Abstract

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.

Highlights

  • New technologies used in building mobile networks evolve very quickly

  • The above is apparent in highly urbanized areas where GSM networks 900/1800, UMTS, and LTE cooperate with one another within cellular networks of one operator

  • In the existing cellular networks, the handover procedure can be executed between cells of the same system or between cells that belong to different systems (e.g., UMTS and GSM)

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Summary

Introduction

New technologies used in building mobile networks evolve very quickly. Not much long ago, UMTS networks (Universal Mobile Telecommunications System) [1, 2] and their extension HSPA (high speed packet access) [2, 3] were a novelty. In order to ensure optimum usage of resources of mobile networks that belong to a given operator, it is necessary to take advantage of various traffic management mechanisms [5] One of such mechanisms is traffic overflow performed with the application of connection transfer procedures (HandOver (HO)) [6,7,8]. In the case when GSM900 and GSM1800 networks coexist in one area, handover of connections is used to control the admission process for new calls in such a way as to make resources of the GSM1800 network to be used first Such a procedure results from the characteristics of both systems.

Review of Research
New Approach to Modelling of Overflow Systems
Numerical Results for Modelling Cellular Networks with Traffic Overflow
Conclusions
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