Stochastic inequalities for M/G/1 retrial queues with vacations and constant retrial policy

Authors:
Mohamed Boualem;Natalia Djellab;Djamil AïSsani
Affiliations:
Laboratory of Modelization and Optimization of Systems (LAMOS), University of Béjaïa, Béjaïa 06000, Algeria;Department of Mathematics, University of Badji Mokhtar, Annaba 23000, Algeria;Laboratory of Modelization and Optimization of Systems (LAMOS), University of Béjaïa, Béjaïa 06000, Algeria
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2009

Citing 8
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Abstract

In this paper, we consider an M/G/1 retrial queue with vacations and we derive several stochastic comparison properties in the sense of strong stochastic ordering and convex ordering. The stochastic inequalities provide simple insensitive bounds for the stationary queue length distribution.