Methods for Combining Modal Split and Equilibrium Assignment Models

Two ways for combining modal split and traffic assignment techniques into simultaneous mode and route choice models are discussed. In one model, users are assumed to choose their routes according to Wardrop's equilibrium principle and their modes according to mode choice functions of the difference in modal disutility. In the other model, a route and mode choice equilibrium in which no user can change his route or mode to lessen his general disutility is assumed. The advantages and disadvantages of each of these combined models are discussed. Efficient solution techniques for the models are presented; preliminary computational testing showed excellent results. Since these techniques require successive solutions of similar traffic assignment problems, they should be applicable to realistically large problems.

[1]  Morton Schneider,et al.  Access and Land Development , 1968 .

[2]  S. Dafermos.  The Traffic Assignment Problem for Multiclass-User Transportation Networks , 1972 .

[3]  Larry J. LeBlanc,et al.  AN EFFICIENT APPROACH TO SOLVING THE ROAD NETWORK EQUILIBRIUM TRAFFIC ASSIGNMENT PROBLEM. IN: THE AUTOMOBILE , 1975 .

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

[5]  Michael Florian,et al.  A Method for Computing Network Equilibrium with Elastic Demands , 1974 .

[6]  Earl R Ruiter.  IMPLEMENTATION OF OPERATIONAL NETWORK EQUILIBRIUM PROCEDURES , 1974 .

[7]  S. Warner,et al.  Stochastic choice of mode in urban travel : a study in binary choice , 1962 .

[8]  R. Quandt,et al.  THE DEMAND FOR ABSTRACT TRANSPORT MODES: THEORY AND MEASUREMENT. IN: URBAN TRANSPORT , 1966 .

[9]  P. Stopher.  A PROBABILITY MODEL OF TRAVEL MODE CHOICE FOR THE WORK JOURNEY , 1969 .

[10]  Brian Martin,et al.  A RESEARCH PROGRAM FOR COMPARISON OF TRAFFIC ASSIGNMENT TECHNIQUES , 1965 .

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

[12]  S. Nguyen.  An Algorithm for the Traffic Assignment Problem , 1974 .

[13]  C G Mitchell,et al.  MODAL CHOICE IN URBAN AREAS , 1971 .

[14]  Donald M Hill,et al.  DEVELOPMENT OF A MODEL FOR FORECASTING TRAVEL MODE CHOICE IN URBAN AREAS , 1963 .

[15]  Mustafa Abdulaal.  Mathematical programming methods for urban transportation networks , 1978 .

[16]  E. M. L. Beale,et al.  Nonlinear Programming: A Unified Approach. , 1970 .

[17]  Richard H Pratt,et al.  A UTILITARIAN THEORY OF TRAVEL MODE CHOICE , 1970 .

[18]  M. Florian.  A Traffic Equilibrium Model of Travel by Car and Public Transit Modes , 1977 .

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

[20]  M. Florian,et al.  A combined trip distribution modal split and trip assignment model , 1978 .

[21]  I Jeevanantham.  A NEW LOOK AT THE TRAFFIC ASSIGNMENT PROBLEM , 1972 .