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In this paper, we present an analytical model to find the probability density function (PDF) of link and path duration in vehicular ad hoc networks (VANETs), assuming the distance headway to have lognormal distribution. We then analyze the impact of vehicle mobility and transmission range on the link duration PDF and mean path duration in VANETs. We consider the greedy forwarding strategy to forward message from one hop to the next. Our analytical and simulation results suggest that, the link duration PDF can be approximated as lognormal with appropriate parameterization. We present the Kolmogorov-Smirnov goodness-of-fit test results to justify this claim

Model for Path Duration in Vehicular Ad Hoc Networks under Greedy Forwarding Strategy