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Limiting average availability of a system supported by several spares and several repair facilities

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  • Sarkar, Jyotirmoy
  • Li, Fang

Abstract

A one-unit repairable system, supported by r repair facilities and s spare units, fails when all units are down and are undergoing or awaiting repair. Under the perfect repair policy and instantaneous commencement of repair and installation to operation, the limiting average availability of the system is obtained when the lifetime has a density function and the repair time is exponentially distributed.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:76:y:2006:i:18:p:1965-1974
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    References listed on IDEAS

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    1. Sarkar, Jyotirmoy & Sarkar, Sahadeb, 2001. "Availability of a periodically inspected system supported by a spare unit, under perfect repair or perfect upgrade," Statistics & Probability Letters, Elsevier, vol. 53(2), pages 207-217, June.
    2. Biswas, Atanu & Sarkar, Jyotirmoy, 2000. "Availability of a system maintained through several imperfect repairs before a replacement or a perfect repair," Statistics & Probability Letters, Elsevier, vol. 50(2), pages 105-114, November.
    3. Sarkar, Jyotirmoy & Chaudhuri, Gopal, 1999. "Availability of a system with gamma life and exponential repair time under a perfect repair policy," Statistics & Probability Letters, Elsevier, vol. 43(2), pages 189-196, June.
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    Cited by:

    1. Vahid Andalib & Jyotirmoy Sarkar, 2022. "A System with Two Spare Units, Two Repair Facilities, and Two Types of Repairers," Mathematics, MDPI, vol. 10(6), pages 1-13, March.
    2. Wang, Naichao & Li, Mingyuan & Xiao, Boping & Ma, Lin, 2019. "Availability analysis of a general time distribution system with the consideration of maintenance and spares," Reliability Engineering and System Safety, Elsevier, vol. 192(C).
    3. Chatterjee, Debolina & Sarkar, Jyotirmoy, 2020. "Computing limiting average availability of a repairable system through discretization," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    4. 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.

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