Abstract
In this paper, we present analytical models for the probability density function (PDF) of link life time in vehicular ad hoc networks (VANETs), formed on both single lane as well as multi lane highways. Assuming free flow traffic state and Gaussian distributed vehicle speed, we extensively investigate the impact of vehicle mobility, vehicle density and transmission range on the link life time PDF and the mean link life time in VANETs. Our analytical and simulation results suggest that in the free-flow traffic state, exponential distribution with appropriate parametrization is a good approximation for the link life time PDF. We perform the Kolmogorov---Smirnov goodness-of-fit test to ascertain the validity of this claim.
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