Optimal production control policy in unreliable batch processing manufacturing systems with transportation delay

作     者：Bouslah, B. Gharbi, A. Pellerin, R. Hajji, A. 

作者机构：Univ Quebec Ecole Technol Super Automated Prod Engn Dept Quebec City PQ Canada Ecole Polytech Dept Math & Ind Engn Montreal PQ H3C 3A7 Canada Univ Laval Dept Operat & Decis Syst Quebec City PQ Canada 

出 版 物：《INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH》 (国际生产研究杂志)

年 卷 期：2013年第51卷第1期

页      面：264-280页

核心收录：

学科分类：12[管理学] 120202[管理学-企业管理（含：财务管理、市场营销、人力资源管理）] 0202[经济学-应用经济学] 02[经济学] 1202[管理学-工商管理] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 0802[工学-机械工程] 

主　　题：unreliable manufacturing systems economic production quantity feedback production planning stochastic dynamic programming simulation 

摘      要：This paper considers the problem of production planning of unreliable batch processing manufacturing systems. The finished goods are produced in lots, and are then transported to a storage area in order to continuously meet a constant demand rate. The main objective of this work is to jointly determine the optimal lot sizing and optimal production control policy that minimise the total expected cost of inventory/backlog and transportation, over an infinite time horizon. The decision variables are the lot sizing and the production rate. The problem is formulated with a stochastic dynamic programming model and the impulse control theory is applied to establish the Hamilton-Jacobi-Bellman (HJB) equations. Based on a numerical resolution of the HJB equations, it is shown that the optimal control policy is governed by a base stock policy for production rate control and economic lot size for batch processing. A thorough analysis and practical issues are addressed with a simulation-based approach. Thus, a combined discrete-continuous simulation model is developed to determine the optimal parameters of the proposed policy when the failure and repair times follow general distributions. The results are illustrated with numerical examples and confirmed through sensitivity analysis.