Premium
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
Abstract 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.