MODELING VEHICULAR TRAFFIC USING THE DISCRETE-TIME MARKOVIAN ARRIVAL PROCESS

A discrete time Markovian Arrival Process which models platooned arriv als in road traffic is presented. It takes into account the bunching o f traffic and correlation between headways. Several examples involving different types of probability distributions for interplatoon and int raplatoon headways, and platoon, sizes are presented. An application o f the MAP to a traffic signal queue is carried out and a numerical exa mple is presented. The example confirmed the intuition that ignoring c orrelation in the arrival process results in, the underestimation of p erformance measures such as the mean queue length, especially at high traffic intensities.