Journal
APPLIED MATHEMATICAL MODELLING
Volume 35, Issue 2, Pages 837-847Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2010.07.039
Keywords
Discrete-time retrial queues; Preemptive resume; Collision; Markov chain
Funding
- Graduate degree thesis innovation foundation of Central South University [3960-71131100003]
- National Natural Science Foundation of China [10971230]
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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. (C) 2010 Elsevier Inc. All rights reserved.
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