Cost-Minimizing Choice Behavior in Transportation Planning

A Theoretical Framework for Logit Models

  • Sven B. Erlander

Part of the Advances in Spatial Science book series (ADVSPATIAL)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Cost-Minimizing Behavior: Constant Link Costs

    1. Front Matter
      Pages 32-32
    2. Sven Erlander
      Pages 33-61
    3. Sven Erlander
      Pages 63-86
    4. Sven Erlander
      Pages 87-108
  3. Equilibrium

    1. Front Matter
      Pages 124-124
    2. Sven Erlander
      Pages 125-141
    3. Sven Erlander
      Pages 143-148
  4. Back Matter
    Pages 149-153

About this book

Introduction

In the Administration building at Linkopi ¨ ng University we have one of Oscar Reutersvard’ ¨ s “Impossible Figures” in three dimensions. I call it “Perspectives of Science”. When viewed from a speci c point in space there is order and structure in the 3-dimensional gure. When viewed from other points there is disorder and no structure. If a speci c scienti c paradigm is used, there is order and structure; otherwise there is disorder and no structure. My perspective in Transportation Science has focused on understanding the mathematical structure and the logic underlying the choice probability models in common use. My book with N. F. Stewart on the Gravity model (Erlander and Stewart 1990), was written in this perspective. The present book stems from the same desire to understand underlying assumptions and structure. It investigateshow far a new way of de ning Cost-Minimizing Behavior can take us.Itturnsoutthatall commonlyusedchoiceprobabilitydistributionsoflogittype– log linear probability functions – follow from cost-minimizing behavior de ned in the new way. In addition some new nested models appear.

Keywords

Choice Probability Cost Minimizing Behavior Logit Models Spatial Interaction Transportation Planning transport

Authors and affiliations

  • Sven B. Erlander
    • 1
  1. 1.Fac. Technology, Dept. MathematicsLinköping UniversityLinköpingSweden

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-11911-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 2010
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Business and Economics
  • Print ISBN 978-3-642-11910-1
  • Online ISBN 978-3-642-11911-8
  • Series Print ISSN 1430-9602
  • About this book