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

M.C.J. Bliemer, M.P.H. Raadsen, L.J.N. Brederode, M.G.H. Bell, L.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
Number of pages32
Publication statusPublished - 17 Jun 2014
Event5th International Symposium on Dynamic Traffic Assignment, DTA 2014 - Salerno, Italy
Duration: 17 Jun 201419 Jun 2014
Conference number: 5

Conference

Conference5th International Symposium on Dynamic Traffic Assignment, DTA 2014
Abbreviated titleDTA
CountryItaly
CitySalerno
Period17/06/1419/06/14

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Dynamic models

Keywords

  • IR-99053
  • METIS-299802

Cite this

Bliemer, M. C. J., Raadsen, M. P. H., Brederode, L. J. N., 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. Paper presented at 5th International Symposium on Dynamic Traffic Assignment, DTA 2014, Salerno, Italy.
Bliemer, M.C.J. ; Raadsen, M.P.H. ; Brederode, L.J.N. ; Bell, M.G.H. ; Wismans, L.J.J. / A unified framework for traffic assignment : deriving static and quasi dynamic models consistent with general first order dynamic traffic assignment models. Paper presented at 5th International Symposium on Dynamic Traffic Assignment, DTA 2014, Salerno, Italy.32 p.
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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.",
keywords = "IR-99053, METIS-299802",
author = "M.C.J. Bliemer and M.P.H. Raadsen and L.J.N. Brederode and M.G.H. Bell and L.J.J. Wismans",
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note = "5th International Symposium on Dynamic Traffic Assignment, DTA 2014, DTA ; Conference date: 17-06-2014 Through 19-06-2014",

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Bliemer, MCJ, Raadsen, MPH, Brederode, LJN, 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' Paper presented at 5th International Symposium on Dynamic Traffic Assignment, DTA 2014, Salerno, Italy, 17/06/14 - 19/06/14, .

A unified framework for traffic assignment : deriving static and quasi dynamic models consistent with general first order dynamic traffic assignment models. / Bliemer, M.C.J.; Raadsen, M.P.H.; Brederode, L.J.N.; Bell, M.G.H.; Wismans, L.J.J.

2014. Paper presented at 5th International Symposium on Dynamic Traffic Assignment, DTA 2014, Salerno, Italy.

Research output: Contribution to conferencePaperAcademicpeer-review

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T1 - A unified framework for traffic assignment

T2 - deriving static and quasi dynamic models consistent with general first order dynamic traffic assignment models

AU - Bliemer, M.C.J.

AU - Raadsen, M.P.H.

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AU - Bell, M.G.H.

AU - Wismans, L.J.J.

PY - 2014/6/17

Y1 - 2014/6/17

N2 - 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.

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 LJN, 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. 2014. Paper presented at 5th International Symposium on Dynamic Traffic Assignment, DTA 2014, Salerno, Italy.