AN EQUILIBRIUM MODEL OF BUS AND CAR TRAVEL OVER A ROAD NETWORK

A NEW MODEL OF TRAFFIC FLOW AND TRAVEL DEMAND OVER A CONGESTED NETWORK IS DESCRIBED. ALL ROADS ARE SUBJECT TO DIFFERENT SPEED AND FLOW RELATIONS, AND THE TRAVELERS BY BUS AND CAR ARE ABLE TO TAKE ADVANTAGE OF ANY BETTER ROUTES FOR THEIR JOURNEY THAT THEY CAN FIND. THE PATTERN OF TRAVEL MOVEMENTS PRODUCED BY THIS PROCESS IS AN EQUILIBRIUM DISTRIBUTION WHERE ANY CHANGE IN COST, SPEED, OR TIME OVER ANY PART OF THE NETWORK WILL AFFECT THE WHOLE SYSTEM AND THE DEMAND FOR TRAVEL BETWEEN ALL THE POINTS ON THE NETWORK. A TECHNIQUE OF GENERAL APPLICABILITY HAS BEEN FOUND TO DETERMINE THESE PATTERNS OF FLOW AND DEMAND WITH A HIGH DEGREE OF CONSISTENCY FOR EVEN VERY SMALL CHANGES, OR OTHER CHANGES APPLIED: IT IS ALSO SHOWN THAT THE MORE CONVENTIONAL SEQUENCE OF GRAVITY MODEL ASSIGNMENT OF FLOW, WHICH PRODUCES STABLE RESULTS AFTER SEVERAL REPETITIONS, CAN PRODUCE INCORRECT RESULTS. THE TECHNIQUE IS PRESENTED THROUGH THE EXAMPLE OF ROAD PRICING APPLIED TO ROAD MOVEMENTS OVER A NETWORK: THE IMPORTANCE OF OBTAINING A UNIQUE EQUILIBRIUM, THE ASSIGNMENT IMPROVEMENTS, AND THE EFFECTS ON CAR AND BUS DEMAND AND MOVEMENTS ARE ALL DEMONSTRATED. (A).

• Supplemental Notes:
  • TRRL REPT LR 559
• Corporate Authors:

  Transport and Road Research Laboratory (TRRL)

  Wokingham, Berkshire  United Kingdom 
• Authors:
  • WIGAN, M R
  • Bamford, T J
• Publication Date: 1973

Language

• English

Media Info

• Features: Figures; References; Tables;
• Pagination: 43 p.

Subject/Index Terms

• TRT Terms: Bus transportation; Demand; Equilibrium (Mechanics); Mathematical models; Network analysis (Planning); Networks; Road pricing; Roads; Speed limits; Traffic assignment; Traffic congestion; Traffic flow; Transportation; Travel patterns; Travel time
• Uncontrolled Terms: Congestion; Network flows; Road networks; Transportation models
• Subject Areas: Operations and Traffic Management; Transportation (General);

Filing Info

• Accession Number: 00228476
• Record Type: Publication
• Source Agency: Transport and Road Research Laboratory (TRRL)
• Report/Paper Numbers: R & D Rept
• Files: TRIS, ATRI
• Created Date: Jul 16 1974 12:00AM