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On the Existence of Solutions to the Dynamic User Equilibrium Problem

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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)

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).

Suggested Citation

  • Daoli Zhu & Patrice Marcotte, 2000. "On the Existence of Solutions to the Dynamic User Equilibrium Problem," Transportation Science, INFORMS, vol. 34(4), pages 402-414, November.
    • Handle: RePEc:inm:ortrsc:v:34:y:2000:i:4:p:402-414
    DOI: 10.1287/trsc.34.4.402.12322
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    References listed on IDEAS

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