dc.contributor.author | Colombo, Rinaldo M | |
dc.contributor.author | Holden, Helge | |
dc.contributor.author | Marcellini, Francesca | |
dc.date.accessioned | 2021-02-09T07:45:56Z | |
dc.date.available | 2021-02-09T07:45:56Z | |
dc.date.created | 2021-01-11T11:12:36Z | |
dc.date.issued | 2020 | |
dc.identifier.citation | SIAM Journal on Applied Mathematics. 2020, 80 (3), 1377-1391. | en_US |
dc.identifier.issn | 0036-1399 | |
dc.identifier.uri | https://hdl.handle.net/11250/2726741 | |
dc.description.abstract | We introduce a formalism to deal with the microscopic modeling of vehicular traffic on a road network. Traffic on each road is unidirectional, and the dynamics of each vehicle is described by a follow-the-leader model. From a mathematical point of view, this amounts to defining a system of ODEs on an arbitrary network. A general existence and uniqueness result is provided, while priorities at junctions are shown to hinder the stability of solutions. We investigate the occurrence of the Braess paradox in a time-dependent setting within this model. The emergence of Nash equilibria in a nonstationary situation results in the appearance of Braess-type paradoxes, and this is supported by numerical simulations. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Society for Industrial and Applied Mathematics | en_US |
dc.title | On the microscopic modeling of vehicular traffic on general networks | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | acceptedVersion | en_US |
dc.source.pagenumber | 1377-1391 | en_US |
dc.source.volume | 80 | en_US |
dc.source.journal | SIAM Journal on Applied Mathematics | en_US |
dc.source.issue | 3 | en_US |
dc.identifier.doi | 10.1137/19M1270896 | |
dc.identifier.cristin | 1868746 | |
dc.relation.project | Norges forskningsråd: 250070 | en_US |
dc.description.localcode | © 2020 Society for Industrial and Applied Mathematics. This is the authors' accepted and refereed manuscript to the article. | en_US |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.fulltext | preprint | |
cristin.qualitycode | 2 | |