Séminaire Mathématique de Béjaia
Volume 16, Numéro 1, Pages 81-81
2018-12-31

Insensitive Bounds Of An M/g/1 Retrial Queue With Two Way Communication And Multiple Types Of Outgoing Calls



Authors : Alem Lala Maghnia . Boualem Mohamed . Aïssani Djamil .

Abstract

Using approximation methods is essential to deal with the complexity of communication protocols especially in a call center context, where the server not only serves incoming calls, but in idle time it makes outgoing calls to the outside. This type of systems with both incoming and outgoing calls is referred to as a two-way communication retrial queuing model. In this work, we use the stochastic comparison approach to investigate the monotonicity properties of an M/G/1 retrial queue with two way communication and multiples types of outgoing calls. We propose to bounds it by a new Markov chain which is easier to solve by using stochastic comparison approach.

Keywords

Retrial queues; Two way communication; Monotonicity; Stochastic comparison; Simulation.

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