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The Increasing Failure Rate Property of Consecutive-k:-out-of-n Systems
Published online by Cambridge University Press: 27 July 2009
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.
- Type
- Research Article
- Information
- Probability in the Engineering and Informational Sciences , Volume 9 , Issue 2 , April 1995 , pp. 217 - 225
- Copyright
- Copyright © Cambridge University Press 1995
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