运筹与管理 ›› 2018, Vol. 27 ›› Issue (10): 113-117.DOI: 10.12005/orms.2018.0238

• 理论分析与方法探讨 • 上一篇    下一篇

修理设备和开关不完全可靠的温贮备可修系统的可靠性

刘宝亮, 温艳清, 丰月姣   

  1. 山西大同大学数学与计算机科学学院,山西 大同 037009
  • 收稿日期:2017-01-06 出版日期:2018-10-25
  • 作者简介:刘宝亮(1982-),男,博士,副教授,研究方向:系统可靠性以及随机建模;温艳清(1980-),女,讲师,研究方向:系统可靠性以及随机建模;丰月姣(1981-),女,讲师,研究方向:系统可靠性以及随机建模。
  • 基金资助:
    国家自然科学基金项目(71601101);山西大同大学博士科研启动基金项目(2015-B-06)

Reliability for Warm Standby Repairable System withUnreliable Server and Switching Failure

LIU Bao-liang, WEN Yan-qing, FENG Yue-jiao   

  1. College of Mathematics and Computer Science, Shanxi Datong University, Datong 037009, China
  • Received:2017-01-06 Online:2018-10-25

摘要: 最近,KUO和KE[Reliability Engineering and System Safety. 2016, 145: 74-82, 参考文献[11]在假定部件故障后的修理时间以及修理设备故障后的修理时间均为一般分布的情形下,运用补充变量技术分别推导出三种可修系统模型的稳态可用度。然而作者并没有研究系统的瞬时可用度,本文在文献[11]的基础上,运用补充变量法推导出文献[11]中模型一的瞬时可用度的表达式。最后,用一个数值算例对所得结果进行了模拟实现。

关键词: 可修系统, 可用度, 补充变量法, Laplace变换

Abstract: Recently, KUO and KE[Reliability Engineering and System Safety. 2016, 145: 74-82, see reference[11]assume that the repair time of the failure component and that of the failure server are general distribution, and the steady state availability of the three repairable systems are obtained by using supplementary variable method respectively. However, the instantaneous availability is not investigated in reference[11]. In this paper, the instantaneous availability of the model 1 is obtained by using supplementary variable method. Finally, a numerical example is given to illustrate these results obtained in the paper.

Key words: reliability, availability, supplementary variable, Laplace transform

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