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Journal of Applied Mathematics and Stochastic Analysis - Volume 2006 2006, Article ID 54359, 16 pages



epartment of Probability and Statistics, Faculty of Mathematics, University of Sciences and TechnologyHouary Boumediene, Algiers, Algeria

Faculty of Electronics and ComputerScience, University of Sciences and Technology Houary Boumediene, USTHB, BP 32 El-Alia, Algiers 16111, Algeria

Received 19 December 2004; Revised 22 November 2005; Accepted 22 November 2005

Copyright © 2006 Tewfik Kernane and Amar Aïssani. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We consider in this paper the stability of retrial queues with aversatile retrial policy. We obtain sufficient conditions for thestability by the strong coupling convergence to a stationaryergodic regime for various models of retrial queues including amodel with two types of customers, a model with breakdowns of theserver, a model with negative customers, and a model with batcharrivals. For all the models considered we assume that theservice times are general stationary ergodic and interarrivaland retrial times are i.i.d. sequences exponentiallydistributed. For the model with unreliable server we also assumethat the repair times are stationary and ergodic and theoccurrences of breakdowns follow a Poisson process.





Author: Tewfik Kernane and Amar Aïssani

Source: https://www.hindawi.com/



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