Performance Modeling of Finite Sources Retrial Queue using Markov Regenerative Approach

Author:

Ikhlef Lyes

Abstract

We study a finite sources retrial queue with deterministic service times using an approach based on the theory of Markov regenerative process. A Deterministic Stochastic Petri Net DSPN model which copes with the complexity of this queue is given. For the steady state of this model, we construct the one-step transition probability matrix of Embedded Markov Chain (EMC) and the conversion matrix. We establish an algorithm based on the theoretic results obtained in order to compute efficiently various performance measures and to study the effect of system parameter’s on the characteristics of the M/D/1/N/N retrial queue.

Publisher

IntechOpen

Reference18 articles.

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