Transient Analysis of Single Server Finite Capacity Markovian Queue with Multiple Exponential Working Vacation

Abstract

An  queueing model is considered. If the queue becomes empty, the server is allowed to take a working vacation where he provides service to the customer at a slower rate than usual. By using Laplace transform and generating function techniques time dependent system size probabilities are explicitly obtained. In order to predict the impact of various system indices numerical demonstrations are also provided.