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Multiday User Equilibrium with Strategic Commuters

Publication ,  Journal Article
Wu, M; Yin, Y; Lynch, JP
Published in: Transportation Science
December 20, 2024

In the era of connected and automated mobility, commuters possess strong computation power, enabling them to strategically make sequential travel choices over a planning horizon. This paper investigates the multiday traffic patterns that arise from such decision-making behavior. In doing so, we frame the commute problem as a mean-field Markov game and introduce a novel concept of multiday user equilibrium to capture the steady state of commuters’ interactions. The proposed model is general and can be tailored to various travel choices, such as route or departure time. We explore a range of properties of the multiday user equilibrium under mild conditions. The study reveals the fingerprint of user inertia on network flow patterns, causing between-day variations even at a steady state. Furthermore, our analysis establishes critical connections between the multiday user equilibrium and conventional Wardrop equilibrium. Funding: This work was supported by the National Science Foundation [Grants CMMI-1854684, CMMI-1904575, CMMI-2233057, and CMMI-2240981]. Supplemental Material: The online appendix is available at https://doi.org/10.1287/trsc.2023.0488 .

Duke Scholars

Published In

Transportation Science

DOI

EISSN

1526-5447

ISSN

0041-1655

Publication Date

December 20, 2024

Publisher

Institute for Operations Research and the Management Sciences (INFORMS)

Related Subject Headings

  • Logistics & Transportation
  • 4901 Applied mathematics
  • 3509 Transportation, logistics and supply chains
  • 1507 Transportation and Freight Services
  • 0102 Applied Mathematics
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Wu, M., Yin, Y., & Lynch, J. P. (2024). Multiday User Equilibrium with Strategic Commuters. Transportation Science. https://doi.org/10.1287/trsc.2023.0488
Wu, Minghui, Yafeng Yin, and Jerome P. Lynch. “Multiday User Equilibrium with Strategic Commuters.” Transportation Science, December 20, 2024. https://doi.org/10.1287/trsc.2023.0488.
Wu M, Yin Y, Lynch JP. Multiday User Equilibrium with Strategic Commuters. Transportation Science. 2024 Dec 20;
Wu, Minghui, et al. “Multiday User Equilibrium with Strategic Commuters.” Transportation Science, Institute for Operations Research and the Management Sciences (INFORMS), Dec. 2024. Crossref, doi:10.1287/trsc.2023.0488.
Wu M, Yin Y, Lynch JP. Multiday User Equilibrium with Strategic Commuters. Transportation Science. Institute for Operations Research and the Management Sciences (INFORMS); 2024 Dec 20;

Published In

Transportation Science

DOI

EISSN

1526-5447

ISSN

0041-1655

Publication Date

December 20, 2024

Publisher

Institute for Operations Research and the Management Sciences (INFORMS)

Related Subject Headings

  • Logistics & Transportation
  • 4901 Applied mathematics
  • 3509 Transportation, logistics and supply chains
  • 1507 Transportation and Freight Services
  • 0102 Applied Mathematics