2019/09/10 by Florian Simatos, Simatos, Florian, Alain Simonian +1
Business, Management and Accounting · Computer Science · Engineering · #Advanced MIMO Systems Optimization #Advanced Queuing Theory Analysis #FOS: Computer and information sciences #FOS: Mathematics #Mobile Ad Hoc Networks #Networking and Internet Architecture (cs.NI) #Probability (math.PR)
paper · pdf · doi:10.48550/arxiv.1909.04383
openalex publication_date 2019/09/10 · openalex created_date 2019/09/19 · openalex updated_date 2026/07/28
We study a model of wireless networks where users move at speed s, which has the original feature of being defined through a fixed-point equation. Namely, we start from a two-class Processor-Sharing queue to model one representative cell of this network: class 1 users are not impatient (non-moving) and class 2 users are impatient (moving). This model has five parameters, and we study the case where one of these parameters is set as a function of the other four through a fixed-point equation. This fixed-point equation captures the fact that the considered cell is in balance with the rest of the network. This modeling approach allows us to alleviate some drawbacks of earlier models of mobile networks. Our main and surprising finding is that for this model, mobility drastically improves the heavy traffic behavior, going from the usual 1/(1-rho) scaling without mobility (i.e., when s=0) to a logarithmic scaling -log(1-rho) as soon as s>0. In the high load regime, this confirms that the performance of mobile system takes benefit from the spatial mobility of users. Other model extensions and complementary methodological approaches to this heavy traffic analysis are finally discussed.