The discrete-time GI/Geo/1 queue with multiple vacations

The discrete-time GI/Geo/1 queue with multiple vacations

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Article ID: iaor20041300
Country: Netherlands
Volume: 40
Issue: 3
Start Page Number: 283
End Page Number: 294
Publication Date: Apr 2002
Journal: Queueing Systems
Authors: ,
Keywords: GI/G/1 queues, vacation models
Abstract:

We study a discrete-time GI/Geo/1 queue with server vacations. In this queueing system, the server takes vacations when the system does not have any waiting customers at a service completion instant or a vacation completion instant. This type of discrete-time queueing model has potential applications in computer or telecommunication network systems. Using matrix-geometric method, we obtain the explicit expressions for the stationary distributions of queue length and waiting time and demonstrate the conditional stochastic decomposition property of the queue length and waiting time in this system.

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