Abstract
The dynamic travel choice problems introduced in this book are exclusively formulated with the variational inequality approach. Variational inequalities were originally developed as tools for the study of certain classes of partial differential equations, such as those that arise in mechanics, defined over infinite-dimensional spaces. In contrast, this book focuses on finite-dimensional variational inequality problems that are better suited for the analysis of dynamic travel choice models. To familiarize the reader with the basic background of this topic, we present the mathematical theory necessary for modeling and solving both static and dynamic travel choice problems.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Chen, HK. (1999). Mathematical Background. In: Dynamic Travel Choice Models. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59980-4_2
Download citation
DOI: https://doi.org/10.1007/978-3-642-59980-4_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-64207-4
Online ISBN: 978-3-642-59980-4
eBook Packages: Springer Book Archive