A Continuous Model of Traffic Flow
- 1 October 1977
- journal article
- Published by Wiley in Geographical Analysis
- Vol. 9 (4) , 346-363
- https://doi.org/10.1111/j.1538-4632.1977.tb00588.x
Abstract
Traffic flow over continuous space is analyzed in an abstract one‐dimensional city. A negative exponential attraction function, a quadratic exponential distribution of trip origins and a negative exponential distance‐decay function are combined, and expressions are derived for traffic flow between arbitrary intervals in the city. With appropriate choice of the trip‐origin function, the model may be applied to single and multipurpose trips. The resultant “contact fields” for individuals are briefly described, and the main results comprise algebraic approximations for aggregate flows between intervals. Numerical examples are given.Keywords
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