Probability distribution of the inter-arrival time to cellular telephony channels

This paper is focused on the statistical analysis of the call arrival process in channels of mobile telephony access networks. The approach is fully empirical, and is based on actual activity data, collected from real base stations in a working mobile network. The arrival process of the merged "fresh" (new calls) and handover traffic is proved to be smoother than Poisson traffic. This conclusion can be applied when dimensioning the number of channels needed in a BS to achieve a targeted grade of service.