Abstract
Performance models for mobile networks have been proposed in large numbers in the literature. The majority of those models were devoted to model voice and data traffic on GSM (2G) mobile networks with General Packet Radio Services (GPRS or 2.5G) . In most cases, these models were based on Markovian assumptions or studied using simulation. Considering 3G mobile systems, the picture is far not the same. The technology behind the 3G systems became much more complex and, therefore, analytical models became rather more difficult to develop. In this area, simulation models seem to be dominant. The aim of the paper is to present some models developed to provide analytical and numerical performance evaluation for 2.5G (GSM/GPRS) and 3G (UMTS) systems. Three models are presented from which two are for GPRS systems under different channel sharing schemes; namely the Complete Partitioning (CPS) and the Partial Sharing (PSS) schemes. The third is for interference limited UMTS cell. For these models, sophisticated analytical and numerical solutions are either presented or proposed. In the first model, a generalised solution based on the principle of maximum entropy (ME) is presented for the performance modelling and evaluation of a wireless GSM/GPRS cell supporting bursty multiple class traffic of voice calls and data packets under CPS cell capacity handling scheme.
In the second part, a queueing model is proposed for similar system but with PSS capacity handling scheme. The difficulty of this model rises from the fact that the actual data bit rate depends on the state of the system including the number of active voice calls. For this case, earlier numerical solutions based on Markov chains is briefly discussed. Furthermore, analytical solutions based on Markovian and general queueing models with random environments are proposed.
In the last part of the paper, a more sophisticated 3G mobile system is considered where the system capacity depends on the interference levels in the system which are influenced by a number of factors including the number of ongoing calls and their geographical distribution over the cell area. An approximation based on discretization of the distance is proposed in order to be able to present a model based on multi-dimensional Markov chain which is then described and solved using MOSEL package.
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Al-Begain, K. (2004). Performance Models for 2.5/3G Mobile Systems and Networks. In: Calzarossa, M.C., Gelenbe, E. (eds) Performance Tools and Applications to Networked Systems. MASCOTS 2003. Lecture Notes in Computer Science, vol 2965. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24663-3_7
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DOI: https://doi.org/10.1007/978-3-540-24663-3_7
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