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Computing dynamic user equilibria for large-scale transportation networks

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  • Mansoureh Jeihani
  • Hanif Sherali
  • Antoine Hobeika

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    Abstract

    In this paper, we present an approach for determining dynamic user equilibria. The method is suitable for disaggregated microscopic and mesoscopic simulation-based models. It is a modification of the convex-simplex method, which disposes with the line search step, and controls the subset of travelers to be re-routed at each step while updating the link travel times after each assignment. To guarantee finite termination, a suitable stopping criterion is adopted. The proposed method is implemented within TRANSIMS, the Transportation Analysis and Simulation System, as a two-stage process that employs a combined use of link performance functions and a microsimulator in order to design a framework suitable for application to real transportation systems. To demonstrate this capability, we apply the developed methodology to a large-scale network, Bignet, which is part of the transportation city network of Portland, Oregon; and a medium-scale network, Blacksburg, Virginia; and provide some comparative analyses. Our results exhibit that an improved distribution of travelers is obtained while consuming less than 17–33% of the effort required by the current version of TRANSIMS. Copyright Springer Science+Business Media B.V. 2006

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    File URL: http://hdl.handle.net/10.1007/s11116-006-7473-5
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    Bibliographic Info

    Article provided by Springer in its journal Transportation.

    Volume (Year): 33 (2006)
    Issue (Month): 6 (November)
    Pages: 589-604

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    Handle: RePEc:kap:transp:v:33:y:2006:i:6:p:589-604

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    Web page: http://www.springerlink.com/link.asp?id=103007

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    Keywords: Dynamic traffic assignment; Dynamic user equilibrium; TRANSIMS; Convex-simplex method;

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    1. Lin, Wei-Hua & Lo, Hong K., 2000. "Are the objective and solutions of dynamic user-equilibrium models always consistent?," Transportation Research Part A: Policy and Practice, Elsevier, vol. 34(2), pages 137-144, February.
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