Network User Equilibrium with Elastic Demand: Formulation, Qualitative Analysis and Computation

TL;DR

This paper introduces a differential variational inequality model for dynamic network user equilibrium with elastic demand, analyzing its properties and providing algorithms and examples for solving it.

Contribution

It presents a novel differential variational inequality formulation for dynamic network user equilibrium with elastic demand, including qualitative analysis and solution algorithms.

Findings

The model captures elastic demand effects in dynamic network equilibrium.

Algorithms successfully compute equilibrium solutions.

Qualitative properties of the model are established.

Abstract

In this paper we present a differential variational inequality formulation of dynamic network user equilibrium with elastic travel demand. We discuss its qualitative properties and provide algorithms for and examples of its solution.