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working vacation interruption

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M/M/1 retrial queue with collisions and working vacationinterruption under N-policy
Li Tao, Zaiming Liu, Zhizhong Wang
Journal:

RAIRO - Operations Research / Volume 46 / Issue 4 / October 2012

Published online by Cambridge University Press:

10 December 2012, pp. 355-371

Print publication:

October 2012
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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.