2026-06-17T21:53:24Zhttps://riubu.ubu.es/oai/request

oai:riubu.ubu.es:10259/69152024-05-20T06:54:00Zcom_10259.4_104com_10259_2604col_10259_6848

Cortínez, Víctor H. Dominguez, Patricia N. 2022-09-19T10:20:05Z 2022-09-19T10:20:05Z 2021-07 978-84-18465-12-3 http://hdl.handle.net/10259/6915 10.36443/10259/6915 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 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. The present study is part of the projects “Mathematical models in environmental engineering: optimal design and control” (Secyt, Universidad Tecnológica Nacional) and “Optimization problems in civil engineering. Part III” (Departamento de Ingeniería, Universidad Nacional del Sur). application/pdf eng Universidad de Burgos. Servicio de Publicaciones e Imagen Institucional R-Evolucionando el transporte http://hdl.handle.net/10259/6490 https://doi.org/10.36443/9788418465123 Modelización Simulación Modelling Simulation Ingeniería civil Transportes Civil engineering Transportation A finite element approach for the traffic assignment problem info:eu-repo/semantics/conferenceObject info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/openAccess 1149 1168