Side-Constrained Dynamic Traffic Equilibria

• 成果类型: Article
• 署名作者: Graf, Lukas; Harks, Tobias
• 署名单位: University of Passau
• 刊物名称: OPERATIONS RESEARCH
• ISSN/ISSBN: 0030-364X
• DOI: 10.1287/opre.2023.0577
• 发表日期: 2024
• 页码: 2279-2301
• 关键词: quasi-variational inequalities; user equilibrium; assignment problem; EXISTENCE; MODEL; time

摘要

We study dynamic traffic assignment with side constraints. We first give a counter-example to a previous result from the literature regarding the existence of dynamic equilibria for volume-constrained traffic models in the classical linear edge-delay model. Our counter-example shows that the feasible flow space need not be convex, and it further reveals that classical infinite dimensional variational inequalities are not suited for the definition of general side-constrained dynamic equilibria. We then propose a new framework for side-constrained dynamic equilibria based on the concept of admissible gamma-deviations of flow particles in space and time. We show under which assumptions the resulting equilibria can still be characterized by means of quasi- variational and variational inequalities, respectively. Finally, we establish first existence results for side-constrained dynamic equilibria for the nonconvex setting of volume-constraints.