Teletraffic Analysis Formulation Based on Channel Holding Time Statistics

In this paper, a teletraffic analysis method based on channel holding time statistics for new and handoff calls for system level performance evaluation of mobile cellular networks with link unreliability is developed. Firstly, mathematical expressions for the probability distribution function of channel holding time for new and handoff calls are derived considering different phase-type distributions for both cell dwell time and unencumbered call interruption time due to link unreliability. Then, moments of channel holding time for new and handoff calls are derived using its moment generating function. After that, distribution of channel holding time is approximated by different phase-type distribution functions using the moment matching method. Finally, a novel teletraffic analysis formulation based on this channel holding time approximation is developed. This teletraffic model allows us to reduce computational complexity compared to the exact teletraffic model, which is based on cell dwell time and unencumbered call interruption time statistics. Important system-level performance metrics are derived using this model. Our numerical results are in good agreement with both simulation results and analytical results obtained using the exact teletraffic model.