...
首页> 外文期刊>Applied Mathematical Modelling >Optimization issues in k-out-of-n systems
【24h】

Optimization issues in k-out-of-n systems

机译:n出n的系统中的优化问题

获取原文
获取原文并翻译 | 示例
           

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:n个系统中的k个系统是由n个独立组件组成的系统,因此,当且仅当这n个组件中至少有k个成功运行时,该系统才能工作。系统的每个组件都会受到冲击,冲击是根据非均匀的Poisson过程到达的。发生电击时,必须对组件进行最少的维修(1型故障)或使其处于闲置状态(2型故障)。假设1型或2型故障的概率取决于年龄。首先,我们研究了n-k-of-n系统的一般年龄更换政策,该政策结合了最少的维修,短缺和超额成本。在这种策略下,系统在T年龄或第(n-k +1)个空闲组件出现时(以先到者为准)进行替换。此外,我们考虑另一种模型。我们假设系统运行着一些连续的项目而没有中断。无法在T年龄进行替换。在这种情况下,系统将在第N个项目完成时或在第(n-k +1)个空闲组件出现时进行替换,以先到者为准。对于每种模型,我们都会制定每单位时间的长期预期成本,并在理论上提出相应的最佳更换时间表。最后,我们给出一个数值示例,说明我们提出的模型。提出的模型包括更现实的因素,并扩展了许多现有模型。 (C)2019 Elsevier Inc.保留所有权利。

著录项

  • 来源
    《Applied Mathematical Modelling》 |2019年第9期|563-580|共18页
  • 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;购置成本;随机工作时间;优化;

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号