RT info:eu-repo/semantics/conferenceObject
T1 A finite element approach for the traffic assignment problem
A1 Cortínez, Víctor H.
A1 Dominguez, Patricia N.
K1 Modelización
K1 Modelling
K1 Simulación
K1 Simulation
K1 Ingeniería civil
K1 Civil engineering
K1 Transportes
K1 Transportation
AB Traffic assignment problem (TAP) in static equilibrium conditions is based on the Wardrop´sfirst principle. The mathematical solution of this problem involves significant computationtimes 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 includingas variables the travel times from any node of the network to the corresponding destinationpoints, b) the solution of the governing algebraic equation system by means of an efficientiterative approach, known as “Physarum”, that takes the travel times as the main unknowns,c) the interpolation of travel times in certain urban subdomains, denominated “finiteelements”, 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 thereduced unknowns. The model formulation is presented and a numerical example is givento show its efficiency.
PB Universidad de Burgos. Servicio de Publicaciones e Imagen Institucional
SN 978-84-18465-12-3
YR 2021
FD 2021-07
LK http://hdl.handle.net/10259/6915
UL http://hdl.handle.net/10259/6915
LA eng
NO 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
NO 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).
DS Repositorio Institucional de la Universidad de Burgos
RD 23-nov-2024