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Stochastic geometry of network of randomly distributed moving vehicles on a highway
Author(s) -
Dubosarskii Gleb,
Primak Serguei,
Wang Xianbin
Publication year - 2019
Publication title -
international journal of communication systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.344
H-Index - 49
eISSN - 1099-1131
pISSN - 1074-5351
DOI - 10.1002/dac.4277
Subject(s) - computer science , probabilistic logic , stochastic geometry , cluster (spacecraft) , wireless ad hoc network , vehicular ad hoc network , statistical model , distribution (mathematics) , rayleigh fading , fading , statistical physics , distributed computing , topology (electrical circuits) , computer network , telecommunications , wireless , artificial intelligence , mathematics , statistics , mathematical analysis , physics , channel (broadcasting) , combinatorics
Summary Vehicular ad hoc networks (VANETs) have become an extensively studied topic in contemporary research. One of the fundamental problems that has arisen in such research is understanding the network statistical properties, such as the cluster number distribution and the cluster size distribution. In this paper, we analyze these characteristics in the case in which vehicles are located on a straight road. Assuming the Rayleigh fading model and a probabilistic model of intervehicle distance, we derive probabilistic distributions of the aforementioned connectivity characteristics, as well as distributions of the biggest cluster and the number of disconnected vehicles. All of the results are confirmed by simulations carried out for the realistic values of parameters.