PIECEWISE DETERMINISTIC MARKOV PROCESS MODEL FOR FLEXIBLE MANUFACTURING SYSTEMS WITH PREVENTIVE MAINTENANCE

被引:26
作者
BOUKAS, EK
ZHU, Q
ZHANG, Q
机构
[1] GERAD,MONTREAL,PQ,CANADA
[2] UNIV KENTUCKY,DEPT MATH,LEXINGTON,KY 40506
关键词
FLEXIBLE MANUFACTURING SYSTEMS; CONTROLLED PIECEWISE DETERMINISTIC MARKOV PROCESS; MAINTENANCE AND PRODUCTION PLANNING;
D O I
10.1007/BF02191664
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
In this paper, we consider a maintenance and production model of a flexible manufacturing system. The maintenance activity involves lubrication, routine adjustments, etc., which reduce the machine failure rates and therefore reduce the aging of the machines. The objective of the problem is to choose the rate of maintenance and the rate of production that minimize the overall costs of inventory/shortage, production, and maintenance. It is shown that the value function is locally Lipschitz. Then, the existence of the optimal control policy is shown, and necessary and sufficient conditions for optimality are obtained.
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页码:259 / 275
页数:17
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