Vehicle-to-vehicle connectivity on parallel roadways with large road separation

This paper studies vehicle multihop connectivity of vehicular ad hoc networks (VANETs) on two parallel roads. It complements our earlier studies by considering a road separation distance larger than 32L and considering signal blockage between roads, where L represents the transmission range. Assuming vehicles follow Poisson processes, we specifically derive exact formulas for the expectation, variance, and probability distribution of the information propagation distance. We further develop a closed form approximation for the expected distance. The analytical results are verified and compared with those from other headway distributions of varying coefficient of variation through Monte Carlo simulation.