Print Email Facebook Twitter The link transmission model with variable fundamental diagrams and initial conditions Title The link transmission model with variable fundamental diagrams and initial conditions Author van der Gun, J.P.T. (TU Delft Transport and Planning) Pel, A.J. (TU Delft Transport and Planning) van Arem, B. (TU Delft Transport and Planning) Date 2018-09-05 Abstract The link transmission model is a macroscopic network traffic flow simulation tool based on Lighthill–Whitham–Richards theory. While its efficiency and accuracy are superior to the well-known cell transmission model, applications of its current numerical formulations are limited by the inability to apply changes to the fundamental diagrams of links within a simulation and the need to start the simulation with an empty network. We resolve both limitations by developing a methodology for initialising the discrete-time link model with a non-empty initial condition and for computing within-link densities during the simulation, which can then serve as an initial condition for continued simulation with a new fundamental diagram. Since the computation of within-link densities is algebraic, no new numerical errors are introduced. Optional support for multiple commodities, subcritical delays and platoon dispersion, are retained. The resulting model is demonstrated on a motorway corridor network with variable speed limits and dynamic lane management. Subject link transmission modelfirst-order modelSmulders fundamental diagramtraffic controlenvironmental conditions To reference this document use: http://resolver.tudelft.nl/uuid:d832553e-ddb4-476d-8174-3932c26c8713 DOI https://doi.org/10.1080/21680566.2018.1517060 ISSN 2168-0566 Source Transportmetrica B: Transport Dynamics, 7 (2019) (1), 834-864 Part of collection Institutional Repository Document type journal article Rights © 2018 J.P.T. van der Gun, A.J. Pel, B. van Arem Files PDF 2018_Van_der_Gun_Pel_Van_ ... itions.pdf 2.18 MB Close viewer /islandora/object/uuid:d832553e-ddb4-476d-8174-3932c26c8713/datastream/OBJ/view