Time-Dependent Solution of the Two-Server Queue Fed by General Arrival and Exponential Service Time Distributions
Published Online:1 Jun 1962https://doi.org/10.1287/opre.10.3.327
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.
