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A simple derivation of the waiting time distributions in a non-preemptive M/M/c queue with priorities

Author

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  • van Vianen, L.A.
  • Gabor, A.F.
  • van Ommeren, J.C.W.

Abstract

In this article we give a new derivation for the waiting time distributions in an M/M/c queue with multiple priorities and a common service rate by using elementary lattice paths counting. An advantage of the approach is that it does not require inversion of the Laplace-Stieltjes transform.

Suggested Citation

  • van Vianen, L.A. & Gabor, A.F. & van Ommeren, J.C.W., 2014. "A simple derivation of the waiting time distributions in a non-preemptive M/M/c queue with priorities," ERIM Report Series Research in Management ERS-2014-016-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    • Handle: RePEc:ems:eureri:77258
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    References listed on IDEAS

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    1. Alan Cobham, 1954. "Priority Assignment in Waiting Line Problems," Operations Research, INFORMS, vol. 2(1), pages 70-76, February.
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