自动化学报2011，Vol.37Issue(2)：234-240,7.DOI:10.3724/SP.J.1004.2011.00234
按单装配系统中组件生产和库存分配控制策略研究
Joint Control of Component Production and Inventory Allocation in an Assemble-to-order System with Lost Sales
摘要
Abstract
This paper considers a joint control problem of combined component production and inventory allocation in an assemble-to-order system which consists of two components and three demand classes with lost sales. Each demand class arrives according to a Poisson process, and the production time of each component follows an exponential distribution.By formulating the system as a Markov decision process under the expected total discounted cost criterion, we obtain the optimality equation following the Lippman transformation, from which we derive the structural properties of the optimal control policy. Specially, the optimal production policy for each component is shown to be a base stock policy with the base-stock level non-decreasing in the inventory level of the other component, and the optimal inventory allocation for each component is a state-dependent threshold policy, where the threshold point for the demand for one kind of components is non-decreasing in the inventory level of the other component, while the threshold point for the demand for both components is non-increasing in the inventory level of the other component. Finally, we give some numerical examples to show how the optimal control policy changes with the system parameters, and we also provide some managerial insights.关键词
按单装配/多类需求/马尔科夫决策/最优控制策略Key words
Assemble-to-order system/ multi-class demand/ Markov decision process/ optimal control policy引用本文复制引用
杨超林,沈厚才,高春燕..按单装配系统中组件生产和库存分配控制策略研究[J].自动化学报,2011,37(2):234-240,7.基金项目
国家自然科学基金(71071074,70831002),江苏省自然科学基金(BK2008273)资助 （71071074,70831002）
