STABILITY AND SENSITIVITY ANALYSIS FOR THE GENERAL NETWORK EQUILIBRIUM-TRAVEL CHOICE MODEL

We consider the combined asymmetric network equilibrium problem where the travel demand function may depend upon the travel cost and we introduce a new link formulation for this problem which has the desirable feature that uses directly the travel demand function (and not its inverse). Assuming that the travel cost and demand functions are monotone we first show that the equilibrium travel pattern depends continuously upon the travel cost and demand functions. We then focus on the delicate question of predicting the direction of the change of the travel pattern and the incurred travel costs and travel demands from changes in the travel cost and demand functions and attempt to elucidate certain counter intuitive phenomena such as "braess paradox". Our analysis depends crucially on the fact that the governing equilibrium conditions can be formulated as a variational inequality. (Author/TRRL)

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/isbn/9067640085
• Supplemental Notes:
  • Papers presented during the Ninth International Symposium on Transportation and Traffic Theory held in Delft the Netherlands, 11-13 July 1984.
• Corporate Authors:

  VNU Science Pres BV

  P.O. Box 2073
  Utrecht,   Netherlands 
• Authors:
  • Dafermos, S
  • Nagurney, Anna
• Conference:
  • Papers presented during the Ninth International Symposium on Transportation and Traffic Theory held in Delft the Netherlands, 11-13 July 1984.
• Publication Date: 1984

Media Info

• Features: References;
• Pagination: p. 217-231

Subject/Index Terms

• TRT Terms: Conferences; Costs; Demand; Mathematical models; Mechanical equilibrium; Mechanical stability; Mode choice; Networks; Origin and destination; Roads; Sensitivity; Sensitivity analysis; Stability analysis; Traffic; Transportation modes; Travel budgets; Travel costs; Travel demand; Travel time; Trip length
• Uncontrolled Terms: Change; Models; Road networks; Selection
• Old TRIS Terms: Modal selection
• ITRD Terms: 8525: Conference; 224: Cost; 285: Demand (econ); 7145: Equilibrium; 697: Journey time; 6473: Mathematical model; 687: Origin destination traffic; 9072: Selection; 5928: Sensitivity; 5930: Stability; 755: Traffic; 1145: Transport mode
• Subject Areas: Finance; Highways; Operations and Traffic Management; I71: Traffic Theory;

Filing Info

• Accession Number: 00392085
• Record Type: Publication
• Source Agency: Institute for Road Safety Research, SWOV
• ISBN: 90-6764-008-5
• Files: ITRD, TRIS
• Created Date: Apr 29 1985 12:00AM