Effect of stochastic transition in the fundamental diagram of traffic flow

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dc.contributor.authorSiqueira, Adriano F.
dc.contributor.authorPeixoto, Carlos J. T.
dc.contributor.authorWu, Chen
dc.contributor.authorQian, Wei-Liang [UNESP]
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionShanghai Inst Appl Phys
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2018-11-26T16:32:55Z
dc.date.available2018-11-26T16:32:55Z
dc.date.issued2016-05-01
dc.description.abstractIn this work, we propose an alternative stochastic model for the fundamental diagram of traffic flow with minimal number of parameters. Our approach is based on a mesoscopic viewpoint of the traffic system in terms of the dynamics of vehicle speed transitions. A key feature of the present approach lies in its stochastic nature which makes it possible to study not only the flow-concentration relation, namely, the fundamental diagram, but also its uncertainty, namely, the variance of the fundamental diagram an important characteristic in the observed traffic flow data. It is shown that in the simplified versions of the model consisting of only a few speed states, analytic solutions for both quantities can be obtained, which facilitate the discussion of the corresponding physical content. We also show that the effect of vehicle size can be included into the model by introducing the maximal congestion density kmax. By making use of this parameter, the free flow region and congested flow region are naturally divided, and the transition is characterized by the capacity drop at the maximum of the flow-concentration relation. The model parameters are then adjusted to the observed traffic flow on the 1-80 Freeway Dataset in the San Francisco area from the NGSIM program, where both the fundamental diagram and its variance are reasonably reproduced. Despite its simplicity, we argue that the current model provides an alternative description for the fundamental diagram and its uncertainty in the study of traffic flow. (C) 2016 Elsevier Ltd. All rights reserved.en
dc.description.affiliationUniv Sao Paulo, Escola Engn Lorena, Dept Ciencias Basicas & Ambientais, BR-05508 Sao Paulo, SP, Brazil
dc.description.affiliationShanghai Inst Appl Phys, Shanghai, Peoples R China
dc.description.affiliationUniv Estadual Paulista, Fac Engn Guaratingueta, Dept Quim & Fis, Pres Prudente, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Fac Engn Guaratingueta, Dept Quim & Fis, Pres Prudente, SP, Brazil
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de Minas Gerais (FAPEMIG)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.format.extent1-13
dc.identifierhttp://dx.doi.org/10.1016/j.trb.2016.02.003
dc.identifier.citationTransportation Research Part B-methodological. Oxford: Pergamon-elsevier Science Ltd, v. 87, p. 1-13, 2016.
dc.identifier.doi10.1016/j.trb.2016.02.003
dc.identifier.fileWOS000375512100001.pdf
dc.identifier.issn0191-2615
dc.identifier.urihttp://hdl.handle.net/11449/161483
dc.identifier.wosWOS:000375512100001
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofTransportation Research Part B-methodological
dc.relation.ispartofsjr3,109
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.subjectFundamental diagram
dc.subjectStochastic differential equation
dc.subjectTraffic flow
dc.subjectVariance of traffic flow
dc.subjectBoltzmann equation
dc.titleEffect of stochastic transition in the fundamental diagram of traffic flowen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
unesp.author.orcid0000-0002-3450-1984[4]
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