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This paper considers the time evolution of a queue that is embedded in aPoisson point process of moving wireless interferers. The queue is driven by anexternal arrival process and is subject to a time-varying service process thatis a function of the SINR that it sees. Static configurations of interferersresult in an infinite queue workload with positive probability. In contrast, ageneric stability condition is established for the queue in the case whereinterferers possess any non-zero mobility that results in displacements thatare both independent across interferers and oblivious to interferer positions.The proof leverages the mixing property of the Poisson point process. Theeffect of an increase in mobility on queueing metrics is also studied. Convexordering tools are used to establish that faster moving interferers result in aqueue workload that is smaller for the increasing-convex stochastic order. As acorollary, mean workload and mean delay decrease as network mobility increases.This stochastic ordering as a function of mobility is explained by establishingpositive correlations between SINR level-crossing events at different timepoints, and by determining the autocorrelation function for interference andobserving that it decreases with increasing mobility. System behaviour isempirically analyzed using discrete-event simulation and the performance ofvarious mobility models is evaluated using heavy-traffic approximations.

How wireless queues benefit from motion: an analysis of the continuum between zero and infinite mobility