AN M~X/G/1 RETRIAL QUEUE WITH UNRELIABLE SERVER AND VACATIONS

摘要

In this paper, we consider retrial queueing systems with batch arrivals in which the server is subject to controllable interruptions (called vacations) and random interruptions (breakdowns). No specific assumption is taken regarding probability distributions of parametric random variables. The purpose of this work is to show effect of above mentioned parameters (in particular retrial and breakdown parameters) upon main performance measures of interest. Next, we study some optimal control problems of vacation and retrial policies.