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Computing dynamic user equilibria for large-scale transportation networks

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  • Mansoureh Jeihani
  • Hanif Sherali
  • Antoine Hobeika

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

Suggested Citation

  • Mansoureh Jeihani & Hanif Sherali & Antoine Hobeika, 2006. "Computing dynamic user equilibria for large-scale transportation networks," Transportation, Springer, vol. 33(6), pages 589-604, November.
    • Handle: RePEc:kap:transp:v:33:y:2006:i:6:p:589-604
    DOI: 10.1007/s11116-006-7473-5
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    References listed on IDEAS

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    1. Sang Nguyen, 1974. "An Algorithm for the Traffic Assignment Problem," Transportation Science, INFORMS, vol. 8(3), pages 203-216, August.
    2. 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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    Cited by:

    1. Cheng, Liang-Chieh & Wang, Heng, 2013. "Modeling User Equilibrium in Microscopic Transportation Simulation," Journal of the Transportation Research Forum, Transportation Research Forum, vol. 52(2).

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