Author:
Cui Lirong,Hawkes Alan G.,Jalali Assad
Abstract
We prove Hwang and Yao's conjecture about failure of consecutive-k-out-of-n systems whose components have independent and identically distributed increasing failure rate (IFR) lifetimes, namely, that for each k ≥ 2 there exists nk such that for every n ≥ nk the system does not preserve IFR. For the cases k = 4 and 5, we present complete solutions. We present further conjectures.
Publisher
Cambridge University Press (CUP)
Subject
Industrial and Manufacturing Engineering,Management Science and Operations Research,Statistics, Probability and Uncertainty,Statistics and Probability
Cited by
5 articles.
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1. On the Closure of Aging Classes Under the Formation of Coherent Structures;International Journal of Reliability, Quality and Safety Engineering;2021-06-25
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5. The IFR property for consecutive-k-out-of-n:F systems;Statistics & Probability Letters;2002-10