Stochastic Geometry of Network of Randomly Distributed Moving Vehicles on a Highway

TL;DR

This paper models the statistical properties of vehicular networks on highways using stochastic geometry, deriving distributions of cluster sizes and connectivity metrics under realistic assumptions.

Contribution

It introduces a probabilistic framework for analyzing vehicle clustering and connectivity in VANETs on highways, with new derived distributions validated by simulations.

Findings

Derived distributions of cluster size and number of disconnected vehicles

Validated probabilistic models with realistic simulation parameters

Provided insights into network connectivity in highway VANETs

Abstract

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.