QUASI-CONTINUOUS DYNAMIC TRAFFIC ASSIGNMENT MODEL

Several variants of combined dynamic travel models in discrete time with dynamic user equilibrium or system optimality as the assignment objective have been presented recently. This modeling approach is converted into quasi-continuous time, which enables two key model improvements : (a) traffic volumes are spread over time intervals in continuous time, allowing trips to be split among successive time intervals, and (b) the first-in first-out ordering of trips between all zone pairs is more precisely maintained. The means by which capacity losses are approximated on upstream links caused by spillback queueing from oversaturated links and accidents are also described. Trips are assumed to have scheduled departure times and variable arrival times, but notational variations allowing other model forms are briefly mentioned. Application of this model to a Denver-area network with comparison of results to observed speeds and volumes is described elsewhere.

[1]  T. B. Boffey.  Linear Network Optimization: Algorithms and Codes , 1994 .

[2]  J. G. Wardrop,et al.  Some Theoretical Aspects of Road Traffic Research , 1952 .

[3]  Edwin Roberts,et al.  Transportation networks , 1977, 1977 IEEE Conference on Decision and Control including the 16th Symposium on Adaptive Processes and A Special Symposium on Fuzzy Set Theory and Applications.

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

[5]  D E Kaufman,et al.  FASTEST PATHS IN TIME-DEPENDENT NETWORKS FOR IVHS APPLICATION , 1993 .

[6]  Bruce N Janson,et al.  Dynamic traffic assignment for urban road networks , 1991 .

[7]  Bruce N Janson,et al.  NETWORK DESIGN EFFECTS OF DYNAMIC TRAFFIC ASSIGNMENT , 1995 .

[8]  Bruce N Janson,et al.  DYNAMIC TRAFFIC ASSIGNMENT WITH ARRIVAL TIME COSTS. , 1993 .

[9]  Byung-Wook Wie,et al.  DYNAMIC ANALYSIS OF USER-OPTIMIZED NETWORK FLOWS WITH ELASTIC TRAVEL DEMAND , 1991 .

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

[11]  B. Wie.  AN APPLICATION OF OPTIMAL CONTROL THEORY TO DYNAMIC USER EQUILIBRIUM TRAFFIC ASSIGNMENT , 1989 .

[12]  B Wie,et al.  DYNAMIC SYSTEM OPTIMAL TRAFFIC ASSIGNMENT ON CONGESTED MULTIDESTINATION NETWORKS , 1990 .

[13]  B. W. Wie.  Dynamic User Optimal Traffic Assignment on Congested Multi-destination Network , 1990 .

[14]  Bruce N Janson,et al.  DYNAMIC TRAFFIC MODELING OF THE I-25/HOV CORRIDOR SOUTHEAST OF DENVER , 1995 .

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

[16]  Yosef Sheffi,et al.  Urban Transportation Networks: Equilibrium Analysis With Mathematical Programming Methods , 1985 .

[17]  Bruce N Janson.  CONVERGENT ALGORITHM FOR DYNAMIC TRAFFIC ASSIGNMENT , 1991 .

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