Abstract
In this paper, we introduce a Markovian traffic model for cellular radio networks. The mobility of users is characterized by six parameters per cell which can be estimated from data available in the mobile switching centers. It is shown that the model is equivalent to a Jackson network with accordingly chosen parameters. The product form solution of the corresponding steady state distribution is explicitly determined. Taking advantage of the block structure of the routing matrix, the throughput of the network can be calculated by inverting a (in general sparsly occupied) matrix of order equal to the number of cells. As an important issue, blocking under fixed channel assignment is considered. Necessary and sufficient conditions on the parameters of the network are given ensure reversibility and hence product form of the equilibrium distribution. Furthermore, product form solutions are characterized without assuming reversibilty.
This work was supported by Deutsche Forschungsgemeinschaft grant no. Ma 1184/5-4.
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© 1999 Springer Science+Business Media New York
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Mathar, R., Hellebrandt, M. (1999). Mobility Modeling in Cellular Radio Networks, Product form Solutions and Blocking. In: Leung, K.K., Vojcic, B. (eds) Multiaccess, Mobility and Teletraffic for Wireless Communications: Volume 3. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5607-7_17
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DOI: https://doi.org/10.1007/978-1-4615-5607-7_17
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