On the number of failed components in a k-out-of-n system upon system failure when the lifetimes are discretely distributed

Katherine Davies and Dembińska, Anna

Reliability Engineering and System Safety, 2019, vol. 188, issue C, 47-61

Abstract: In this paper, we examine properties of k-out-of-n systems when the component lifetimes are discretely distributed. The primary focus is the random variable which represents the number of failed components upon system failure. For this variate we derive the probability mass function under the most general setting of possibly dependent and heterogeneous components. We also present conditional probabilities for this variable given some information about the time of system failure. In addition to these results, we show that, in the special case of series systems, this variable exhibits some aging properties, and we establish several characterizations of probability distributions based on such properties. For illustration, we provide three numerical examples.

Keywords: Reliability; Discrete lifetime distribution; k-out-of-n system; Order statistics; Characterization (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:188:y:2019:i:c:p:47-61

DOI: 10.1016/j.ress.2019.03.008

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