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1. S. Liu and J. Virtamo, Performance Analysis of Wireless Data Systems with a Finite Population of Mobile Users, in Proceedings of 19th International Teletraffic Congress (ITC-19), pp. 1295-1304, 2005 (bib)

   Abstract: In a recent paper [1] Bonald et al. explored the impact of mobility on the flow level performance of wireless data systems. In contrast to their model (referred to as the BBP model), which implicitly assumes an infinite user population, we present and study two finite user population models called the OCOF (One Customer One Flow) model and the OCMF (One Customer Multiple Flows) model. In the previous one, only one flow per user can be in progress at any time and consecutive flows are separated by a thinking time. In the latter model, each customer is assumed to generate flows as a Poisson process. As in [1], the performance is analyzed in two tractable regimes, quasistationary (QS) and fluid (FL) regimes, corresponding to infinitely slow and infinitely fast user motion, respectively. The flow throughput of the models in the two regimes is evaluated. The models are compared by a set of numerical examples. The results show that the performance of the BBP model is between the OCOF and OCMF models. The reasons for this are discussed. The numerical studies also demonstrate how the finite user population models approach the BBP model as the number of users grows.