A Modified Cellular Automaton in Lagrange Form with Velocity Dependent Acceleration Rate

Road traffic micro simulations based on the individual motion of all the involvedvehicles are now recognized as an important tool to describe, understand and manage roadtraffic. With increasing computational power, simulating traffic in microscopic level bymeans of Cellular Automaton becomes a real possibility. Based on Nasch model of singlelane traffic flow, a modified Cellular Automaton traffic flow model is proposed to simulatehomogeneous and mixed type traffic flow. The model is developed with modified cell size,incorporating different acceleration characteristics depending upon the speed of eachindividual vehicle. Comparisons are made between Nasch model and modified model. It isobserved that slope of congested branch is changed for modified model as the vehicle thatare coming out of jam having dissimilar acceleration capabilities, therefore there is not asudden drop in throughput near critical density c .