On the optimality of repair-cost-limit policies | |
Jiang, XY; Cheng, K; Makis, V | |
刊名 | JOURNAL OF APPLIED PROBABILITY
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1998-12-01 | |
卷号 | 35期号:4页码:936-949 |
关键词 | minimal repair optimal stopping repair-cost-limit policy |
ISSN号 | 0021-9002 |
英文摘要 | An optimal repair/replacement problem for a single-unit repairable system with minimal repair and random repair cost is considered. The existence of the optimal policy is established using results of the optimal stopping theory, and it is shown that the optimal policy is a 'repair-cost-limit' policy, that is, there is a series of repair-cost-limit functions g(n) (t), n = 1, 2, . . . , such that a unit of age t is replaced at the nth failure if and only if the repair cost C(n, t) greater than or equal to g(n) (t); otherwise it is minimally repaired. If the repair cost does not depend on n, then there is a single repair cost limit function g(t), which is uniquely determined by a first-order differential equation with a boundary condition. |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | APPLIED PROBABILITY TRUST |
WOS记录号 | WOS:000078835500016 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/13652] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Jiang, XY |
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 | Jiang, XY,Cheng, K,Makis, V. On the optimality of repair-cost-limit policies[J]. JOURNAL OF APPLIED PROBABILITY,1998,35(4):936-949. |
APA | Jiang, XY,Cheng, K,&Makis, V.(1998).On the optimality of repair-cost-limit policies.JOURNAL OF APPLIED PROBABILITY,35(4),936-949. |
MLA | Jiang, XY,et al."On the optimality of repair-cost-limit policies".JOURNAL OF APPLIED PROBABILITY 35.4(1998):936-949. |
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