Skip to main content

Variational Inequality Models of Instantaneous Dynamic User-Optimal Route Choice Problems

  • Chapter
Dynamic Urban Transportation Network Models

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 417))

  • 144 Accesses

Abstract

In this chapter, we present several variational inequality (VI) models for instantaneous dynamic user-optimal route choice problems for a network with multiple origin-destination pairs. In Section 12.1, a route-time-based VI model is first proposed. The equivalence of the VI model with the route-time-based instantaneous DUO route choice conditions is demonstrated. In order to generalize this route-based model, travelers are stratified into several groups and a multi-group route-cost-based VI model is developed in Section 12.2.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Ran, B., Boyce, D.E. (1994). Variational Inequality Models of Instantaneous Dynamic User-Optimal Route Choice Problems. In: Dynamic Urban Transportation Network Models. Lecture Notes in Economics and Mathematical Systems, vol 417. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-00773-0_12

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-00773-0_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58360-8

  • Online ISBN: 978-3-662-00773-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics