Spatio-Temporal Traffic with Mobility in Poisson Networks

The traffic in mobile networks is fluctuating both spatially and temporally, and the statistics of traffic are essential to evaluate the network performance. Previous researches seldom focus on the spatio-temporal properties of wireless traffic with mobility. In this paper, by using stochastic geometry and queueing theory, we model the spatio-temporal properties of the traffic with mobility in wireless networks. We propose an analytical framework to evaluate the correlations between the complex traffic and the network performance in mobile Poisson networks. Specially, we first derive the conditional success probability and the queue non-empty probability. Then, the mean packet throughput for different mobility models and its bounds are derived, which capture the effect of traffic arrivals and packet retransmissions on the performance of mobile Poisson network. Numerical evaluations are conducted to gain insight for the design of wireless networks when the spatio-temporal fluctuating of traffic with mobility is considered.