Mathematical Models of Road Travel Distances.

Abstract

Management science models often require estimates of distances between points in a road network based on the point coordinates. These estimates are typically derived using rectangular of Euclidean distance functions. The present investigation employs more general functions to estimate samples of urban and rural road distances. Proofs of conditions for the convexity of the functions are given. Statistical comparisons are made of prediction accuracy in order to establish relative merit. Sensitivity of the best parameters of the functions with respect to different geographical areas suggests the importance of using empirical distance functions. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1977
Accession Number
ADA044716

Entities

People

  • James G. Morris
  • Robert F. Love

Organizations

  • University of Wisconsin–Madison

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  • Sensitivity
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  • Geodesy
  • Operations Research
  • Statistical inference.