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Time-Dependent Solution of the Two-Server Queue Fed by General Arrival and Exponential Service Time Distributions

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  • K. L. Arora

    (Weapons Evaluation Group, Ministry of Defense, Delhi, India)

Abstract

In this paper the queuing system GI / M /2 has been studied by using the “Phase” method. The Laplace transform of the time-dependent probability generating function and the steady-state solutions have been obtained. When the arrival time distribution is exponential, the results correspond to those obtained by Saaty (Saaty, T. L. 1960. Time-dependent solution of the many-server Poisson queue. Opns Res. 8 755--772.) for the queuing process M / M /2.

Suggested Citation

  • K. L. Arora, 1962. "Time-Dependent Solution of the Two-Server Queue Fed by General Arrival and Exponential Service Time Distributions," Operations Research, INFORMS, vol. 10(3), pages 327-334, June.
    • Handle: RePEc:inm:oropre:v:10:y:1962:i:3:p:327-334
    DOI: 10.1287/opre.10.3.327
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