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

作者：Ma Rui^*; Ban Xuegang; Pang Jong Shi

来源：Transportation Science, 2018, 52(3): 564-592.

DOI：10.1287/trsc.2017.0752

• 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

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.

• 出版日期2018-6