DIFFUSION-APPROXIMATION FOR AN M/G/M QUEUE

This study deals with the M/G/m queueing system in the steady-state. Applying the method of diffusion approximation, the author provides approximate formulas for the distributions of the number of customers, the waiting time and the busy period. A discussion is presented of the relation between the heavy traffic approximation and these approximations. In order to examine the accuracy of the approximate formulas, they are numerically tested on some examples.