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Mathematical Problems in Engineering
Volume 2015, Article ID 286490, 15 pages
Research Article

Modelling of Cellular Networks with Traffic Overflow

The Chair of Communication and Computer Networks, Poznań University of Technology, Polanka 3, 60-965 Poznań, Poland

Received 29 September 2014; Accepted 29 January 2015

Academic Editor: Jian Li

Copyright © 2015 Mariusz Głąbowski et al. 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.


The paper proposes a new method for modelling multiservice cellular networks with traffic overflow. The proposed method employs a model of Erlang’s Ideal Grading (EIG) with multiservice traffic and differentiated availability. The fundamental advantage of the proposed method, as compared to other relevant methods, is a major simplification in modelling systems with traffic overflow that results from the elimination of the necessity of a determination of the parameters of overflow traffic, that is, the average value and the variance. According to the proposed method, calculations in the overflow system can be reduced to calculations in a system composed of one grading only. The paper presents the method for determining availability in such a grading that models a system with traffic overflow. The results of analytical calculations were compared with the results of simulation experiments. The results of the research study confirm high accuracy of the proposed method.