended to serial systems in which there is a fixed ordering cost at stage N and to assembly systems with linear ordering costs.