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首页> 外文期刊>Applied Mathematical Modelling >A note on a two variable block replacement policy for a system subject to non-homogeneous pure birth shocks
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A note on a two variable block replacement policy for a system subject to non-homogeneous pure birth shocks

机译：关于受非均匀纯出生冲击的系统的两个可变块替换策略的注释

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摘要

This paper considers an operating system subject to shocks occurring as a non-homogeneous pure birth process (NHPBP). A shock can cause two types of system failures: a type-Ⅰ failure (minor failure) is rectified by a general repair, whereas a type-Ⅱ failure (catastrophic failure) is removed by an unplanned replacement or remains inactive until the next planned replacement The probabilities of these two types of failures depend on the number of shocks since the last replacement We consider a modified block replacement policy (BRP) policy with a random repair cost as follows: first an operating system is preventively replaced with a new one at times iT (I = 1,2,...) regardless its failure history. If the system fails in [(i - 1 )T, (i -1 )T+ T_0), it is either replaced by a new one or generally repaired, and if fails in [(i -1 )T+ T_0, iT), it is either generally repair (minor failure) or remains inactive (catastrophic failure) until the next planned replacement Thus the policy is called a two variable policy with a fixed replacement interval and a threshold for the system age. The expected cost rate is derived by using the renewal reward theory. The two-variable cost function is transformed into a one variable function and the optimal policy is analyzed.
机译：本文将受到冲击的操作系统视为非均匀纯出生过程（NHPBP）。电击会导致两种类型的系统故障：Ⅰ类故障（轻微故障）通过常规维修得以纠正，而Ⅱ类故障（灾难性故障）通过计划外的更换得以消除，或者直到下一次计划中的更换均不起作用。这两种类型的故障的可能性取决于自上次更换以来的电击次数。我们考虑一种修改后的块更换策略（BRP）策略，其修复成本如下：首先，一次预防性地将操作系统替换为新的操作系统iT（I = 1,2，...），无论其故障历史记录如何。如果系统在[[i-1）T，（i -1）T + T_0）中发生故障，则将其替换为新的系统或进行全面修复，如果系统在[[i -1）T + T_0，iT）中发生故障，它通常是维修（轻微故障）或保持不活动（灾难性故障），直到下一次计划更换为止。因此，该策略称为具有固定更换间隔和系统寿命阈值的两个变量策略。预期成本率是通过使用更新奖励理论得出的。将两变量成本函数转换为一个变量函数，并分析了最优策略。

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  • 来源
    《Applied Mathematical Modelling》 |2016年第6期|3703-3712|共10页
  • 作者

    Shey-Huei Sheu; Yen-Luan Chen; Chin-Chih Chang; Zhe George Zhang;

  • 作者单位

    Department of Statistics and Informatics Science, Providence University, Taichung 433, Taiwan,Department of Industrial Management, National Taiwan University of Science and Technology, Taipei 106, Taiwan;

    Department of Marketing Management, Takming University of Science and Technology, Taipei 114, Taiwan;

    Department of Chains and Franchising Management, Takming University of Science and Technology, Taipei 114, Taiwan;

    Department of Decision Sciences, Western Washington University, Bellingham, WA 98225-9077, USA, & Beedie School of Business, Simon Fraser University, Burnaby, BC V5A 1S6, Canada;

  • 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

    Block replacement; Pure birth process; Shock model; Maintenance; Optimization; Repair;

    机译：块更换;纯出生过程;冲击模型保养;优化;修理;

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