Signature Based Analysis of m-Consecutive-k-out-of-n: F Systems with Exchangeable Components

被引：43

作者：

Eryilmaz, Serkan ^{[2
]}

Koutras, Markos V. ^{[1
]}

Triantafyllou, Ioannis S. ^{[1
]}

机构：

[1] Univ Piraeus, Dept Stat & Insurance Sci, Piraeus 18534, Greece

[2] Atilim Univ, Dept Ind Engn, TR-06836 Ankara, Turkey

来源：

NAVAL RESEARCH LOGISTICS | 2011年 / 58卷 / 04期

关键词：

m-consecutive-k-out-of-n: F system; Samaniego's signature; exchangeable distribution; order statistics; mean residual lifetime; stochastic ordering; COHERENT SYSTEMS; DEPENDENT COMPONENTS; RELIABILITY;

D O I：

10.1002/nav.20449

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this article, we study reliability properties of m-consecutive-k-out-of-n: F systems with exchangeable components. We deduce exact formulae and recurrence relations for the signature of the system. Closed form expressions for the survival function and the lifetime distribution as a mixture of the distribution of order statistics are established as well. These representations facilitate the computation of several reliability characteristics of the system for a given exchangeable joint distribution or survival function. Finally, we provide signature-based stochastic ordering results for the system's lifetime and investigate the IFR preservation property under the formulation of m-consecutive-k-out-of-n: F systems. (C) 2011 Wiley Periodicals, Inc. Naval Research Logistics 58: 344-354, 2011

引用

页码：344 / 354

页数：11

共 29 条

[1] GERT analysis of m-consecutive-k-out-of-n systems [J].

Agarwal, Manju ;

Sen, Kanwar ;

Mohan, Pooja .

IEEE TRANSACTIONS ON RELIABILITY, 2007, 56 (01) :26-34

[2]

[Anonymous], 2003, Optimal Reliability Modeling: Principles and Applications

[3]

BALAKRISHNAN N., 2002, Runs and Scans with Applications

[4] Signatures of indirect majority systems [J].

Boland, PJ .

JOURNAL OF APPLIED PROBABILITY, 2001, 38 (02) :597-603

[5] SURVEY OF RELIABILITY STUDIES OF CONSECUTIVE-K-OUT-OF-N-F AND RELATED SYSTEMS [J].

CHAO, MT ;

FU, JC ;

KOUTRAS, MV .

IEEE TRANSACTIONS ON RELIABILITY, 1995, 44 (01) :120-127

[6]

David H. A., 2003, ORDER STAT

[7] On optimal system designs in reliability-economics frameworks [J].

Dugas, Michael R. ;

Samaniego, Francisco J. .

NAVAL RESEARCH LOGISTICS, 2007, 54 (05) :568-582

[8] Mixture representations for the reliability of consecutive-k systems [J].

Eryilmaz, Serkan .

MATHEMATICAL AND COMPUTER MODELLING, 2010, 51 (5-6) :405-412

[9] Reliability properties of consecutive k-out-of-n systems of arbitrarily dependent components [J].

Eryilmaz, Serkan .

RELIABILITY ENGINEERING & SYSTEM SAFETY, 2009, 94 (02) :350-356

[10] Consecutive k-Within-m-Out-of-n:F System with Exchangeable Components [J].

Eryilmaz, Serkan ;

Kan, Cihangir ;

Akici, Fatih .

NAVAL RESEARCH LOGISTICS, 2009, 56 (06) :503-510

← 1 2 3 →