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Limit of hazard rate function of coherent system with discrete life

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  • Jie Mi

Abstract

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

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  • Jie Mi, 2011. "Limit of hazard rate function of coherent system with discrete life," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 27(5), pages 551-556, September.
    • Handle: RePEc:wly:apsmbi:v:27:y:2011:i:5:p:551-556
    DOI: 10.1002/asmb.863
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