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A Numerical Approach for Performance Evaluation of Cellular Mobile Networks with Channels Breakdowns

Authors:
Nawel Gharbi

Keywords: Cellular Mobile Networks; Repeated calls; Channels breakdowns; Infinitesimal generator; Performance Evaluation.

Abstract:
In this paper, we propose a numerical approach to study performance and reliability of cellular mobile networks, taking into account the repeated attempts of users whose call was refused due to the lack of available resources and random breakdowns of the base station channels, using the Generalized Stochastic Petri Nets (GSPNs) model as a support. In fact, one of the major drawbacks of this high-level formalism in performance evaluation of large networks is the state space explosion problem. Hence, the novelty of this investigation is the presentation of an approach which allows a direct computing of the infinitesimal generator describing the users behavior and channels allocation, without the generation of the reachability graph nor its reduction. In addition, we develop the formulas of the main stationary reliability and performance indices as a function of the network parameters, the stationary probabilities and independently of the reachability set markings.

Pages: 190 to 196

Copyright: Copyright (c) IARIA, 2013

Publication date: January 27, 2013

Published in: conference

ISSN: 2308-4413

ISBN: 978-1-61208-245-5

Location: Seville, Spain

Dates: from January 27, 2013 to February 1, 2013