An extended stochastic failure model for a system subject to random shocks

被引：14

作者：

Cha, Ji Hwan ^{[1
]}

Lee, Eui Yong ^{[2
]}

机构：

[1] Ewha Womans Univ, Dept Stat, Seoul 120750, South Korea

[2] Sookmyung Womens Univ, Dept Stat, Seoul 140742, South Korea

来源：

OPERATIONS RESEARCH LETTERS | 2010年 / 38卷 / 05期

关键词：

Extreme shock model; Poisson shock process; Failure rate increment; Baseline failure rate function; Compound failure rate function; Stochastic ordering; WEAR; ENVIRONMENT;

D O I：

10.1016/j.orl.2010.06.004

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, a stochastic failure model for a system subject to a random shock process is studied. It is assumed that a fatal shock results in an immediate system failure, whereas a non-fatal shock may increase the susceptibility of the system to failure. The lifetime distribution of the system and its failure rate function are derived, and the effect of environmental factors on the failure process of the system is also investigated. Lifetimes of systems operated under different environmental conditions are stochastically compared. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：468 / 473

页数：6

共 8 条

[1] IMPERFECT REPAIR [J].

BROWN, M ;

PROSCHAN, F .

JOURNAL OF APPLIED PROBABILITY, 1983, 20 (04) :851-859

[2]

Casella G., 2002, Statistical inference, V2nd edition

[3] Study of a stochastic failure model in a random environment [J].

Cha, Ji Hwan ;

Mi, Jie .

JOURNAL OF APPLIED PROBABILITY, 2007, 44 (01) :151-163

[4] Realistic variation of shock models [J].

Gut, A ;

Hüsler, J .

STATISTICS & PROBABILITY LETTERS, 2005, 74 (02) :187-204

[5] Availability of periodically inspected systems with markovian wear and shocks [J].

Kharoufeh, Jeffrey P. ;

Finkelstein, Daniel E. ;

Mixon, Dustin G. .

JOURNAL OF APPLIED PROBABILITY, 2006, 43 (02) :303-317

[6] On a Markov-Modulated Shock and Wear Process [J].

Kharoufeh, Jeffrey P. ;

Mixon, Dustin G. .

NAVAL RESEARCH LOGISTICS, 2009, 56 (06) :563-576

[7] Explicit results for wear processes in a Markovian environment [J].

Kharoufeh, JP .

OPERATIONS RESEARCH LETTERS, 2003, 31 (03) :237-244

[8] A CLASS OF CORRELATED CUMULATIVE SHOCK-MODELS [J].

SUMITA, U ;

SHANTHIKUMAR, JG .

ADVANCES IN APPLIED PROBABILITY, 1985, 17 (02) :347-366

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