Study on the Queue-Length Distribution in Queue with Working Vacations

Chuanyi Luo, Jiangyi Li and Yinghui Tang

Discrete Dynamics in Nature and Society, 2015, vol. 2015, 1-15

Abstract:

This paper analyzes a finite buffer size discrete-time queue with multiple working vacations and different input rate. Using supplementary variable technique and embedded Markov chain method, the queue-length distribution solution in the form of formula at arbitrary epoch is obtained. Some performance measures associated with operating cost are also discussed based on the obtained queue-length distribution. Then, several numerical experiments follow to demonstrate the effectiveness of the obtained formulae. Finally, a state-dependent operating cost function is constructed to model an express logistics service center. Regarding the service rate during working vacation as a control variable, the optimization analysis on the cost function is carried out by using parabolic method.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:160697

DOI: 10.1155/2015/160697

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