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Availability of a system maintained through several imperfect repairs before a replacement or a perfect repair

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  • Biswas, Atanu
  • Sarkar, Jyotirmoy

Abstract

Employing the Fourier transformation technique, we find the availability of a system maintained through several imperfect repairs before a replacement or a perfect repair is allowed. We obtain exact expressions for the availability when both lifetime and repair time distributions are exponential (with possibly different parameters). Comparison is made with the system availability under the perfect repair policy.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:50:y:2000:i:2:p:105-114
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    References listed on IDEAS

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    1. Richard Barlow & Larry Hunter, 1960. "Optimum Preventive Maintenance Policies," Operations Research, INFORMS, vol. 8(1), pages 90-100, February.
    2. Sheu, Shey-Huei, 1993. "A generalized model for determining optimal number of minimal repairs before replacement," European Journal of Operational Research, Elsevier, vol. 69(1), pages 38-49, August.
    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.
    4. 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. Huang, Kai & Mi, Jie, 2013. "Properties and computation of interval availability of system," Statistics & Probability Letters, Elsevier, vol. 83(5), pages 1388-1396.
    2. Zhou, Yu & Kou, Gang & Xiao, Hui & Peng, Yi & Alsaadi, Fawaz E., 2020. "Sequential imperfect preventive maintenance model with failure intensity reduction with an application to urban buses," Reliability Engineering and System Safety, Elsevier, vol. 198(C).
    3. Liao, Haitao & Elsayed, Elsayed A. & Chan, Ling-Yau, 2006. "Maintenance of continuously monitored degrading systems," European Journal of Operational Research, Elsevier, vol. 175(2), pages 821-835, December.
    4. 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.
    5. Chatterjee, Debolina & Sarkar, Jyotirmoy, 2020. "Computing limiting average availability of a repairable system through discretization," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    6. 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.
    7. Montoro-Cazorla, Delia & Pérez-Ocón, Rafael & del Carmen Segovia, Maria, 2009. "Replacement policy in a system under shocks following a Markovian arrival process," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 497-502.
    8. Montoro-Cazorla, Delia & Pérez-Ocón, Rafael, 2011. "Two shock and wear systems under repair standing a finite number of shocks," European Journal of Operational Research, Elsevier, vol. 214(2), pages 298-307, October.
    9. 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.

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