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运筹学学报 ›› 2017, Vol. 21 ›› Issue (1): 78-86.doi: 10.15960/j.cnki.issn.1007-6093.2017.01.008

• 运筹学 • 上一篇    下一篇

工作时间受限的单部件可修系统的维修策略

程晓绚1  岳德权1,*  赵冰1   

  1. 1. 燕山大学理学院, 秦皇岛  066004  
  • 收稿日期:2016-07-04 出版日期:2017-03-15 发布日期:2017-03-15
  • 通讯作者: 岳德权 ydq@ysu.edu.cn
  • 基金资助:

    国家自然科学基金(No. 11301458)

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

CHENG Xiaoxuan1  YUE Dequan1,*   ZHAO Bing1   

  1. 1. College of Science, Yanshan University, Qinhuangdao 066004, Hebei, China
  • Received:2016-07-04 Online:2017-03-15 Published:2017-03-15

PDF

323

被引次数

1

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

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