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Advances in Operations Research
Volume 2016, Article ID 4538031, 9 pages
Research Article

Performance of an M/M/1 Retrial Queue with Working Vacation Interruption and Classical Retrial Policy

1School of Science, Shandong University of Technology, Zibo 255049, China
2School of Business, Shandong University of Technology, Zibo 255049, China
3School of Mathematics and Statistics, Fuyang Normal College, Fuyang 236037, China

Received 8 December 2015; Revised 30 April 2016; Accepted 5 May 2016

Academic Editor: Yi-Kuei Lin

Copyright © 2016 Tao Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


An M/M/1 retrial queue with working vacation interruption is considered. Upon the arrival of a customer, if the server is busy, it would join the orbit of infinite size. The customers in the orbit will try for service one by one when the server is idle under the classical retrial policy with retrial rate , where is the size of the orbit. During a working vacation period, if there are customers in the system at a service completion instant, the vacation will be interrupted. Under the stable condition, the probability generating functions of the number of customers in the orbit are obtained. Various system performance measures are also developed. Finally, some numerical examples and cost optimization analysis are presented.