Optimal hierarchical system of a grid road network |
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Authors: | Masashi Miyagawa |
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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 |
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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. |
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