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Optimal hierarchical system of a grid road network
Authors:Masashi Miyagawa
Institution:(1) Takasaki Sogo Consultant Co. Ltd., 3-7-5 Higashiaikawa, Kurume-Shi Fukuoka, 839-0809, Japan;(2) Faculty of Agriculture, Kyushu University, 6-10-1 Hakozaki, Higashi-Ku, Fukuoka-Shi Fukuoka, 812-8581, Japan;(3) Faculty of Agricultural Technology, Bogor Agricultural University, Kampus IPB Darmaga, Bogor, 16680, Indonesia;(4) Faculty of Agriculture, Saga University, Honjo-cho, Saga-Shi Saga, 840-8502, Japan
Abstract:This paper develops a simple analytical model for determining the hierarchical system of road networks. The model is based on a grid road network where roads are classified into three types according to road widths and travel speeds. We derive the optimal ratios of road areas that minimize the average and maximum travel time. Minimizing the average travel time provides an efficient solution, whereas minimizing the maximum travel time provides an equitable solution. Both of the solutions are expressed in terms of road widths and travel speeds. As an application of the grid network model, we evaluate the hierarchical system of the road network of Tokyo.
Keywords:
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