An equivalent optimization formulation for the traffic assignment problem with asymmetric linear costs

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dc.contributor.authorde Grange, Louis
dc.contributor.authorCarlos Munoz, Juan
dc.date.accessioned2024-01-10T13:11:05Z
dc.date.available2024-01-10T13:11:05Z
dc.date.issued2009
dc.description.abstractIn this paper, we present a general formulation for the deterministic traffic assignment problem, using an equivalent optimization problem applicable to the case of asymmetric linear cost functions. We present a resolution approach for this problem in such a way that in equilibrium Wardrop's first principle or Nash equilibrium is satisfied. We conclude that many deterministic traffic assignment problems with asymmetric linear costs can be formulated as an optimization problem whose objective is defined by a line integral, and whose constraints correspond to non-negativity and flows conservation. By adequately defining the integration path, it is feasible to resolve the problem, obtaining Wardrop's equilibrium. This approach can be applied in other economic contexts, including microeconomic theory and consumer surplus analysis.
dc.fechaingreso.objetodigital2024-05-08
dc.format.extent25 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1080/03081060902750579
dc.identifier.eissn1029-0354
dc.identifier.issn0308-1060
dc.identifier.urihttps://doi.org/10.1080/03081060902750579
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/77992
dc.identifier.wosidWOS:000264482100001
dc.information.autorucIngeniería;Muñoz JC ;S/I;75822
dc.issue.numero1
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final25
dc.pagina.inicio1
dc.publisherTAYLOR & FRANCIS LTD
dc.revistaTRANSPORTATION PLANNING AND TECHNOLOGY
dc.rightsacceso restringido
dc.subjectWardrop
dc.subjectNash equilibrium
dc.subjectasymmetric cost
dc.subjectline integral
dc.subjectintegration path
dc.subjectEQUILIBRIUM PROBLEM
dc.subjectVARIATIONAL-INEQUALITIES
dc.subjectNETWORK
dc.subjectALGORITHMS
dc.subject.ods11 Sustainable Cities and Communities
dc.subject.odspa11 Ciudades y comunidades sostenibles
dc.titleAn equivalent optimization formulation for the traffic assignment problem with asymmetric linear costs
dc.typeartículo
dc.volumen32
sipa.codpersvinculados75822
sipa.indexWOS
sipa.trazabilidadCarga SIPA;09-01-2024
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