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
收藏
页码：2366 / 2373
页数：8
相关论文
共 50 条
  • [31] r-CONSECUTIVE-k-OUT-OF-n: F SYSTEMS WITH DEPENDENT COMPONENTS
    Ghoraf, Namir
    INTERNATIONAL JOURNAL OF RELIABILITY QUALITY AND SAFETY ENGINEERING, 2007, 14 (04) : 399 - 410
  • [32] Reliability analysis of the k-out-of-n Multi-State System
    Zaitseva, E
    Kovalik, T
    Levashenko, V
    Matiasko, K
    SIVOES-MODEVA 2004, PROCEEDINGS, 2004, : 51 - 57
  • [33] Reliability analysis for a generalized sparse connection multi-state consecutive-k-out-of-n linear system
    Gao, Hongda
    Tu, Tengfei
    Qiu, Qingan
    RELIABILITY ENGINEERING & SYSTEM SAFETY, 2024, 246
  • [34] MDD-based performability analysis of multi-state linear consecutive-k-out-of-n: F systems
    Mo, Yuchang
    Xing, Liudong
    Cui, Lirong
    Si, Shubin
    RELIABILITY ENGINEERING & SYSTEM SAFETY, 2017, 166 : 124 - 131
  • [35] Study on the Efficiency of Multi-State k-out-of-n System
    Kim, Jihyun
    Nam, Hae Byur
    Cha, Ji Hwan
    KOREAN JOURNAL OF APPLIED STATISTICS, 2013, 26 (01) : 119 - 130
  • [36] Calculating Method for the System State Distributions of Generalized Multi-State k-out-of-n:F Systems
    Yamamoto, Hisashi
    Akiba, Tomoaki
    Nagatsuka, Hideki
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2009, E92A (07): : 1593 - 1599
  • [37] UPPER AND LOWER BOUNDS FOR THE RELIABILITY OF A CONSECUTIVE-K-OUT-OF-N-F-SYSTEM
    PAPASTAVRIDIS, S
    IEEE TRANSACTIONS ON RELIABILITY, 1986, 35 (05) : 607 - 610
  • [38] Bayesian Networks based approach to enhance GO methodology for reliability modeling of multi-state consecutive-k-out-of-n: F system
    Tian-yuan, Ye
    Lin-lin, Liu
    He-wei, Pang
    Yuan-zi, Zhou
    RELIABILITY ENGINEERING & SYSTEM SAFETY, 2023, 229
  • [39] m-consecutive-k-out-of-n: F system via k-consecutive-out-of-n: F system
    Boushaba, M
    Ghoraf, N
    EIGHTH ISSAT INTERNATIONAL CONFERENCE ON RELIABILITY AND QUALITY IN DESIGN, PROCEEDINGS, 2003, : 171 - 174
  • [40] Recursive formulas for the reliability of multi-state consecutive-k-out-of-n:G Systems
    Yamamoto, H
    Zuo, MJ
    Akiba, T
    Tian, ZG
    IEEE TRANSACTIONS ON RELIABILITY, 2006, 55 (01) : 98 - 104
12345