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Analysis of R out of N systems with several repairmen, exponential life times and phase type repair times: An algorithmic approach

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  • Barron, Yonit
  • Frostig, Esther
  • Levikson, Benny

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  • Barron, Yonit & Frostig, Esther & Levikson, Benny, 2006. "Analysis of R out of N systems with several repairmen, exponential life times and phase type repair times: An algorithmic approach," European Journal of Operational Research, Elsevier, vol. 169(1), pages 202-225, February.
    • Handle: RePEc:eee:ejores:v:169:y:2006:i:1:p:202-225
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    References listed on IDEAS

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    1. Seelen, L. P., 1986. "An algorithm for Ph/Ph/c queues," European Journal of Operational Research, Elsevier, vol. 23(1), pages 118-127, January.
    2. van der Heijden, M. C. & Schornagel, A., 1988. "Interval uneffectiveness distribution for a k-out-of-n multistate reliability system with repair," European Journal of Operational Research, Elsevier, vol. 36(1), pages 66-77, July.
    3. Diaz, Angel & Fu, Michael C., 1997. "Models for multi-echelon repairable item inventory systems with limited repair capacity," European Journal of Operational Research, Elsevier, vol. 97(3), pages 480-492, March.
    4. Smith, M. A. J. & Dekker, R., 1997. "Preventive maintenance in a 1 out of n system: The uptime, downtime and costs," European Journal of Operational Research, Elsevier, vol. 99(3), pages 565-583, June.
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    Cited by:

    1. Liang, Zhenglin & Parlikad, Ajith Kumar, 2020. "Predictive group maintenance for multi-system multi-component networks," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
    2. Ibrahim Yusuf & Michał Mursztyn, 2016. "Probabilistic models for analyzing the availability and profit of a deteriorating 2-out-of-4 system," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 26(4), pages 91-100.
    3. Gao, Shan & Wang, Jinting, 2021. "Reliability and availability analysis of a retrial system with mixed standbys and an unreliable repair facility," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    4. Min Gong & Hanlin Liu & Rui Peng, 2020. "Redundancy allocation of mixed warm and cold standby components in repairable K-out-of-N systems," Journal of Risk and Reliability, , vol. 234(5), pages 696-707, October.
    5. Ruiz-Castro, Juan Eloy, 2020. "A complex multi-state k-out-of-n: G system with preventive maintenance and loss of units," Reliability Engineering and System Safety, Elsevier, vol. 197(C).
    6. Joby K. Jose & M. Drisya, 2020. "Time-dependent stress–strength reliability models based on phase type distribution," Computational Statistics, Springer, vol. 35(3), pages 1345-1371, September.
    7. Yonit Barron & Chananel Benshimol, 2024. "Emergency Supply Alternatives for a Storage Facility of a Repairable Multi-Component System," Mathematics, MDPI, vol. 12(17), pages 1-33, August.
    8. Wu, Hui & Li, Yan-Fu & Bérenguer, Christophe, 2020. "Optimal inspection and maintenance for a repairable k-out-of-n: G warm standby system," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    9. Khatab, A. & Nahas, N. & Nourelfath, M., 2009. "Availability of K-out-of-N:G systems with non-identical components subject to repair priorities," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 142-151.
    10. Yonit Barron, 2018. "Group maintenance policies for an R-out-of-N system with phase-type distribution," Annals of Operations Research, Springer, vol. 261(1), pages 79-105, February.

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