The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
Traffic Equilibrium and Variational Inequalities
Abstract
We consider the general traffic equilibrium network model where the travel cost on each link of the transportation network may depend on the flow on this as well as other links of the network. The model has been designed in order to handle situations where there is interaction between traffic on different links (e.g., two-way streets, intersections) or between different modes of transportation on the same link. For this model, we use the techniques of the theory of variational inequalities to establish existence of a traffic equilibrium pattern, to design an algorithm for the construction of this pattern and to derive estimates on the speed of convergence of the algorithm.
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Citations
Cites
Some Theoretical Aspects of Road Traffic Research
Wardrop, J. G. (1952) · Cited by 2,325
Studies in the Economics of Transportation.
Smeed, R. J., Beckmann, M., McGuire, C. B., Winsten, C. B., & Koopmans, T. C. (1957) · The Economic Journal · doi:10.2307/2227641 · Cited by 1,488
An efficient approach to solving the road network equilibrium traffic assignment problem
LeBlanc, L. J., Morlok, E. K., & Pierskalla, W. P. (1975) · Transportation Research · doi:10.1016/0041-1647(75)90030-1 · Cited by 804
The Traffic Assignment Problem for Multiclass-User Transportation Networks
Dafermos, S. C. (1972) · Transportation Science · doi:10.1287/trsc.6.1.73 · Cited by 302
Self-citationFlows in Transportation Networks
(1972) · Mathematics in Science and Engineering · doi:10.1016/s0076-5392(08)x6182-x · Cited by 189
An Extended Traffic Assignment Model with Applications to Two-Way Traffic
Dafermos, S. C. (1971) · Transportation Science · doi:10.1287/trsc.5.4.366 · Cited by 183
Self-citationAffectations de trafic et tarification au coût marginal social: critique de quelques idées admises
Netter, M. (1972) · Transportation Research · doi:10.1016/0041-1647(72)90078-0 · Cited by 26
Cited by
Roughgarden, T., & Tardos, É. (2002) · Journal of the ACM · doi:10.1145/506147.506153 · Cited by 1,608
Foundations of Dynamic Traffic Assignment: The Past, the Present and the Future
Peeta, S., & Ziliaskopoulos, A. K. (2001) · Networks and Spatial Economics · doi:10.1023/a:1012827724856 · Cited by 779
Dynamical systems and variational inequalities
Dupuis, P., & Nagurney, A. (1993) · Annals of Operations Research · doi:10.1007/bf02073589 · Cited by 441
Gentile, G. (2016) · Transportation Research Part B Methodological · doi:10.1016/j.trb.2016.02.005 · Cited by 45
Gentile, G. (2018) · Transportation Science · doi:10.1287/trsc.2018.0839 · Cited by 25
Metadata
- Authors
- Dafermos, S.
- Venue
- Transportation Science
- Published
- 1980-02
- Volume
- 14
- Issue
- 1
- Pages
- 42-54
- ISSN
- 0041-1655 (ISSN-L)
- 1526-5447
- OpenAlex
- W2125913552
- Cited by
- 926
- References
- 7
- FWCI
- 116.75
- Type
- journal article
- Language
- en
- Open access
- closed
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- Dafermos, S. (1980). Traffic Equilibrium and Variational Inequalities. Transportation Science. https://doi.org/10.1287/trsc.14.1.42
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
