Teletraffic Model for the Performance Evaluation of Cellular Networks with Hyper-Erlang Distributed Cell Dwell Time

Abstract-In this paper, a teletraffic model to analyze wireless mobile cellular networks with hyper-Erlang distributed cell dwell time is developed. We demonstrate that the residual cell dwell time is also hyper-Erlang distributed with a greater number of stages. More important, it is shown that the phases on each stage of the hyper-Erlang distributed cell dwell and residual cell dwell times have the same mean permanence time. This fact allows us to make our teletraffic model computationally tractable by keeping track in a single state variable all the calls (new and handed off) in a phase (of any stage) with both the same mean permanence time and order within the stages. For this feature, it is also shown that the, so called, global cell dwell time (for new and handoff calls) can be represented by a Coxian model. This Coxian model can be the mixture of Coxian probability distributions. The teletraffic model proposed in this paper represents a step toward the development of a general, analytical, and computationally tractable modelling tool for the performance evaluation of mobile wireless communication networks under more realistic considerations.