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A discrete-convex programming approach to the simultaneous optimization of land use and transportation

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  • Los, Marc

Abstract

Three design problems are discussed in this article. First, it is shown that the network design problem with congestion reduces to an all-or nothing traffic assignment problem under some assumptions on the congestion function and the investment cost function. Second, the land use design problem is formulated as an extension of the Koopmans-Beckmann problem and a heuristic is proposed to solve this problem. Third, it is shown that the seemingly more complex problem of designing jointly a land-use plan and a transportation network reduces to a pure land-use design problem. All that is needed to solve the joint optimization problem is a shortest path algorithm and a heuristic to solve the land use design problem. Computational experience is reported for each algorithm.

Suggested Citation

  • Los, Marc, 1979. "A discrete-convex programming approach to the simultaneous optimization of land use and transportation," Transportation Research Part B: Methodological, Elsevier, vol. 13(1), pages 33-48, March.
    • Handle: RePEc:eee:transb:v:13:y:1979:i:1:p:33-48
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    Cited by:

    1. W. Szeto & Y. Jiang & D. Wang & A. Sumalee, 2015. "A Sustainable Road Network Design Problem with Land Use Transportation Interaction over Time," Networks and Spatial Economics, Springer, vol. 15(3), pages 791-822, September.
    2. Sagarika Patowary & Banasri Sarma & Arup Kumar Sarma, 2019. "A Revision of OPTEMP-LS Model for Selecting Optimal EMP Combination for Minimizing Sediment and Water Yield from Hilly Urban Watersheds," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(4), pages 1249-1264, March.
    3. Michael B Lowry & Richard J Balling, 2009. "An Approach to Land-Use and Transportation Planning That Facilitates City and Region Cooperation," Environment and Planning B, , vol. 36(3), pages 487-504, June.
    4. Gallo, Mariano & D'Acierno, Luca & Montella, Bruno, 2010. "A meta-heuristic approach for solving the Urban Network Design Problem," European Journal of Operational Research, Elsevier, vol. 201(1), pages 144-157, February.
    5. P Gordon & J E Moore II, 1989. "Endogenizing the Rise and Fall of Urban Subcenters via Discrete Programming Models," Environment and Planning A, , vol. 21(9), pages 1195-1203, September.
    6. Mouhamadou A. M. T. Baldé & Serigne Gueye & Babacar M. Ndiaye, 2021. "A greedy evolutionary hybridization algorithm for the optimal network and quadratic assignment problem," Operational Research, Springer, vol. 21(3), pages 1663-1690, September.
    7. L D Hopkins, 1979. "Quadratic versus Linear Models for Land-Use Plan Design," Environment and Planning A, , vol. 11(3), pages 291-298, March.

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