Channel holding time in mobile cellular networks with heavy-tailed distributed cell dwell time

Channel holding time is fundamental for the performance analysis/evaluation of mobile cellular networks. Channel holding time depends on both call holding time and cell dwell time. In the literature, many assumptions on cell dwell time distribution have been done and different channel holding time characteristics have been obtained. However, to our knowledge, channel holding time statistics has not been obtained under the assumption of heavy-tailed distributed cell dwell time. In this paper, this is addressed by considering Pareto, log-normal or Weibull distributed cell dwell time. Additionally, under the assumption that call holding time is exponentially distributed and cell dwell time is Pareto distributed, novel mathematical expressions for the probability distribution of the channel holding time for new and handed off calls are derived. Numerical results show the extent by which channel holding time statistics are affected by the different parameters of the cell dwell time distribution.