A New Mobility Model and Its Application in the Channel Holding Time Characterization in PCS Network

In order to capture the essence of PCS network behavior, a good mobility model is necessary. This model must be good enough to fit field data and make the resulting queueing model still tractable. In this paper, we propose a new mobility model, called hyper-Erlang distribution model, which satisfies the above two requirements. We use this model to characterize the cell residence time and obtain analytical results for the channel holding time, the distribution of which is of primary importance in teletraffic analysis of PCS networks. These results can be used to facilitate the computation together with the use of the partial fractional expansion technique. It is expected that the mobility model and the analytical results for channel holding time presented in this paper will play an significant role for field data processing in PCS network design and performance evaluation. Keywords-PCS, Mobility, Call holding time, Cell residence time, Channel holding time.