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A Link-Based Differential Complementarity System Formulation for Continuous-Time Dynamic User Equilibria with Queue Spillbacks

Author

Listed:
  • Rui Ma

    (Department of Civil and Environmental Engineering, University of California, Davis, Davis, California 95616)

  • Xuegang (Jeff) Ban

    (Department of Civil and Environmental Engineering, University of Washington, Seattle, Washington 98195)

  • Jong-Shi Pang

    (Department of Industrial and Systems Engineering, University of Southern California, Los Angeles, California 90089)

Abstract

This paper proposes a link-based continuous-time dynamic user equilibrium model for networks with single destinations. The model captures realistic queue spillbacks by applying the double-queue concept at the link level and developing a new nodal model that extends the link-level dynamics to the network level. The departure-time choice, route choice, and other equilibrium conditions are introduced to complete the model. The proposed model is a differential complementary system formulation with time-varying, state-dependent delays. Approximations on travel times are constructed to simplify the model. Numerical tests are developed to illustrate the application of this model.

Suggested Citation

  • Rui Ma & Xuegang (Jeff) Ban & Jong-Shi Pang, 2018. "A Link-Based Differential Complementarity System Formulation for Continuous-Time Dynamic User Equilibria with Queue Spillbacks," Transportation Science, INFORMS, vol. 52(3), pages 564-592, June.
    • Handle: RePEc:inm:ortrsc:v:52:y:2018:i:3:p:564-592
    DOI: 10.1287/trsc.2017.0752
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    References listed on IDEAS

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    3. Guo, Qiangqiang & Ban, Xuegang (Jeff), 2020. "Macroscopic fundamental diagram based perimeter control considering dynamic user equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 136(C), pages 87-109.
    4. Zhi-Yang Lin & S. C. Wong & Peng Zhang & Keechoo Choi, 2018. "A Predictive Continuum Dynamic User-Optimal Model for the Simultaneous Departure Time and Route Choice Problem in a Polycentric City," Service Science, INFORMS, vol. 52(6), pages 1496-1508, December.

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