Elementary Analysis in Trip Distribution Modeling

by Siim Soot, Assoc. Prof.; Dept. of Geography, and Research Assoc., Urban Systems Lab., Coll. of Engrg., Univ. of Illinois at Chicago Circle, Chicago, Ill.,
Ashish K. Sen, Prof.; School of Urban Sciences, and Research Assoc., Urban Systems Lab., Coll. of Engrg., Univ. of Illinois at Chicago Circle, Chicago, Ill.,


Serial Information: Transportation Engineering Journal of ASCE, 1978, Vol. 104, Issue 6, Pg. 789-797


Document Type: Journal Paper

Abstract: A method for manually calibrating the gravity model using elementary analysis is described. Requisite for the method is an O-D matrix, which is first transformed to logarithms before column and row averages are subtracted, resulting in a residuals matrix. The same operation is performed in a matrix of distances yielding a distance residuals matrix. These two residuals are graphed to determine the friction term of the gravity model. This friction factor, computed for a sample from a suburban circumferential corridor, was applied to another sample. Using the gravity model, the O-D matrix is estimated in a straightforward, noniterative manner, yet they are remarkably similar to the actual trip matrix. The method is proposed as a useful trip distribution modeling and forecasting technique, whenever the study is relatively small and quick results are desired. Larger problems may use the same method but require computer analysis.

Subject Headings: Matrix (mathematics) | Trip distribution | Model analysis | Travel modes | Traffic models | Professional societies | Friction | Computer analysis

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