Generating Highway Travel Times with a Large-Scale, Asymmetric User Equilibrium Assignment Model

An asymmetric, static user-equilibrium traffic assignment model with traffic-engineering based turning-specific link travel time functions is used to generate highway travel time functions for an 800 square km network. Specialized link delay functions for all intersection and roadway types occurring in the study network are adapted from the literature or developed. Conditions for the existence and uniqueness of the solution based on the theory of variational inequalities are checked. The network coding process and the implementation of the model are described. Results are presented and discussed. The model is found to converge to a stable solution and the solution obtained is close to the observed traffic conditions.

[1]  Huey-Kuo Chen,et al.  SUBREGIONAL ROUTE CHOICE MODELS WITH LINK TRAVEL TIMES REFLECTING INTERSECTION FLOWS. FINAL REPORT , 1989 .

[2]  G. Stewart Introduction to matrix computations , 1973 .

[3]  Mike Smith,et al.  The existence, uniqueness and stability of traffic equilibria , 1979 .

[4]  J.L. Schofer,et al.  Design and implementation of ADVANCE: The Illinois dynamic navigation and route guidance demonstration program , 1991, Vehicle Navigation and Information Systems Conference, 1991.

[5]  T. Koopmans,et al.  Studies in the Economics of Transportation. , 1956 .

[6]  S. Dafermos Relaxation Algorithms for the General Asymmetric Traffic Equilibrium Problem , 1982 .

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

[8]  Nagui M. Rouphail,et al.  SIMULTANEOUS OPTIMIZATION OF SIGNAL SETTINGS AND LEFT-TURN TREATMENTS , 1990 .

[9]  Claudio Meneguzzer IMPLEMENTATION AND EVALUATION OF AN ASYMMETRIC EQUILIBRIUM ROUTE CHOICE MODEL INCORPORATING INTERSECTION-RELATED TRAVEL TIMES , 1990 .

[10]  C. Fisk,et al.  Alternative Variational Inequality Formulations of the Network Equilibrium-Travel Choice Problem , 1983 .

[11]  Philip Wolfe,et al.  An algorithm for quadratic programming , 1956 .

[12]  R M Kimber,et al.  TRAFFIC QUEUES AND DELAYS AT ROAD JUNCTIONS , 1979 .

[13]  Osama M Sharaf-Eldien Hierarchical traffic flow optimization for congested networks , 1988 .

[14]  Anna Nagurney,et al.  Sensitivity analysis for the asymmetric network equilibrium problem , 1984, Math. Program..

[15]  C Fisk A TRANSPORTATION PLANNING MODEL FOR DETAILED TRAFFIC ANALYSES , 1978 .

[16]  Anna Nagurney,et al.  STABILITY AND SENSITIVITY ANALYSIS FOR THE GENERAL NETWORK EQUILIBRIUM-TRAVEL CHOICE MODEL , 1984 .

[17]  David E. Boyce,et al.  AN USER-OPTIMAL ROUTE CHOICE MODEL WITH ASYMMETRIC COST FUNCTIONS INCORPORATING INTERSECTION-RELATED TRAVEL TIMES. FINAL REPORT , 1990 .

[18]  Mike Smith Junction interactions and monotonicity in traffic assignment , 1982 .

[19]  Anna Nagurney,et al.  Comparative tests of multimodal traffic equilibrium methods , 1984 .

[20]  J. Wardrop ROAD PAPER. SOME THEORETICAL ASPECTS OF ROAD TRAFFIC RESEARCH. , 1952 .

[21]  Stella Dafermos,et al.  Traffic Equilibrium and Variational Inequalities , 1980 .

[22]  Giulio Erberto Cantarella,et al.  Control system design for an individual signalized junction , 1984 .

[23]  Anthony J Richardson A DELAY MODEL FOR MULTIWAY STOP-SIGN INTERSECTIONS , 1987 .

[24]  R. Akcelik Capacity of a shared lane , 1988 .

[25]  Patrick T. Harker,et al.  Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications , 1990, Math. Program..

[26]  M. Baucus Transportation Research Board , 1982 .

[27]  N Rouphail,et al.  OPTIMIZATION OF TRAFFIC SIGNAL CONTROLS WITHIN EQUILIBRIUM ROUTE CHOICE MODELS. FINAL REPORT , 1993 .

[28]  Larry J. LeBlanc,et al.  Methods for Combining Modal Split and Equilibrium Assignment Models , 1979 .

[29]  Michael Florian,et al.  An Application and Validation of Equilibrium Trip Assignment Methods , 1976 .