2020/10/22 by Nithin S. Ramesan, François Baccelli, Ramesan, Nithin S. +1
Business, Management and Accounting · Computer Science · Engineering · #Advanced MIMO Systems Optimization #Advanced Queuing Theory Analysis #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Mobile Ad Hoc Networks #Networking and Internet Architecture (cs.NI) #Probability (math.PR)
paper · pdf · doi:10.48550/arxiv.2010.11749
openalex publication_date 2020/10/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper considers the time evolution of a queue that is embedded in a\nPoisson point process of moving wireless interferers. The queue is driven by an\nexternal arrival process and is subject to a time-varying service process that\nis a function of the SINR that it sees. Static configurations of interferers\nresult in an infinite queue workload with positive probability. In contrast, a\ngeneric stability condition is established for the queue in the case where\ninterferers possess any non-zero mobility that results in displacements that\nare both independent across interferers and oblivious to interferer positions.\nThe proof leverages the mixing property of the Poisson point process. The\neffect of an increase in mobility on queueing metrics is also studied. Convex\nordering tools are used to establish that faster moving interferers result in a\nqueue workload that is smaller for the increasing-convex stochastic order. As a\ncorollary, mean workload and mean delay decrease as network mobility increases.\nThis stochastic ordering as a function of mobility is explained by establishing\npositive correlations between SINR level-crossing events at different time\npoints, and by determining the autocorrelation function for interference and\nobserving that it decreases with increasing mobility. System behaviour is\nempirically analyzed using discrete-event simulation and the performance of\nvarious mobility models is evaluated using heavy-traffic approximations.\n