Existence and Properties of the State Operator in Dynamic User Equilibrium
Terry L. Friesz, Ke Han, Tao Yao

TL;DR
This paper investigates the analytical properties of the state operator within dynamic user equilibrium models, providing foundational insights for optimal control applications in transportation systems.
Contribution
It establishes and proves key analytical properties of the state operator in DUE models, advancing theoretical understanding in this area.
Findings
Proved analytical properties of the state operator in DUE models
Enhanced theoretical framework for dynamic user equilibrium
Supported potential for improved control strategies in transportation
Abstract
In this paper, we establish and prove analytical properties of the state operator embedded in an optimal control problem, in the context of dynamic user equilibrium (DUE) models (Friesz et al. 1993).
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Taxonomy
TopicsTransportation Planning and Optimization · Transportation and Mobility Innovations · Traffic control and management
