Journal
ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH
Volume 31, Issue 2, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217595914400065
Keywords
Retrial queues; working vacation; vacation interruption; supplementary variable method; conditional stochastic decomposition
Categories
Funding
- National Natural Science Foundation of China [11171019, 11171179, 71390334]
- Program for New Century Excellent Talents in University [NCET-11-0568]
- China Postdoctoral Science Foundation Funded [2013M540041]
- Program for Science Research of Fuyang Normal College [2013FSKJ01ZD]
- U. S. National Science Foundation [NSF-1137732, NSF-1241626]
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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.
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