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Stochastic Analysis of a Two Non-Identical Unit Parallel System with Different Types of Failures Subject to Preventive Maintenance and Repairs

机译:具有不同类型故障且需要预防性维护和修理的两个非相同单元并联系统的随机分析

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This paper studies the stochastic analysis of a two non-identical unit parallel system with common-cause failure, critical human error, non-critical human error, preventive maintenance, and two types of repair. The system goes for preventive maintenance at random epochs. We assume that the failure, repair, replacement, and maintenance times are independent random variables and their rates are constant for each unit. The system is analyzed by using the graphical evaluation and review technique (GERT) to obtain various related measures. We study the effect of the preventive maintenance on the system performance. Certain important results have been derived as special cases. The plots for the mean time to system failure and the steady-state availability A(oo) of the system are drawn for different parametric values.
机译:本文研究具有常见原因故障,严重人为错误,非严重人为错误,预防性维护和两种维修的两个非相同单元并行系统的随机分析。该系统用于在随机时期进行预防性维护。我们假设故障,维修,更换和维护时间是独立的随机变量,并且每个单元的发生率恒定。通过使用图形评估和审查技术(GERT)对系统进行分析,以获得各种相关度量。我们研究了预防性维护对系统性能的影响。作为特殊情况,得出了某些重要结果。针对不同的参数值绘制了系统故障平均时间和系统的稳态可用性A(oo)的图。

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  • 来源
    《Mathematical Problems in Engineering》 |2013年第1期|192545.1-192545.10|共10页
  • 作者

    Mohamed Salah EL-Sherbeny;

  • 作者单位

    Department of Mathematics, Faculty of Science and Arts, Rabigh-King AbdullAziz University, P.O. Box 21911, Rabigh, Saudi Arabia,Department of Mathematics, Faculty of Science, Helwan University, P.O. Box 11795, Cairo, Egypt;

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