On the existence of solutions to the dynamic user equilibrium problem

On the existence of solutions to the dynamic user equilibrium problem

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Article ID: iaor20013461
Country: United States
Volume: 34
Issue: 4
Start Page Number: 402
End Page Number: 414
Publication Date: Nov 2000
Journal: Transportation Science
Authors: ,
Abstract:

This paper is concerned with the existence of solutions to a dynamic network equilibrium problem modeled as an infinite dimensional variational inequality. Our results are based on properties of operators that map path flow departure rates to consistent time-dependent path flows and other link performance functions. The existence result requires the introduction of a novel concept that strengthens the familiar concept of First-In-First-Out.

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