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Maximum entropy approach for an unreliable M X /G/1 queueing system with Bernoulli vacation, restricted admission and delayed phase repair under N-policy

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  • Madhu Jain
  • G.C. Sharma
  • Varsha Rani

Abstract

The present article deals with a bulk arrival queueing model with an unreliable server and modified Bernoulli vacation under N-policy. The repairman who restores the server requires a setup time before starting his job. The repair to the failed server is provided in K-phases where first phase of repair is essential and remaining (K-1) phases are optional. The service time, vacation time, setup time and repair time of each phase are assumed to be independent and general distributed. The queue size distribution and other performance indices are obtained by employing the generating function and supplementary variable techniques. Further, the principle of maximum entropy is used to derive the approximate formulae for the waiting time of the customers. We perform the sensitivity analysis in order to observe the effects of different system parameters on various performance indices.

Suggested Citation

  • Madhu Jain & G.C. Sharma & Varsha Rani, 2016. "Maximum entropy approach for an unreliable M X /G/1 queueing system with Bernoulli vacation, restricted admission and delayed phase repair under N-policy," International Journal of Services and Operations Management, Inderscience Enterprises Ltd, vol. 23(4), pages 407-442.
    • Handle: RePEc:ids:ijsoma:v:23:y:2016:i:4:p:407-442
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    Cited by:

    1. Madhu Jain & Sandeep Kaur & Parminder Singh, 2021. "Supplementary variable technique (SVT) for non-Markovian single server queue with service interruption (QSI)," Operational Research, Springer, vol. 21(4), pages 2203-2246, December.

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