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

Rui Ma (), Xuegang (Jeff) Ban () and Jong-Shi Pang ()
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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

Transportation Science, 2018, vol. 52, issue 3, 564-592

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.

Keywords: dynamic traffic assignment; dynamic user equilibrium; continuous-time formulations; differential variational inequality; differential complementarity system; queue spillbacks; double-queue model; point-queue model; DUE nodal model; travel time approximation (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:inm:ortrsc:v:52:y:2018:i:3:p:564-592

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