A unified framework for traffic assignment: deriving static and quasi-dynamic models consistent with general first order dynamic traffic assignment models

Michiel C.J. Bliemer, Mark P.H. Raadsen, Luuk Brederode, Michael G.H. Bell, Luc J.J. Wismans

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Abstract

This paper presents a theoretical framework to derive static, quasi-dynamic, and semi-dynamic traffic assignment models from a general first order dynamic traffic assignment model. By explicit derivation from a dynamic model, the resulting models maintain maximum consistency with dynamic models. Further, the derivations can be done with any fundamental diagram, any turn flow restrictions, and deterministic or stochastic route choice. We demonstrate the framework by deriving static (quasidynamic) models that explicitly take queuing and spillback into account. These models are generalisations of models previously proposed in the literature. We further discuss all assumptions usually implicitly made in the traditional static traffic assignment model.
Original languageEnglish
PublisherInstitute of Transport and Logistics Studies (ITLS)
Number of pages32
Publication statusPublished - Apr 2014

Publication series

NameITLS Working Paper
PublisherInstitute of Transport and Logistics Studies (ITLS)
No.ITLS‐WP‐14‐08
ISSN (Print)1832‐570X

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Bliemer, M. C. J., Raadsen, M. P. H., Brederode, L., Bell, M. G. H., & Wismans, L. J. J. (2014). A unified framework for traffic assignment: deriving static and quasi-dynamic models consistent with general first order dynamic traffic assignment models. (ITLS Working Paper; No. ITLS‐WP‐14‐08). Institute of Transport and Logistics Studies (ITLS).
Bliemer, Michiel C.J. ; Raadsen, Mark P.H. ; Brederode, Luuk ; Bell, Michael G.H. ; Wismans, Luc J.J. / A unified framework for traffic assignment : deriving static and quasi-dynamic models consistent with general first order dynamic traffic assignment models. Institute of Transport and Logistics Studies (ITLS), 2014. 32 p. (ITLS Working Paper; ITLS‐WP‐14‐08).
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abstract = "This paper presents a theoretical framework to derive static, quasi-dynamic, and semi-dynamic traffic assignment models from a general first order dynamic traffic assignment model. By explicit derivation from a dynamic model, the resulting models maintain maximum consistency with dynamic models. Further, the derivations can be done with any fundamental diagram, any turn flow restrictions, and deterministic or stochastic route choice. We demonstrate the framework by deriving static (quasidynamic) models that explicitly take queuing and spillback into account. These models are generalisations of models previously proposed in the literature. We further discuss all assumptions usually implicitly made in the traditional static traffic assignment model.",
author = "Bliemer, {Michiel C.J.} and Raadsen, {Mark P.H.} and Luuk Brederode and Bell, {Michael G.H.} and Wismans, {Luc J.J.}",
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Bliemer, MCJ, Raadsen, MPH, Brederode, L, Bell, MGH & Wismans, LJJ 2014, A unified framework for traffic assignment: deriving static and quasi-dynamic models consistent with general first order dynamic traffic assignment models. ITLS Working Paper, no. ITLS‐WP‐14‐08, Institute of Transport and Logistics Studies (ITLS).

A unified framework for traffic assignment : deriving static and quasi-dynamic models consistent with general first order dynamic traffic assignment models. / Bliemer, Michiel C.J.; Raadsen, Mark P.H.; Brederode, Luuk; Bell, Michael G.H.; Wismans, Luc J.J.

Institute of Transport and Logistics Studies (ITLS), 2014. 32 p. (ITLS Working Paper; No. ITLS‐WP‐14‐08).

Research output: Book/ReportReportProfessional

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AB - This paper presents a theoretical framework to derive static, quasi-dynamic, and semi-dynamic traffic assignment models from a general first order dynamic traffic assignment model. By explicit derivation from a dynamic model, the resulting models maintain maximum consistency with dynamic models. Further, the derivations can be done with any fundamental diagram, any turn flow restrictions, and deterministic or stochastic route choice. We demonstrate the framework by deriving static (quasidynamic) models that explicitly take queuing and spillback into account. These models are generalisations of models previously proposed in the literature. We further discuss all assumptions usually implicitly made in the traditional static traffic assignment model.

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Bliemer MCJ, Raadsen MPH, Brederode L, Bell MGH, Wismans LJJ. A unified framework for traffic assignment: deriving static and quasi-dynamic models consistent with general first order dynamic traffic assignment models. Institute of Transport and Logistics Studies (ITLS), 2014. 32 p. (ITLS Working Paper; ITLS‐WP‐14‐08).