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Optimal hierarchical system of a grid road network

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  • Masashi Miyagawa

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. Copyright Springer Science+Business Media, LLC 2009

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  • Masashi Miyagawa, 2009. "Optimal hierarchical system of a grid road network," Annals of Operations Research, Springer, vol. 172(1), pages 349-361, November.
    • Handle: RePEc:spr:annopr:v:172:y:2009:i:1:p:349-361:10.1007/s10479-009-0630-4
    DOI: 10.1007/s10479-009-0630-4
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    1. Anantaram Balakrishnan & Thomas L. Magnanti & Prakash Mirchandani, 1994. "Modeling and Heuristic Worst-Case Performance Analysis of the Two-Level Network Design Problem," Management Science, INFORMS, vol. 40(7), pages 846-867, July.
    2. Anantaram Balakrishnan & Thomas L. Magnanti & Prakash Mirchandani, 1994. "A Dual-Based Algorithm for Multi-Level Network Design," Management Science, INFORMS, vol. 40(5), pages 567-581, May.
    3. Current, John R. & ReVelle, Charles S. & Cohon, Jared L., 1986. "The hierarchical network design problem," European Journal of Operational Research, Elsevier, vol. 27(1), pages 57-66, October.
    4. John R. Current, 1988. "The Design of a Hierarchical Transportation Network with Transshipment Facilities," Transportation Science, INFORMS, vol. 22(4), pages 270-277, November.
    5. Campbell, James F., 1992. "Selecting routes to minimize urban travel time," Transportation Research Part B: Methodological, Elsevier, vol. 26(4), pages 261-274, August.
    6. Aldaihani, Majid M. & Quadrifoglio, Luca & Dessouky, Maged M. & Hall, Randolph, 2004. "Network design for a grid hybrid transit service," Transportation Research Part A: Policy and Practice, Elsevier, vol. 38(7), pages 511-530, August.
    7. Langevin, André & Mbaraga, Pontien & Campbell, James F., 1996. "Continuous approximation models in freight distribution: An overview," Transportation Research Part B: Methodological, Elsevier, vol. 30(3), pages 163-188, June.
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    Cited by:

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    3. Miyagawa, Masashi, 2011. "Hierarchical system of road networks with inward, outward, and through traffic," Journal of Transport Geography, Elsevier, vol. 19(4), pages 591-595.
    4. Masashi Miyagawa, 2014. "Optimal allocation of area in hierarchical road networks," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 53(2), pages 617-630, September.
    5. Woi Sok Oh & David J Yu & Rachata Muneepeerakul, 2021. "Efficiency-fairness trade-offs in evacuation management of urban floods: The effects of the shelter capacity and zone prioritization," PLOS ONE, Public Library of Science, vol. 16(6), pages 1-15, June.

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