Bounds for increasing multi-state consecutive k-out-of-r-from-n: F system with equal components probabilities

被引：16

作者：

Radwan, Taha ^{[1
]}

Habib, A. ^{[1
]}

Alseedy, R. ^{[1
]}

Elsherbeny, A. ^{[1
]}

机构：

[1] Fac Sci, Dept Math, Shibin Al Kawm, El Menofia, Egypt

来源：

APPLIED MATHEMATICAL MODELLING | 2011年 / 35卷 / 05期

关键词：

Lower bound; Upper bound; Multi-state consecutive k-out-of-r-from-n: F system; Inclusion exclusion formula; BONFERRONI INEQUALITIES; OPTIMAL-ARRANGEMENT; RELIABILITY; EVENTS; UNION; LIMIT;

D O I：

10.1016/j.apm.2010.11.059

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The consecutive k-out-of-r-from-n: F system was generalized to multi-state case. This system consists of n linearly ordered components which are at state below j if and only if at least k(j) components out of any r consecutive are in state below j. In this paper we suggest bounds of increasing multi-state consecutive-k-out-of-r-from-n: F system (k1 <= k(2) <= ... <= km) by applying second order Boole-Bonferroni bounds and applying Hunter-Worsley upper bound. Also numerical results are given. The programs in V.B.6 of the algorithms are available upon request from the authors. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：2366 / 2373

页数：8

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