Optimal preventive replacement under minimal repair and random repair cost

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	Optimal preventive replacement under minimal repair and random repair cost
	Makis, V ; Jiang, X ; Cheng, K
	2000-02-01
发表期刊	MATHEMATICS OF OPERATIONS RESEARCH
ISSN	0364-765X
卷号	25 期号:1 页码:141-156
摘要	A repair/replacement problem for a single unit system with random repair cost is considered. when the unit fails, the repair cost is observed and a decision is made whether to replace the unit or repair it. We assume that the repair is minimal, i.e., the unit is restored to its functioning condition just prior to failure, without changing its age. The unit can be preventively replaced at any time. The problem is formulated as a continuous time decision problem and reduced to an optimal stopping problem in discrete time by applying results from the thoery of jump processes. The existence of the optimal policy is proved and its structure is found using semimartingale decomposition and lambda-maximization technique. It is shown that the optimal policy is an age replacement, repair-cost-limit policy, and the optimal preventive replacement time and the repair cost limits can be obtained by solving a system of ordinary differential equations with boundary conditions.
关键词	optimal stopping jump processes minimal repair preventive replacement repair-cost-limit policy
语种	英语
WOS研究方向	Operations Research & Management Science ; Mathematics
WOS类目	Operations Research & Management Science ; Mathematics, Applied
WOS记录号	WOS:000086398700009
出版者	INST OPERATIONS RESEARCH MANAGEMENT SCIENCES
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15036
专题	中国科学院数学与系统科学研究院
通讯作者	Makis, V
作者单位	1.Univ Toronto, Dept Mech & Ind Engn, Toronto, ON M5S 3G8, Canada 2.Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Makis, V,Jiang, X,Cheng, K. Optimal preventive replacement under minimal repair and random repair cost[J]. MATHEMATICS OF OPERATIONS RESEARCH,2000,25(1):141-156.
APA	Makis, V,Jiang, X,&Cheng, K.(2000).Optimal preventive replacement under minimal repair and random repair cost.MATHEMATICS OF OPERATIONS RESEARCH,25(1),141-156.
MLA	Makis, V,et al."Optimal preventive replacement under minimal repair and random repair cost".MATHEMATICS OF OPERATIONS RESEARCH 25.1(2000):141-156.