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Availability of a periodically inspected system supported by a spare unit, under perfect repair or perfect upgrade

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  • Sarkar, Jyotirmoy
  • Sarkar, Sahadeb

Abstract

The exact availability and the limiting average availability of a periodically inspected system, supported by a spare and maintained with perfect repairs or upgrades, are obtained for arbitrary life-, repair- and upgrade-time distributions. Illustrative examples, graphs and table are presented.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:53:y:2001:i:2:p:207-217
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    References listed on IDEAS

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    1. 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.
    2. Philip J. Boland & Frank Proschan, 1982. "Periodic Replacement with Increasing Minimal Repair Costs at Failure," Operations Research, INFORMS, vol. 30(6), pages 1183-1189, December.
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    Cited by:

    1. Kenzin, Moshe & Frostig, Esther, 2009. "M out of n inspected systems subject to shocks in random environment," Reliability Engineering and System Safety, Elsevier, vol. 94(8), pages 1322-1330.
    2. 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.
    3. de Smidt-Destombes, Karin S. & van der Heijden, Matthieu C. & van Harten, Aart, 2006. "On the interaction between maintenance, spare part inventories and repair capacity for a k-out-of-N system with wear-out," European Journal of Operational Research, Elsevier, vol. 174(1), pages 182-200, October.
    4. Chatterjee, Debolina & Sarkar, Jyotirmoy, 2020. "Computing limiting average availability of a repairable system through discretization," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    5. R Pascual & D Louit & A K S Jardine, 2011. "Optimal inspection intervals for safety systems with partial inspections," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(12), pages 2051-2062, December.
    6. Van Horenbeek, Adriaan & Buré, Jasmine & Cattrysse, Dirk & Pintelon, Liliane & Vansteenwegen, Pieter, 2013. "Joint maintenance and inventory optimization systems: A review," International Journal of Production Economics, Elsevier, vol. 143(2), pages 499-508.

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