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Comparing limiting availabilities of a k-out-of-n : G system and a k-component series system with \((n-k)\) spare components

  • S.I.: Statistical Reliability Modeling and Optimization
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Abstract

The limiting availability of an ordinary k-out-of-n : G system can be improved simply by operating exactly k operable units while keeping any other operable units on cold standby. We establish this truth when there are different numbers of repair facilities, the repair time is exponential, and either each component has an exponential lifetime, or each component is made up of m identical sub-components that operate sequentially, with each sub-component having an exponential lifetime.

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Acknowledgements

We sincerely thank the participants of our seminar group for a lively discussion. We are grateful to two anonymous referees for their astute observations and helpful suggestions which led to an improved paper.

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  1. Department of Mathematical Sciences, Indiana University-Purdue University Indianapolis, 402 N Blackford Street, Indianapolis, IN, 46202, USA

    Jyotirmoy Sarkar & Ziting Tang

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  1. Jyotirmoy Sarkar
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  2. Ziting Tang
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Correspondence to Jyotirmoy Sarkar.

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Sarkar, J., Tang, Z. Comparing limiting availabilities of a k-out-of-n : G system and a k-component series system with \((n-k)\) spare components. Ann Oper Res 312, 389–409 (2022). https://doi.org/10.1007/s10479-019-03377-x

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  • DOI: https://doi.org/10.1007/s10479-019-03377-x

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