OPTIMAL SPATIAL INTERACTION AND THE GRAVITY MODEL

The paper proposes extended use of optimizing models in transportation planning. An entropy constrained linear program for the trip distribution problem is formulated and shown to have the ordinary doubly constrained gravity model as its solution. Entropy is here used as a measure of interactivity, which is constrained to be at a proscribed level. In this way the variation present in the reference trip matrix is preserved. (The properties of entropy as a dispersion measure are shorthly discussed.) The detailed mathematics of the optimal solutions as well as of sensitivity and duality are given. Benefit measures are briefly discussed. Extensions to modal split and assignment are indicated. A utility approach to the trip distribution problem is shown to produce the same gravity type solutions. /TRRL/

• Corporate Authors:

  Linkoeping University, Sweden

  Department of Mathematics
  S-58183 Linkoeping,   Sweden 
• Authors:
  • Erlander, S
• Publication Date: 1979

Media Info

• Features: References;
• Pagination: 103 p.

Subject/Index Terms

• TRT Terms: Aquaplanes; Cross sections; Drainage; Dual mode transportation systems; Entropy (Communications); Gravity models; Gutters; Hydroplaning; Modal split; Multilane highways; Optimization; Runoff; Sensitivity; Traffic assignment; Transportation planning; Travel; Trip distribution
• Uncontrolled Terms: Longitudinal; Optimum; Two
• ITRD Terms: 9016: Distribution (gen); 690: Gravity model; 698: Journey; 675: Modal split; 679: Traffic assignment
• Subject Areas: Highways; Hydraulics and Hydrology; Operations and Traffic Management; Planning and Forecasting; I71: Traffic Theory;

Filing Info

• Accession Number: 00196970
• Record Type: Publication
• Source Agency: Swedish National Road and Transport Research Institute (VTI)
• Report/Paper Numbers: LITH-MAT-R-79-1 Monograph
• Files: ITRD, TRIS, ATRI
• Created Date: Oct 17 1979 12:00AM