PRECISE DETERMINATION OF EQUILIBRIUM IN TRAVEL FORECASTING PROBLEMS USING NUMERICAL OPTIMIZATION TECHNIQUES

IF IT IS ASSUMED THAT THE NUMBER OF TRIPS TO BE MADE WITHIN A REGION IS DEPENDENT ON THE LEVEL OF SERVICE DELIVERED BY THE TRANSPORTATION SYSTEM, THE PROBLEM OF DETERMINING EQUILIBRIUM BETWEEN SUPPLY AND DEMAND FOR A GIVEN REGION AND TRANSPORTATION SYSTEM IS FUNDAMENTAL TO TRAVEL FORECASTING. IN THIS PAPER, TWO NEW ALGORITHMS ARE PRESENTED FOR THE PRECISE DETERMINATION OF EQUILIBRIUM IN THE TRAVEL FORECASTING PROBLEM. A FUNCTION OF THE DEMAND AND SERVICE VARIABLES ASSOCIATED WITH A TRANSPORTATION SYSTEM IS INTRODUCED, AND IT IS SHOWN THAT THE MAXIMUM OF THIS FUNCTION OCCURS AT EQUILIBRIUM. BOTH A CONSTRAINED GRADIENT AND A MODIFIED NEWTON-RAPHSON ALGORITHM ARE THEN USED TO DETERMINE THE NETWORK FLOWS THAT MAXIMIZE THIS FUNCTION I.E., THE EQUILIBRIUM FLOWS. TWO SIMPLE EXAMPLES ARE CONSIDERED TO DEMONSTRATE THE USE OF THE ALGORITHMS. THE ADVANTAGE OF THE ALGORITHMS PRESENTED OVER PRESENT TECHNIQUES IS THAT EQUILIBRIUM IS OBTAINED PRECISELY RATHER THAN APPROXIMATELY AND COMPUTATION OF MINIMUM PATHS IS NOT REQUIRED IN THE ITERATIVE PROCESS. /AUTHOR/

Media Info

  • Media Type: Print
  • Features: Appendices; Figures; References; Tables;
  • Pagination: pp 239-252
  • Monograph Title: Choice of Travel Mode and Considerations in Travel Forecasting
  • Serial:

Subject/Index Terms

Filing Info

  • Accession Number: 00228161
  • Record Type: Publication
  • ISBN: 0309019869
  • Files: TRIS, TRB
  • Created Date: Apr 17 1972 12:00AM