Abstract
Based on Nasch model of single lane traffic flow, a modified Cellular Automaton traffic flow model incorporating s-t-s effect among vehicles given in Lagrange model for traffic flow is proposed to simulate homogeneous and mixed type traffic flow. The model is developed with modified cell size, incorporating different acceleration characteristics depending upon the speed of each individual vehicle. Comparisons are made between Nasch model and modified model. It is observed that slope of congested branch is changed for modified model due to variable acceleration rate.
Highlights
Traffic flow problems have attracted considerable attention of researchers because of manifold increase in traffic density in cities [1]
Effect of slow-to-start behavior among vehicles on a single lane road using one dimensional TCA model based on Nasch model is discussed in present paper
Cell size is reduced and velocity dependent acceleration rate is taken into account to simulate homogeneous and mixed type traffic flow
Summary
Traffic flow problems have attracted considerable attention of researchers because of manifold increase in traffic density in cities [1]. Macroscopic traffic simulation models incorporate analytical models that deal with average traffic stream characteristics such as flow, speed, density etc. On the other hand microscopic traffic simulation models consider the characteristics of individual vehicles, and their interactions with other vehicles in traffic stream. These models required a large computational power to deal with the realistic traffic flow. Cremer and Ludwing introduced a new type of microscopic model for vehicular traffic, which is capable of reproducing measured macroscopic behavior [2]. This is known as Cellular Automata (CA) model. Rule-184 CA model is known to represent the minimal model for movement of vehicles in one lane and shows a simple phase transition from free to congested state of traffic flow
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