Simulating Interference in D2D Link Using Fractal Random Walk Model for Elasticity Analysis In a mobile wireless network, the main impact to the dynamics of the received signal power in radio channel is made by the transceiversu0027 movement. The paper examines the influence of usersxe2x80x99 mobility model parameters on the radio channel quality metrics, which include signaltointerference ratio (SIR) and the stable connection period. The peculiarity of the article is the type of movement under investigationa fractal random walk. Studying the sensitivity of the quality metrics to the parameters of FokkerPlanck kinetic equation with fractional spatial derivatives the elasticity matrix was constructed. The numerical analysis demonstrated the significant influence of the fractal dimension in addition to the number of transceivers and diffusion coefficient.

Performance Sensitivity to the HighOrder Statistics of Time Interval Variables in Cellular Networks 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. In this paper, sensitivity of teletraffic performance metrics of mobile cellular networks to the first three standardized moments of both DT and IT is investigated in a comprehensive manner. Mathematical analysis is developed considering that both DT and IT are phasetype distributed random variables. This 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, for a high mobility scenario where DT is modeled by a hyperErlang distribution, we found that call forced termination probability decreases around 60% as the coefficient of variation (CoV) and skewness of DT simultaneously change from 1 to 20 and from 60 to 2, respectively. Also, numerical results confirm that as link unreliability increases the forced termination probability increases while both new call blocking and handoff failure probabilities decrease. Numerical results also indicate that for low values of skewness, performance metrics are highly sensitive to changes in the CoV of either the IT or DT. In general, it is observed that system performance is more sensitive to the statistics of the IT than to those of the DT. Such understanding of teletraffic engineering issues is vital for planning, designing, dimensioning, and optimizing mobile cellular networks.