Optimal Spatial Interaction and the Gravity Model

Optimal Spatial Interaction and the Gravity Model by Sven Svenaeus.

This book has grown out of a desire to explore the possibilities of using optimizing models in transportation planning. This approach has been followed throughout. Models which combine descriptive and optimizing elements are not treated. The gravity model is here studied as the solution to an optimi...

Full description

Saved in:
Bibliographic Details
Main Author: Svenaeus, Sven (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1980.
Edition:1st ed. 1980.
Series:Lecture Notes in Economics and Mathematical Systems, 173
Springer eBook Collection.
Subjects:
Regional economics.
Spatial economics.
Mathematical optimization.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 1 The Transportation Planning Process
  • 1.1. Goal formulation, generation and evaluation of alternatives
  • 1.2. Descriptive approaches
  • 1.3. Optimizing approaches
  • 1.4. Welfare theory and measures of efficiency
  • 1.5. The use of existing traffic patterns in the planning process
  • 1.6. Outline of the paper
  • I On Entropy
  • 2 Entropy as a Measure of Dispersion
  • 3 Some Comments upon Entropy Maximizing
  • II The Doubly Constrained Trip Distribution Problem
  • 4 A Model for the Constraints
  • 5 The Objective Function and Our Minimization Problem
  • 6 The Gravity Model as the Optimal Solution of the Entropy Constrained Aggregate Linear Program
  • 7 Sensitivity and the Dual Program
  • 8 Interactivity and Entropy
  • 9 Benefit Measures and the Gravity Model
  • III Modal Split and Assignment
  • 10 Modal Split
  • 11 Assignment to the Network
  • IV Maximizing Total Utility
  • 12 An Utility Approach to the Original Trip Distribution Problem
  • 13 Entropy Constrained Aggregate Linear Program
  • References.

Similar Items