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2013 On the Discrete-Time GeoX/G/1 Queues under N-Policy with Single and Multiple Vacations
Sung J. Kim, Nam K. Kim, Hyun-Min Park, Kyung Chul Chae, Dae-Eun Lim
J. Appl. Math. 2013: 1-6 (2013). DOI: 10.1155/2013/587163

Abstract

We consider the discrete-time GeoX/G/1 queue under N-policy with single and multiple vacations. In this queueing system, the server takes multiple vacations and a single vacation whenever the system becomes empty and begins to serve customers only if the queue length is at least a predetermined threshold value N. Using the well-known property of stochastic decomposition, we derive the stationary queue-length distributions for both vacation models in a simple and unified manner. In addition, we derive their busy as well as idle-period distributions. Some classical vacation models are considered as special cases.

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Sung J. Kim. Nam K. Kim. Hyun-Min Park. Kyung Chul Chae. Dae-Eun Lim. "On the Discrete-Time GeoX/G/1 Queues under N-Policy with Single and Multiple Vacations." J. Appl. Math. 2013 1 - 6, 2013. https://doi.org/10.1155/2013/587163

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950763
MathSciNet: MR3147889
Digital Object Identifier: 10.1155/2013/587163

Rights: Copyright © 2013 Hindawi

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