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

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  • Jyotirmoy Sarkar

    (Indiana University-Purdue University Indianapolis)

  • Ziting Tang

    (Indiana University-Purdue University Indianapolis)

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.

Suggested Citation

  • Jyotirmoy Sarkar & Ziting Tang, 2022. "Comparing limiting availabilities of a k-out-of-n : G system and a k-component series system with $$(n-k)$$ ( n - k ) spare components," Annals of Operations Research, Springer, vol. 312(1), pages 389-409, May.
    • Handle: RePEc:spr:annopr:v:312:y:2022:i:1:d:10.1007_s10479-019-03377-x
    DOI: 10.1007/s10479-019-03377-x
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    References listed on IDEAS

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    1. Sarkar, Jyotirmoy & Li, Fang, 2006. "Limiting average availability of a system supported by several spares and several repair facilities," Statistics & Probability Letters, Elsevier, vol. 76(18), pages 1965-1974, December.
    2. de Smidt-Destombes, Karin S. & van der Heijden, Matthieu C. & van Harten, Aart, 2007. "Availability of k-out-of-N systems under block replacement sharing limited spares and repair capacity," International Journal of Production Economics, Elsevier, vol. 107(2), pages 404-421, June.
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