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M/M/1 retrial queue with collisions and working vacationinterruption under N-policy

Published online by Cambridge University Press:  10 December 2012

Li Tao ,
Zaiming Liu  and
Zhizhong Wang
Li Tao
Affiliation:
School of Science, Shandong University of Technology, Zibo 255049, China. [email protected]
Zaiming Liu
Affiliation:
School of Mathematics, Central South University, Changsha 410075, China
Zhizhong Wang
Affiliation:
School of Mathematics, Central South University, Changsha 410075, China
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Abstract

Consider an M/M/1 retrial queue with collisions and working vacation interruption underN-policy. We use a quasi birth and death process to describe the considered system andderive a condition for the stability of the model. Using the matrix-analytic method, weobtain the stationary probability distribution and some performance measures. Furthermore,we prove the conditional stochastic decomposition for the queue length in the orbit.Finally, some numerical examples are presented.

Keywords

Retrialcollisionworking vacation interruptionN-policy
Type
Research Article
Information
RAIRO - Operations Research , Volume 46 , Issue 4 , October 2012 , pp. 355 - 371
Copyright
© EDP Sciences, ROADEF, SMAI, 2012

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References

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