Queueing analysis of mobile cellular networks considering wireless channel unreliability and resource insufficiency

A queueing model for the system level performance evaluation of mobile cellular networks considering both resource insufficiency and wireless channel unreliability is proposed and mathematically analyzed. The proposed mathematical approach is based on the use of simple call interruption processes to model the effect of wireless channel unreliability. More importantly, this paper develops a system level teletraffic model for the performance evaluation considering that channel holding times for new and handed off calls are general (but not necessary identically) distributed random variables. Additionally, an approximated one-dimensional recursive approach based on the well known Kauffman-Roberts formula is proposed for the case when the channel holding time variables can be adequately characterized by Hyper-Exponential distributions. Also, the case when the channel holding time variables are Mixed-Erlang distributed, a distribution having universal approximation capability, is analyzed. Thus, our teletraffic model allows obtaining more general, realistic, and easily computable analytical results.