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首页> 外文期刊>Applied Mathematical Modelling >Reliability of a consecutive (r,s)-out-of-(m,n):F lattice system with conditions on the number of failed components in the system
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Reliability of a consecutive (r,s)-out-of-(m,n):F lattice system with conditions on the number of failed components in the system

机译：（m，n）：F连续（r，s）-out（f，n）：F晶格系统的可靠性，其条件是系统中失效组件的数量

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摘要

A consecutive(r,s)-out-of-(m,n):F lattice system which is defined as a two-dimensional version of a consecutive k-out-of-n:F system is used as a reliability evaluation model for a sensor system, an X-ray diagnostic system, a pattern search system, etc. This system consists of m × n components arranged like an (m.n) matrix and fails iff the system has an (r,s) submatrix that contains all failed components. In this paper we deal a combined model of a k-out-of-mn:F and a consecutive (r,s)-out-of-(m,n):F lattice system. Namely, the system has one more condition of system down, that is the total number of failed components, in addition to that of a consecutive (r,s)-out-of-(m,n):F lattice system. We present a method to obtain reliability of the system. The proposed method obtains the reliability by using a combinatorial equation that does not depend on the system size. Some numerical examples are presented to show the relationship between component reliability and system reliability.
机译：连续（r，s）的（m，n）：F晶格系统定义为连续k出n：F系统的二维版本，用作可靠性评估模型用于传感器系统，X射线诊断系统，模式搜索系统等。此系统由m×n个组件组成，排列成（mn）矩阵状，如果系统具有包含所有元素的（r，s）子矩阵，则该系统将失败失败的组件。在本文中，我们处理了k-out-mn：F和连续（r，s）-out-of-（m，n）：F晶格系统的组合模型。即，该系统除了连续（r，s）-出（m，n）：F晶格系统之外，还具有系统停机的另一个条件，即发生故障的组件总数。我们提出一种获得系统可靠性的方法。所提出的方法通过使用不依赖于系统大小的组合方程来获得可靠性。给出了一些数值示例来说明组件可靠性与系统可靠性之间的关系。

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  • 来源
    《Applied Mathematical Modelling》 |2010年第3期|531-538|共8页
  • 作者

    A.S. Habib; T. Yuge; R.O. Al-Seedy; S.I. Ammar;

  • 作者单位

    Department of Mathematics, Faculty of Science, Menoufia University, Menoufia 32511, Egypt;

    Department of Electrical Engineering, National Defense Academy, 1-10-20 Hashirimizu, Yokosuka 239-8686, Japan;

    Department of Mathematics, Faculty of Science, Menoufia University, Menoufia 32511, Egypt;

    Department of Mathematics, Faculty of Science, Menoufia University, Menoufia 32511, Egypt;

  • 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

    consecutive-k-out-of-n:F system; consecutive(r,s)-out-of-(m, n):F system; system reliability;

    机译：n：F系统连续k （m;n）：F系统连续（r;s）：F系统;系统可靠性;

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