Open Access
Translator Disclaimer
2014 M/M/1 Retrial Queue with Working Vacation Interruption and Feedback under N-Policy
Li Tao, Liyuan Zhang, Shan Gao
J. Appl. Math. 2014: 1-9 (2014). DOI: 10.1155/2014/414739


We consider an M/M/1 retrial queue with working vacations, vacation interruption, Bernoulli feedback, and N-policy simultaneously. During the working vacation period, customers can be served at a lower rate. Using the matrix-analytic method, we get the necessary and sufficient condition for the system to be stable. Furthermore, the stationary probability distribution and some performance measures are also derived. Moreover, we prove the conditional stochastic decomposition for the queue length in the orbit. Finally, we present some numerical examples and use the parabolic method to search the optimum value of service rate in working vacation period.


Download Citation

Li Tao. Liyuan Zhang. Shan Gao. "M/M/1 Retrial Queue with Working Vacation Interruption and Feedback under N-Policy." J. Appl. Math. 2014 1 - 9, 2014.


Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 06867687
MathSciNet: MR3212502
Digital Object Identifier: 10.1155/2014/414739

Rights: Copyright © 2014 Hindawi


Vol.2014 • 2014
Back to Top