Forma, Vol. 18 (No. 3), pp. 165-186,, 2003
Original Paper

Time-Dependent Traffic Flow in a Rectangular City with Rectilinear Distance

Ken-ichi Tanaka and Osamu Kurita*

Graduate School of Science and Technology, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama 223-8522, Japan
*E-mail address:

(Received June 2, 2003; Accepted August 25, 2003)

Keywords: Time-Dependent Traffic Flow, Rectangular City, Rectilinear Distance

Abstract. This paper develops a method for deriving a time-dependent traffic flow over a rectangular city with a rectangular grid network, when a commuters' destination arrival time distribution is given by an arbitrary probability density function defined on a finite range of the time axis. The introduction of the time variable is a great extension of prior studies that deal only with the spatial distribution of traffic within a city. The model is designed for the morning peak period of commuter traffic during which the greatest overload of existing networks are observed. The results are useful in exploring the geometrical properties of rectangular grid networks and analyzing the impact of flexible working hours on commuter trip distributions.

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