华东师范大学学报（自然科学版） >

2016 , Vol. 2016 >Issue 1: 69 - 80

DOI: https://doi.org/10.3969/j.issn.1000-5641.2016.01.009

应用数学与基础数学

带有一个无优先权冷贮备部件的Birolini双部件系统可靠性分析

  • 黄 凯 ,
  • 吴清太
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  • 南京农业大学~~理学院, 南京 210095
黄凯, 男, 硕士研究生,研究方向为概率统计与可靠性分析. E-mail: huangkai29@126.com

收稿日期: 2014-12-12

  网络出版日期: 2016-03-10

基金资助

中央高校基本科研业务费自主创新重点研究项目(KYZ201424)

收起

Reliability analysis of Birolini's duplex system sustained by a non-priority unit in cold standby

  • HUANG Kai ,
  • WU Qing-Tai
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Received date: 2014-12-12

  Online published: 2016-03-10

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摘要

研究了两个同型主部件组成的,Birolini,系统,并带有一个无优先权的冷贮备备用部件组成的三部件可修系统.假定部件的寿命服从指数分布、部件的修理时间服从一般连续型分布,通过补充变量法和广义马尔可夫过程方法,得到了系统可靠度的\,Laplace\,变换、首次故障前平均时间、稳态可用度与稳态故障频度等重要可靠性指标.

关键词： 优先权;Birolini双部件系统; 可靠度; 广义马尔可夫过程

本文引用格式

黄 凯 , 吴清太 . 带有一个无优先权冷贮备部件的Birolini双部件系统可靠性分析[J]. 华东师范大学学报（自然科学版）, 2016 , 2016(1) : 69 -80 . DOI: 10.3969/j.issn.1000-5641.2016.01.009

Abstract

This paper deals with Birolini's duplex system sustained by a non-priority unit in cold standby. It is assumed that the life of the unit is exponential distribution, and the repair time of the unit is general continuous distribution. Then by using supplementary variables approach and generalized Markov process method, the Laplace transform of the reliability and the mean time to first failure are attained. Meanwhile, the availability and the failure frequency of the system are obtained.

Key words： priority rule; Birolini's duplex system; reliability; generalized Markov process

参考文献

[1]吴清太, 唐加山. 泊松冲击下冷贮备可修系统的可靠性分析~[J].数理统计与管理, 2012, 31(1): 149-156.
[2]刘宝友, 方攸同. 状态维修机械设备的可靠性和检测更换策略~[J].机械工程学报, 2006(3): 30-35.
[3]WANG H X, XU G Q. A cold system with two different components and a

single vacation of the repairman [J]. Applied Mathematics and Computation, 2012, 219: 2634-2657.
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system under Poisson shocks [J]. American Journal of Mathematical

and Management Sciences, 2013, 32(3): 145-177.
[5]WU Q, WU S. Reliability analysis of two-unit cold standby repairable

systems under Poisson shocks [J]. Applied Mathematics and Computation, 2011, 218: 171-182.
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