Complexity International       /vol03/mitchdur/ © Copyright 1996     
Volume 03 Received: 
Accepted: 
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A 2-Dimensional Cellular Automaton of Traffic Flow with Simple Adaptive Routing

Mathew Mitchell & Bohdan Durnota

Abstract
     Although there has been interest in one-dimensional models of traffic flow, there has only relatively recently been an increased interest in two-dimensional CA models. These models have not taken into account sophisticated routing behaviour as vehicles move from origins to destinations. In this paper, we develop a two- dimensional cellular automaton (CA) as a simple model of traffic flow in two dimensions which includes adaptive route-changing behaviour. In this model, sites are either occupied by a vehicle or are empty. Vehicles have an associated origin and destination site on the lattice, and tend to move towards their destinations. The number of vehicles is kept constant. As a vehicle reaches its destination, a new vehicle with a random origin and destination is created. Updating of the CA occurs asynchronously. We show some results of a number of initial experiments which indicate the dynamics of traffic flow in this model under different car densities. Not only global, but also individual-based trip-related statistics are investigated.


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