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Stationary dynamic solutions in congested transportation networks: summary and perspectives

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Nesterov, Yurii [UCL] De Palma, André []

The objective of this paper is to provide a systematic treatment of the stationary equilibrium dynamic solutions in large congested networks. We describe the Stable Dynamics approach that is based only on logical assumptions, and is amenable to a rigorous mathematical description. All parameters in use have a direct physical meaning and interpretation. We show existence of the stationary solutions under fairly weak assumptions. For completeness, we present (and criticize) the standard static traffic assignment models and discuss the key differences.

Document type Article de périodique (Journal article)
Publication date 2003
Language Anglais
Journal information "Networks and Spatial Economics : a journal of infrastructure modeling and computation" - Vol. 3, no. 3, p. 371-395 (2003)
Peer reviewed yes
Publisher Springer New York LLC (New York, USA)
issn 1566-113X
Publication status Publié
Affiliations UCL - EUEN/CORE - Center for operations research and econometrics
Institut Universitaire de France - THEMA
Keywords Stable dynamics ; Static traffic assignment ; Congestion ; Variational inequalities
Links
Bibliographic reference Nesterov, Yurii ; De Palma, André. Stationary dynamic solutions in congested transportation networks: summary and perspectives. In: Networks and Spatial Economics : a journal of infrastructure modeling and computation, Vol. 3, no. 3, p. 371-395 (2003)
Permanent URL http://hdl.handle.net/2078.1/23382