AN M/G/1 RETRIAL QUEUE WITH GENERAL RETRIAL TIMES, WORKING VACATIONS AND VACATION INTERRUPTION

Shan Gao (), Jinting Wang () and Wei Wayne Li ()
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Shan Gao: Department of Mathematics, Beijing Jiaotong University, Beijing 100044, P. R. China;
Jinting Wang: Department of Mathematics, Beijing Jiaotong University, Beijing 100044, P. R. China
Wei Wayne Li: Department of Computer Science, Texas Southern University, Houston, TX 77004, USA

Asia-Pacific Journal of Operational Research (APJOR), 2014, vol. 31, issue 02, 1-25

Abstract: We consider an M/G/1 retrial queue with general retrial times, and introduce working vacations and vacation interruption policy into the retrial queue. During the working vacation period, customers can be served at a lower rate. If there are customers in the system at a service completion instant, the vacation will be interrupted and the server will come back to the normal working level. Using supplementary variable method, we obtain the stationary probability distribution and some performance measures. Furthermore, we carry out the waiting time distribution and prove the conditional stochastic decomposition for the queue length in orbit. Finally, some numerical examples are presented.

Keywords: Retrial queues; working vacation; vacation interruption; supplementary variable method; conditional stochastic decomposition (search for similar items in EconPapers)
Date: 2014
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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DOI: 10.1142/S0217595914400065

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