Forma, Vol. 23 (No. 2), pp. 35-41, 2008
Original Paper

Optimal Location of the Terminal Station of Rapid Transit System in a Circular City with Radial-Circular Network

Osamu Kurita1* and Ken-ichi Tanaka2

1Graduate School of Science and Technology, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama 223-8522, Japan
2Department of Systems Engineering, The University of Electro-Communications, 1-5-1 Chofugaoka, Chofu-shi, Tokyo 182-8585, Japan
*E-mail address:

(Received May 30, 2008; Accepted October 27, 2008)

Abstract. This paper presents a simple geometric model of rapid transit system which provides a direct access to a particular destination such as an airport located outside the city area. The time to access the airport is the combination of the time to the terminal station using intra-city transportation and the time to the airport using the rapid transit system. Two problems concerning the optimal location of the terminal station are considered: minimization of the average access time and maximization of the number of users accessible to the airport within a given time. In the minimization problem, the optimal location of the terminal station is explicitly derived as a function of the speed ratio of the intra-city transportation and the rapid transit system.

Keywords: Optimal Location, Rapid Transit System, Radial-Circular Network

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