A Numerical Analysis of the M/G/1/N Queue with Vacations

In this paper we discuss the applicability of a computational approach based on a Taylor series expansion for the numerical evaluation of the M/G/1/N queueing model with, so called, working vacations and vacation interruptions. Specifically, we develop the performance measures of the considered system into a Taylor series with respect to the vacation parameter. Our objective is to understand how the vacation rate affects the system performance. Numerical results are carried out to illustrate the efficiency of our approach.