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Availability of a system with gamma life and exponential repair time under a perfect repair policy

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  • Sarkar, Jyotirmoy
  • Chaudhuri, Gopal

Abstract

Employing Fourier transform technique we determine the availability of a maintained system under continuous monitoring and with perfect repair policy. We obtain closed-form expressions for the availability when the system has gamma life distribution and the repair time is exponential.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:43:y:1999:i:2:p:189-196
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    Citations

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    Cited by:

    1. Huang, Kai & Mi, Jie, 2013. "Properties and computation of interval availability of system," Statistics & Probability Letters, Elsevier, vol. 83(5), pages 1388-1396.
    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. 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.
    4. Mi, Jie, 2006. "Limiting availability of system with non-identical lifetime distributions and non-identical repair time distributions," Statistics & Probability Letters, Elsevier, vol. 76(7), pages 729-736, April.
    5. Sebastián Román & José Romeo & Victor Salinas-Torres, 2014. "Bayesian estimation of the limiting availability in the presence of right-censored data," METRON, Springer;Sapienza Università di Roma, vol. 72(3), pages 247-267, October.
    6. Chatterjee, Debolina & Sarkar, Jyotirmoy, 2020. "Computing limiting average availability of a repairable system through discretization," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    7. Rui Jiang & Michael Kim & Viliam Makis, 2012. "A Bayesian model and numerical algorithm for CBM availability maximization," Annals of Operations Research, Springer, vol. 196(1), pages 333-348, July.
    8. 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.

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