Analytical Dynamic Traffic Assignment Models

The rapid development of intelligent transportation system technologies and the policy emphasis on their deployment have increased the importance of predictive dynamic network flow models, especially so-called dynamic network loading and dynamic traffic assignment models. In this chapter we provide a critical review of analytic models used in predicting time-varying urban network flows. Specifically, we examine and compare four types of dynamics used as the foundation of dynamic network models:

[1]  Malachy Carey,et al.  Optimal Time-Varying Flows on Congested Networks , 1987, Oper. Res..

[2]  Bin Ran,et al.  Dynamic Urban Transportation Network Models , 1994 .

[3]  Terry L. Friesz,et al.  A Variational Inequality Formulation of the Dynamic Network User Equilibrium Problem , 1993, Oper. Res..

[4]  Vittorio Astarita,et al.  Flow Propagation Description in Dynamic Network Loading Models , 1996 .

[5]  Malachy Carey.  Nonconvexity of the dynamic traffic assignment problem , 1992 .

[6]  Terry L. Friesz,et al.  Solving the Dynamic Network User Equilibrium Problem with State-Dependent Time Shifts , 2006 .

[7]  Patrice Marcotte,et al.  On the Existence of Solutions to the Dynamic User Equilibrium Problem , 2000, Transp. Sci..

[8]  Bin Ran,et al.  Dynamic Urban Transportation Network Models: Theory and Implications for Intelligent Vehicle-Highway Systems , 1994 .

[9]  Y. W. Xu,et al.  Advances in the Continuous Dynamic Network Loading Problem , 1996, Transp. Sci..

[10]  H. Lo.  A DYNAMIC TRAFFIC ASSIGNMENT FORMULATION THAT ENCAPSULATES THE CELL-TRANSMISSION MODEL , 1999 .

[11]  Bin Ran,et al.  A New Class of Instantaneous Dynamic User-Optimal Traffic Assignment Models , 1993, Oper. Res..

[12]  Malachy Carey,et al.  A Constraint Qualification for a Dynamic Traffic Assignment Model , 1986, Transp. Sci..

[13]  Terry L. Friesz,et al.  A COMPARISON OF SYSTEM OPTIMUM AND USER EQUILIBRIUM DYNAMIC TRAFFIC ASSIGNMENTS WITH SCHEDULE DELAYS , 1995 .

[14]  Michael Florian,et al.  The continuous dynamic network loading problem : A mathematical formulation and solution method , 1998 .

[15]  Terry L. Friesz,et al.  Dynamic Systems, Variational Inequalities and Control Theoretic Models for Predicting Time-Varying Urban Network Flows , 1996, Transp. Sci..

[16]  Vittorio Astarita,et al.  A CONTINUOUS TIME LINK MODEL FOR DYNAMIC NETWORK LOADING BASED ON TRAVEL TIME FUNCTION , 1996 .

[17]  C. Daganzo.  A finite difference approximation of the kinematic wave model of traffic flow , 1995 .

[18]  George L. Nemhauser,et al.  Optimality Conditions for a Dynamic Traffic Assignment Model , 1978 .

[19]  Deepak K. Merchant,et al.  A Model and an Algorithm for the Dynamic Traffic Assignment Problems , 1978 .

[20]  Terry L. Friesz,et al.  Dynamic Network Traffic Assignment Considered as a Continuous Time Optimal Control Problem , 1989, Oper. Res..

[21]  C. Daganzo.  THE CELL TRANSMISSION MODEL.. , 1994 .