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    Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10259/6915

    Título
    A finite element approach for the traffic assignment problem
    Autor
    Cortínez, Víctor H.
    Dominguez, Patricia N.
    Publicado en
    R-Evolucionando el transporte
    Editorial
    Universidad de Burgos. Servicio de Publicaciones e Imagen Institucional
    Fecha de publicación
    2021-07
    ISBN
    978-84-18465-12-3
    DOI
    10.36443/10259/6915
    Descripción
    Trabajo presentado en: R-Evolucionando el transporte, XIV Congreso de Ingeniería del Transporte (CIT 2021), realizado en modalidad online los días 6, 7 y 8 de julio de 2021, organizado por la Universidad de Burgos
    Abstract
    Traffic assignment problem (TAP) in static equilibrium conditions is based on the Wardrop´s first principle. The mathematical solution of this problem involves significant computation times for the analysis of large transportation networks, especially in the context of design. Thus, the development of efficient computational methodologies is of the greatest concern. In this article, a reduced order model for TAP, based on a Finite Element Approach (FEA), is proposed. Such methodology involves four main ideas: a) the TAP formulation including as variables the travel times from any node of the network to the corresponding destination points, b) the solution of the governing algebraic equation system by means of an efficient iterative approach, known as “Physarum”, that takes the travel times as the main unknowns, c) the interpolation of travel times in certain urban subdomains, denominated “finite elements”, in terms of the values corresponding to some main nodes previously selected (reduced unknowns), d) the use of the Galerkin’s method to express the TAP in terms of the reduced unknowns. The model formulation is presented and a numerical example is given to show its efficiency.
    Palabras clave
    Modelización
    Modelling
    Simulación
    Simulation
    Materia
    Ingeniería civil
    Civil engineering
    Transporte
    Transportation
    URI
    http://hdl.handle.net/10259/6915
    Versión del editor
    https://doi.org/10.36443/9788418465123
    Relacionado con
    http://hdl.handle.net/10259/6490
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