On the Discrete-Time Queues under -Policy with Single and Multiple Vacations

Sung J. Kim, Nam K. Kim, Hyun-Min Park, Kyung Chul Chae and Dae-Eun Lim

Journal of Applied Mathematics, 2013, vol. 2013, 1-6

Abstract:

We consider the discrete-time 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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:587163

DOI: 10.1155/2013/587163

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