Performance Sensitivity to the High Orde

Cell dwell time (DT) and unencumbered interruption time (IT) are fundamental time interval variables in the teletraffic analysis for the performance evaluation of mobile cellular networks. Although a diverse set of general distributions has been proposed to model these time interval variables, the effect of their moments higher than the expected value on system performance has not been reported in the literature. This paper investigates the sensitivity of teletraffic performance metrics of mobile cellular networks to the first three standardized moments of both DT and IT in a comprehensive manner. Mathematical analysis is developed considering that both DT and IT are phase-type distributed random variables. The work includes substantial numerical results for quantifying the dependence of system level performance metrics to the values of the first three standardized moments of both DT and IT. For instance, in a high mobility scenario where DT is modeled by a hyper-Erlang distribution, we found that call forced termination probability decreases around 60% as the coefficient of variation and skewness of DT change simultaneously from 1 to 20 and from 60 to 2, respectively. Additionally, performance metrics are found to be more sensitive to the statistics of the IT than to those of the DT.