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Steady State Solution of the Queue M/E k /r

Author

Listed:
  • J. O. Mayhugh

    (General Dynamics, Fort Worth Division)

  • R. E. Mccormick

    (General Dynamics, Fort Worth Division)

Abstract

The multiserver queue with Poisson arrivals and Erlangian, gamma or chi-square service time is solved for the steady state case. A general procedure, adaptable to computer programming, for writing the equations for the state probabilities is given. Generating functions for the time invariant state probabilities are found. A method of computing numerical solutions is described.

Suggested Citation

  • J. O. Mayhugh & R. E. Mccormick, 1968. "Steady State Solution of the Queue M/E k /r," Management Science, INFORMS, vol. 14(11), pages 692-712, July.
    • Handle: RePEc:inm:ormnsc:v:14:y:1968:i:11:p:692-712
    DOI: 10.1287/mnsc.14.11.692
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    Cited by:

    1. V Marianov & T B Boffey & R D Galvão, 2009. "Optimal location of multi-server congestible facilities operating as M/E r /m/N queues," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(5), pages 674-684, May.
    2. Adan, I. J. B. F. & van de Waarsenburg, W. A. & Wessels, J., 1996. "Analyzing EkErc queues," European Journal of Operational Research, Elsevier, vol. 92(1), pages 112-124, July.

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