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The expected duration of multi-hop paths can be incorporated at different layers in the protocol stack to improve the performance of mobile ad hoc networks. This paper presents two discrete time and discrete-space Markov chain based methods, DTMC-CA and DTMC-MFT, to estimate the duration of multi-hop road-based paths in Vehicular Ad hoc NETworks (VANET). The duration of such paths does not depend on individual nodes because packets can be forwarded by any vehicle located along the roads forming the path. DTMC-CA derives probabilistic measures based only on vehicle density for a traffic mobility model, which in this paper is the microscopic Cellular Automaton (CA) freeway traffic model.
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