Many commonly occurring natural systems are modeled with mathematical experessions and exhibit a certain stability. The inherent stability of these equations allows them to serve as the basis for engineering predictions. More complex models, such as those for modeling traffic flow, lac stability and thus require considerable care when used as a basis for prediction. In 1960, Gazis, Herman, and Rothery introduced their generalized car-follow (or GHR) equation for modeling traffic flow. Experience has shown that this equation may not be continuous for the entire range of input parameters. This paper describes chaotic behavior and briefly discussed the methodology of the algorithm used to detect its presence in the GHR equation. It also discussed two systems modeled with GHR equation and their associated chaotic properties.
Although particle hopping models were introduced into traffic science in the 1950s, their systematic use has only started recently. This paper shows c...
A set of very simple rules for driving behavior used to simulate roadway traffic gives realistic results. Because of its simplicity, it is easy to imp...
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United States Department of Transportation
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