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首页> 外文期刊>Applied Mathematical Modelling >Age replacement policy for a two-unit system subject to non-homogeneous pure birth shocks
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Age replacement policy for a two-unit system subject to non-homogeneous pure birth shocks

机译：两单元系统遭受非均匀纯出生冲击的年龄替换政策

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摘要

When a two-unit system is subjected to shocks, it may fail due to interactions between the units. Two types of shocks stemming from a non-homogeneous pure birth process can affect a two-unit system. A Type I shock causes a minor failure of Unit A which affects Unit B and can be rectified with minimal repair. The Type II shock causes total (catastrophic) system failure, at which point an unplanned maintenance is required to replace the failed system. Two-unit systems also exhibit failure rate interactions between units: failure of Unit A causes an internal shock that increases the failure rate of Unit B, while failure of Unit B causes instantaneous failure of Unit A. The occurrence of a particular type of shock is based on a random mechanism dependent on the number of shocks that have occurred since the last replacement. The goal of this study is to derive the expected replacement cost rate by introducing relative costs as a factor, and determining the optimal replacement period T which minimizes cost. A numerical example is presented to illustrate application of the method.
机译：当两个单元的系统遭受冲击时，由于单元之间的相互作用，它可能会失效。非均匀纯出生过程产生的两种类型的冲击会影响两单元系统。 I型电击会引起单元A的轻微故障，从而影响单元B，并且可以通过最少的维修加以纠正。 II型电击会导致整个系统（灾难性的）系统故障，这时需要进行计划外的维护才能更换故障的系统。两单元系统还表现出单元之间的故障率交互作用：单元A的故障会导致内部电击，从而增加单元B的故障率，而单元B的故障会导致单元A的瞬时故障。基于随机机制，该机制取决于自上次更换以来发生的电击次数。这项研究的目的是通过引入相对成本作为因素，并确定使成本最小化的最佳更换期T来得出预期的更换成本率。数值例子说明了该方法的应用。

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  • 来源
    《Applied Mathematical Modelling》 |2013年第11期|7027-7036|共10页
  • 作者

    Shey-Huei Sheu; Chien-Kuo Sung; Tsung-Shin Hsu; Yan-Chun Chen;

  • 作者单位

    Department of Statistics and Informatics Science, Providence University, No. 200, Chung Chi Rd., Taichung 43301,Taiwan,Department of Industrial Management, National Taiwan University of Science, and Technology, Taipei 10607, Taiwan;

    Department of Industrial Engineering and Management, Tungnan University, New Taipei 22202, Taiwan;

    Department of Industrial Management, National Taiwan University of Science, and Technology, Taipei 10607, Taiwan;

    Department of Industrial Engineering and Management, Tungnan University, New Taipei 22202, Taiwan;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Two-unit system; Age replacement; Minimal repair; Failure rate interaction; Pure birth process;

    机译：两单元系统;年龄替代;维修最少;故障率交互作用;纯出生过程;

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