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Limit of hazard rate function of coherent system with discrete life

โœ Scribed by Jie Mi

Book ID
101655035
Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
107 KB
Volume
27
Category
Article
ISSN
1524-1904

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โœฆ Synopsis

Abstract

In this paper we study the limiting behavior of the hazard rate function of a coherent system ๐’ฎ whose components are independent and have discrete lifetimes. The lifetime of the system ๐’ฎ can be viewed as the lifetime of a parallel system consisting of the series systems obtained from the minimal paths of ๐’ฎ. If we appropriately interpret the โ€˜strongestโ€™ minimal path(s) of the system ๐’ฎ, it will be shown that the limit of the hazard rate functions of ๐’ฎ is the same as that of the โ€˜strongestโ€™ path(s) of ๐’ฎ. The application of the main results are also provided. Copyright ยฉ 2010 John Wiley & Sons, Ltd.

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