Monotonicity properties in various retrial queues and their applications |
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Authors: | Yang Woo Shin |
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Institution: | (1) Department of Statistics, Changwon National University, Changwon, Gyeongnam, 641-773, Korea |
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Abstract: | We consider several multi-server retrial queueing models with exponential retrial times that arise in the literature of retrial
queues. The effect of retrial rates on the behavior of the queue length process is investigated via sample path approach.
We show that the number of customers in orbit and in the system as a whole are monotonically changed if the retrial rates
in one system are bounded by the rates in second one. The monotonicity results are applied to show the convergence of generalized
truncated systems that have been widely used for approximating the stationary queue length distribution in retrial queues.
AMS subject classifications: Primary 60K25 |
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Keywords: | Retrial queue stochastic comparison tightness generalized truncated system |
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