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Analysis of an M/M/N queue with Bernoulli service schedule

Author

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  • B. Krishna Kumar
  • S. Pavai Madheswari

Abstract

In this paper, a Markovian multiple server queue in which each server takes vacation according to Bernoulli scheduling service has been studied. For this system, the stationary queue length distribution and several performance characteristics are obtained using the matrix geometric solution technique. The system busy period and waiting time distribution have been discussed. The 1-limited service and exhaustive service with multiple vacations have been analysed as special cases. Extensive numerical illustrations are provided.

Suggested Citation

  • B. Krishna Kumar & S. Pavai Madheswari, 2009. "Analysis of an M/M/N queue with Bernoulli service schedule," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 5(1), pages 48-72.
    • Handle: RePEc:ids:ijores:v:5:y:2009:i:1:p:48-72
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    Cited by:

    1. Jie Liu & Jinting Wang, 2017. "Strategic joining rules in a single server Markovian queue with Bernoulli vacation," Operational Research, Springer, vol. 17(2), pages 413-434, July.

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