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Optimization issues in k-out-of-n systems

机译：K-Out-N系统中的优化问题

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摘要

The k-out-of-n system is a system consisting of n independent components such that the system works if and only if at least k of these n components are successfully running. Each component of the system is subject to shocks which arrive according to a nonhomogeneous Poisson process. When a shock takes place, the component is either minimally repaired (type 1 failure) or lying idle (type 2 failure). Assume that the probability of type 1 failure or type 2 failure depends on age. First, we investigate a general age replacement policy for a k-out-of-n system that incorporates minimal repair, shortage and excess costs. Under such a policy, the system is replaced at age T or at the occurrence of the (n-k +1)th idle component, whichever occurs first. Moreover, we consider another model; we assume that the system operates some successive projects without interruptions. The replacement could not be performed at age T. In this case, the system is replaced at the completion of the Nth project or at the occurrence of the (n-k +1)th idle component, whichever occurs first. For each model, we develop the long term expected cost per unit time and theoretically present the corresponding optimum replacement schedule. Finally, we give a numerical example illustrating the models we proposed. The proposed models include more realistic factors and extend many existing models. (C) 2019 Elsevier Inc. All rights reserved.
机译：K-Out-N系统是由N个独立组件组成的系统，使得系统适用于如果这些N个组件的至少k成功运行，则系统仅适用。系统的每个部件受到根据非均匀泊松过程到达的冲击。当发生冲击时，组件是最新的修复（1型故障）或闲置（2型故障）。假设1类型失败或2型故障的概率取决于年龄。首先，我们调查一般年龄的替代策略，了解了K-Out-N个系统，该系统包含最小的修复，短缺和超额成本。在这种策略下，系统在年龄T或发生（N-K +1）TH空闲组件时更换，以先发生这种情况。而且，我们考虑另一个模型;我们假设系统在没有中断的情况下运行一些连续的项目。替换不能在年龄t执行。在这种情况下，在第n个项目或发生（n-k +1）Th空闲组件的发生时更换系统，首先发生这种情况。对于每个模型，我们每单位时间开发长期预期成本，从理论上呈现相应的最佳替代计划。最后，我们提供了一个数字示例，说明了我们提出的模型。拟议的模型包括更现实的因素并延长许多现有模型。 （c）2019 Elsevier Inc.保留所有权利。

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  • 来源
    《Applied Mathematical Modelling》 |2019年第9期|563-580|共18页
  • 作者

    Sheu Shay-Huai; Liu Tzu Hsin; Tsai Hsin-Nan; Zhang Zhe-George;

  • 作者单位

    Asia Univ Dept Business Adm Taichung 413 Taiwan|China Med Univ China Med Univ Hosp Dept Med Res Taichung 404 Taiwan|Natl Taiwan Univ Sci & Technol Dept Ind Management Taipei 106 Taiwan;

    Asia Univ Dept Business Adm Taichung 413 Taiwan;

    Natl Taichung Univ Sci & Technol Dept Appl Stat Taichung 404 Taiwan;

    Western Washington Univ Dept Decis Sci Bellingham WA 98225 USA|Simon Fraser Univ Beedie Sch Business 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

    Replacement; Excess cost; Shortage cost; Random working time; Optimization;

    机译：更换;超额成本;短缺成本;随机工作时间;优化;

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