Limit of hazard rate function of coherent system with discrete life | Zendy

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Limit of hazard rate function of coherent system with discrete life

Author(s) -

Mi Jie

Publication year - 2010

Publication title -

applied stochastic models in business and industry

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.413

H-Index - 40

eISSN - 1526-4025

pISSN - 1524-1904

DOI - 10.1002/asmb.863

Subject(s) - limit (mathematics) , path (computing) , limiting , hazard , function (biology) , hazard ratio , statistical physics , computer science , mathematics , statistics , physics , mathematical analysis , engineering , chemistry , confidence interval , organic chemistry , evolutionary biology , biology , programming language , mechanical engineering

In this paper we study the limiting behavior of the hazard rate function of a coherent system whose components are independent and have discrete lifetimes. The lifetime of the system can be viewed as the lifetime of a parallel system consisting of the series systems obtained from the minimal paths of . If we appropriately interpret the ‘strongest’ minimal path(s) of the system , it will be shown that the limit of the hazard rate functions of is the same as that of the ‘strongest’ path(s) of . The application of the main results are also provided. Copyright © 2010 John Wiley & Sons, Ltd.

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