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Issue 1
Mar.  2016
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HUANG Kai, WU Qing-Tai. Reliability analysis of Birolini's duplex system sustained by a non-priority unit in cold standby[J]. Journal of East China Normal University (Natural Sciences), 2016, (1): 69-80. doi: 10.3969/j.issn.1000-5641.2016.01.009
Citation: HUANG Kai, WU Qing-Tai. Reliability analysis of Birolini's duplex system sustained by a non-priority unit in cold standby[J]. Journal of East China Normal University (Natural Sciences), 2016, (1): 69-80. doi: 10.3969/j.issn.1000-5641.2016.01.009

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

doi: 10.3969/j.issn.1000-5641.2016.01.009
  • Received Date: 2014-12-12
  • Publish Date: 2016-01-25
  • 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.
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  • [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.
    [4]WU Q, ZHANG J. A bivariate replacement policy for a cold standby

    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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