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This paper analyzes the performance of a vehicular ad hoc network (VANET)modeled as a Cox process, where the spatial layout of the roads is modeled by aPoisson line process (PLP) and the locations of nodes on each line are modeledas a 1D Poisson point process (PPP). For this setup, we characterize thesuccess probability of a typical link and the area spectral efficiency (ASE) ofthe network assuming slotted ALOHA as the channel access scheme. We thenconcretely establish that the success probability of a typical link in a VANETmodeled using a Cox process converges to that of a 1D and 2D PPP for someextreme values of the line and node densities. We also study the trends insuccess probability as a function of the system parameters and show that theoptimum transmission probability that maximizes the ASE for this Cox processmodel differs significantly from those of the relatively-simpler 1D and 2D PPPmodels used commonly in the literature to model vehicular networks.

Success Probability and Area Spectral Efficiency of a VANET Modeled as a Cox Process