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Reliability analysis of k-out-of-n systems based on a grouping of components

Part of: Special processes Operations research and management science Distribution theory - Probability

Published online by Cambridge University Press:  07 August 2019

Weiyong Ding ,
Rui Fang  and
Peng Zhao
Weiyong Ding*
Affiliation:
Jiangsu Normal University
Rui Fang*
Affiliation:
Shantou University
Peng Zhao*
Affiliation:
Jiangsu Normal University
*
*Postal address: School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, China.
**Postal address: Department of Mathematics, Shantou University, Shantou 515063, China.
***Email address: [email protected]
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Abstract

In this paper we treat a two-stage grouping procedure of building a k-out-of-n system from several clusters of components. We use a static framework in which the component reliabilities are fixed. Under such a framework, we address the impact of the selecting strategies, the sampling probabilities, and the component reliabilities on the constructed system’s reliability. An interesting finding is that the level of component reliabilities could be identified as a decisive factor in determining how the selecting strategies and the component reliabilities affect the system reliability. The new results generalize and extend those established earlier in the literature such as Di Crescenzo and Pellerey (2011), Hazra and Nanda (2014), Navarro, Pellerey, and Di Crescenzo (2015), and Hazra, Finkelstein, and Cha (2017). Several Monte Carlo simulation experiments are provided to illustrate the theoretical results.

Keywords

k-out-of-n structurereliabilitytwo-stage sampling

MSC classification

Primary: 90B25: Reliability, availability, maintenance, inspection
Secondary: 60E15: Inequalities; stochastic orderings 60K10: Applications (reliability, demand theory, etc.)
Type
Original Article
Information
Advances in Applied Probability , Volume 51 , Issue 2 , June 2019 , pp. 339 - 357
Copyright
© Applied Probability Trust 2019 

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