The existence, uniqueness and stability of traffic equilibria
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The Variational Inequality formulation provides a more general and powerful mathematical framework for expressing and solving network equilibrium problems, capable of handling more complex cost structures than the equivalent optimization approach.
“The Variational Inequality formulation provides a more general and powerful mathematical framework for expressing and solving network equilibrium problems [28], capable of handling more complex cost structures than the equivalent optimization approach.”
From Classical Paradigm of Transportation Modeling (2026) · cites this paper as [28]
Cited by
Sorted by citations
Gentile, G. (2016) · Transportation Research Part B Methodological · doi:10.1016/j.trb.2016.02.005 · Cited by 45 · see citing works
Gentile, G. (2018) · Transportation Science · doi:10.1287/trsc.2018.0839 · Cited by 25 · see citing works
Classical Paradigm of Transportation Modeling
Teknomo, K. (2026) · Lecture Notes in Intelligent Transportation and Infrastructure · doi:10.1007/978-981-95-4727-2_2
- Authors
- Smith, M. J.
- Affiliations
- University of York (GB)
- Corresponding author
- Smith, M.J.
- ORCID
- Smith, M.J.
- Venue
- Transportation Research Part B: Methodological
- Publisher
- Elsevier BV
- Published
- 1979-12
- Volume
- 13
- Issue
- 4
- Pages
- 295-304
- ISSN
- 0191-2615 (ISSN-L)
- OpenAlex
- W1981267404
- Cited by
- 857
- References
- 0
- Citations by year
- 2026: 11 · 2025: 23 · 2024: 23 · 2023: 18 · 2022: 26 · 2021: 35 · 2020: 28 · 2019: 36 · 2018: 29 · 2017: 21 · 2016: 26 · 2015: 30 · 2014: 32 · 2013: 33 · 2012: 25
- FWCI
- 54.14
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Transportation Research Part B Methodological (publishedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- Topics
- Social Sciences › Transportation › Transportation Planning and Optimization
- Physical Sciences › Engineering › Control and Systems Engineering › Traffic control and management
- Physical Sciences › Engineering › Building and Construction › Traffic Prediction and Management Techniques
- Keywords
- traffic equilibrium, link flows, existence of equilibrium, uniqueness of equilibrium, equilibrium stability, traffic assignment
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
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