ACCESSIBILITY ENTROPY AND THE DISTRIBUTION AND ASSIGNMENT OF TRAFFIC

The entropy of the trip matrix is used as a broad measure of accessibility in a transportation system. An optimising model which minimises the average generalised trip cost, subject to constraints on the entropy etc, is shown to have as its solution the gravity model with exponential separation function. The relation to entropy-maximising formulations is discussed. The transportation problem of linear programming and a trivial solution are obtained as limiting cases. Extensions to the combined distribution and assignment problem, and a bus problem, are outlined. /TRRL/

• Corporate Authors:

  Linkoeping University, Sweden

  Department of Mathematics
  S-58183 Linkoeping,   Sweden 
• Authors:
  • Erlander, S
• Publication Date: 1976

Media Info

• Features: References;
• Pagination: 14 p.

Subject/Index Terms

• TRT Terms: Accessibility; Entropy (Communications); Gravity models; Mathematical models; Physical distribution; Traffic; Traffic assignment; Traffic distribution
• ITRD Terms: 9139: Accessibility; 9016: Distribution (gen); 6473: Mathematical model; 755: Traffic; 679: Traffic assignment
• Subject Areas: Freight Transportation; Highways; Operations and Traffic Management; I71: Traffic Theory;

Filing Info

• Accession Number: 00142172
• Record Type: Publication
• Source Agency: Swedish National Road and Traffic Research Institute
• Report/Paper Numbers: Lith-Mat-R-76-1 Monograph
• Files: ITRD, TRIS
• Created Date: Aug 4 1977 12:00AM