On the Existence of Solutions to the Dynamic User Equilibrium Problem
Daoli Zhu and
Patrice Marcotte
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Daoli Zhu: CRT, Université de Montréal, C.P. 6128, succursale Centre-Ville, Montréal H3C 3J7, Canada
Patrice Marcotte: DIRO, Université de Montréal, C.P. 6128, succursale Centre-Ville, Montréal H3C 3J7, Canada
Transportation Science, 2000, vol. 34, issue 4, 402-414
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 (FIFO).
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ortrsc:v:34:y:2000:i:4:p:402-414
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