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On the M/G/2 queeing model

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  • Cohen, J.W.

Abstract

The M/G/2 queueing model with service time distribution a mixture of m negative exponential distributions is analysed. The starting point is the functional relation for the Laplace-Stieltjes transform of the stationary joint distribution of the workloads of the two servers. By means of Wiener-Hopf decompositions the solution is constructed and reduced to the solution of m linear equations of which the coefficients depend on the zeros of a polynome. Once this set of equations has been solved the moments of the waiting time distribution can be easily obtained. The Laplace-Stieltjes transform of the stationary waiting time distribution has been derived, it is an intricate expression.

Suggested Citation

  • Cohen, J.W., 1982. "On the M/G/2 queeing model," Stochastic Processes and their Applications, Elsevier, vol. 12(3), pages 231-248, May.
    • Handle: RePEc:eee:spapps:v:12:y:1982:i:3:p:231-248
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    Cited by:

    1. Feng, Wei & Adachi, Kouichi & Kowada, Masashi, 2002. "A two-queue and two-server model with a threshold-based control service policy," European Journal of Operational Research, Elsevier, vol. 137(3), pages 593-611, March.

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