Performance Analysis of GeomX/G/1 Queue with Exhaustive Service Rule and Multiple Vacations

摘要

In this paper, we present a new discrete-time GeomX/ G/1 queueing model with an exhaustive service rule and multiple vacations. This model is an extension of the Geom/G/1 queue with multiple vacations to handle the model having customer’s batch arrivals. We obtain the stochastic decomposition of the queue length and the probabilities for the system being in a busy state or in a vacation state.