A discrete-time Geo/G/1 retrial queue with preemptive resume and collisions |
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| Authors: | Jinbiao Wu Zaiming Liu Yi Peng |
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| Institution: | 1. School of Mathematical Science and Computing Technology, Central South University, Changsha 410075, Hunan, PR China;2. College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, Hunan, PR China |
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| Abstract: | We consider a discrete-time Geo/G/1 retrial queue with preemptive resume, collisions of customers and general retrial times. We analyze the Markov chain underlying the considered queueing system and derive its ergodicity condition. Using generating function technique, the system state distribution as well as the orbit size and the system size distributions are studied. Some interesting and important performance measures are obtained. Besides, the stochastic decomposition property is investigated. Finally, some numerical examples are provided. |
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| Keywords: | Discrete-time retrial queues Preemptive resume Collision Markov chain |
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