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运筹学学报 >

2017 , Vol. 21 >Issue 1: 78 - 86

DOI: https://doi.org/10.15960/j.cnki.issn.1007-6093.2017.01.008

运筹学

工作时间受限的单部件可修系统的维修策略

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  • 1. 燕山大学理学院, 秦皇岛  066004  

收稿日期: 2016-07-04

  网络出版日期: 2017-03-15

基金资助

国家自然科学基金(No. 11301458)

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Maintenance strategy of restricted working time for single-unit repairable system

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  • 1. College of Science, Yanshan University, Qinhuangdao 066004, Hebei, China

Received date: 2016-07-04

  Online published: 2017-03-15

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摘要

基于几何过程理论, 研究了一类工作时间受限的单部件可修系统的最优更换策略问题. 假定系统的维修时间和工作时间都服从一般分布, 当工作时间低于预先给定的阈值 phi , 或当系统的维修次数达到N时, 不再维修, 而是更换上全新系统. 利用更新过程理论, 得到了系统平均故障频度和平均可用度等可靠性指标, 并给出了系统长期运行单位时间期望效益函数的表达式, 最后通过数值模拟讨论了下限阈值和工作 次数对最优策略的影响.

关键词： 可修系统; 可用度; 故障频度; 期望效益; 几何过程

本文引用格式

程晓绚, 岳德权, 赵冰 . 工作时间受限的单部件可修系统的维修策略[J]. 运筹学学报, 2017 , 21(1) : 78 -86 . DOI: 10.15960/j.cnki.issn.1007-6093.2017.01.008

Abstract

By applying the geometric process theory, the optimal repair replacement policy for a single-unit system with limited working time is studied in this paper. Assuming that the maintenance time and working time obey the general distribution, when the working time is lower than the settled threshold phi, or if the system is repaired N times, the system will be replaced. By using the theory of renewal process, some reliability indices including the average occurrence of failure and average availability for the system are obtained. The function expression for long-run expected benefit is also obtained. Finally, by numerical simulation, the effects of the lower threshold and the working times on optimal strategy are discussed.

Key words： repairable system; availability; fault frequency; expected benefit; geometric process

参考文献

[1] Brown M, Proschan F. Imperfect repair [J]. Journal of Applied Probability, 1980, 20(4): 851-859.
[2] Lam Y. Geometric processes and replacement problem [J]. Acta Mathematicae Applicatae Sinica ( English Series), 1988, 4(4): 366-375.
[3] Zhang Y L, Yam R C M, Zuo M J. Optimal replacement policy for a deteriorating production system with preventive maintenance [J]. International Journal of Systems Science, 2001, 32(10): 1193-1198.
[4] Lam Y. A geometric process maintenance model [J]. Southeast Asian Bulletin of Mathematics, 2003, 27(2): 295-305.
[5] Lam Y. A geometric process maintenance model with preventive repair [J].  European Journal of Operational Research, 2007, 182(2): 806-819.
[6] Wang H. A survey of maintenance policies of deteriorating systems [J].  European Journal of Operational Research, 2002, 139(3): 469-489.
[7] 王冠军, 张元林. 维修时间受限的单部件系统几何过程维修模型 [J]. 东南大学学报, 2013, 43(6): 1335-1339.
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