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Convergence of Certain Traffic and Land-Use Equilibrium Assignment Models

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  • A J Horowitz

    (Civil Engineering and Mechanics Department (and Center for Urban Transportation Studies), University of Wisconsin—Milwaukee, PO Box 784, Milwaukee, Wl 53201, USA)

Abstract

In this paper are described and tested three heuristic algorithms for finding the solution to highly complex land-use models that incorporate the effects of traffic congestion. Two of the algorithms are modifications of Evans's algorithm for elastic-demand traffic assignment. The third algorithm is a variation of incremental assignment that is closely related to Frank—Wolfe decomposition. These algorithms are applied to an elaborate implementation of the Lowry—Garin model of land use. Tests of these algorithms show that they all converge toward a predetermined, precise solution, and they do so at a rate that is similar to Frank-Wolfe decomposition.

Suggested Citation

  • A J Horowitz, 1991. "Convergence of Certain Traffic and Land-Use Equilibrium Assignment Models," Environment and Planning A, , vol. 23(3), pages 371-383, March.
    • Handle: RePEc:sae:envira:v:23:y:1991:i:3:p:371-383
    DOI: 10.1068/a230371
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    References listed on IDEAS

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    1. David E. Boyce & Lars Lundqvist, 1987. "Network Equilibrium Models Of Urban Location And Travel Choices: Alternative Formulations For The Stockholm Region," Papers in Regional Science, Wiley Blackwell, vol. 61(1), pages 93-104, January.
    2. Kim, Tschangho John, 1986. "Modeling the density variations of urban land uses with transportation network congestion," Journal of Urban Economics, Elsevier, vol. 19(3), pages 264-276, May.
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