volume 59 issue 2 pages 413-432

Multiday User Equilibrium with Strategic Commuters

Publication typeJournal Article
Publication date2025-03-01
scimago Q1
wos Q1
SJR2.324
CiteScore9.1
Impact factor4.8
ISSN00411655, 15265447
Abstract

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 .

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Transportation Science
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Transportation Research, Series B: Methodological
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Institute for Operations Research and the Management Sciences (INFORMS)
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GOST |
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GOST Copy
Wu M., Yin Y., LYNCH J. M. Multiday User Equilibrium with Strategic Commuters // Transportation Science. 2025. Vol. 59. No. 2. pp. 413-432.
GOST all authors (up to 50) Copy
Wu M., Yin Y., LYNCH J. M. Multiday User Equilibrium with Strategic Commuters // Transportation Science. 2025. Vol. 59. No. 2. pp. 413-432.
RIS |
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RIS Copy
TY - JOUR
DO - 10.1287/trsc.2023.0488
UR - https://pubsonline.informs.org/doi/10.1287/trsc.2023.0488
TI - Multiday User Equilibrium with Strategic Commuters
T2 - Transportation Science
AU - Wu, Minghui
AU - Yin, Yafeng
AU - LYNCH, JEROME MORLEY
PY - 2025
DA - 2025/03/01
PB - Institute for Operations Research and the Management Sciences (INFORMS)
SP - 413-432
IS - 2
VL - 59
SN - 0041-1655
SN - 1526-5447
ER -
BibTex |
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BibTex (up to 50 authors) Copy
@article{2025_Wu,
author = {Minghui Wu and Yafeng Yin and JEROME MORLEY LYNCH},
title = {Multiday User Equilibrium with Strategic Commuters},
journal = {Transportation Science},
year = {2025},
volume = {59},
publisher = {Institute for Operations Research and the Management Sciences (INFORMS)},
month = {mar},
url = {https://pubsonline.informs.org/doi/10.1287/trsc.2023.0488},
number = {2},
pages = {413--432},
doi = {10.1287/trsc.2023.0488}
}
MLA
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MLA Copy
Wu, Minghui, et al. “Multiday User Equilibrium with Strategic Commuters.” Transportation Science, vol. 59, no. 2, Mar. 2025, pp. 413-432. https://pubsonline.informs.org/doi/10.1287/trsc.2023.0488.