A mathematical programming module for merge control in system optimal dynamic traffic assignment

Wei Hua Lin, Hongchao Liu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper attempts to enhance the existing linear programming (LP) formulation of the system optimal dynamic traffic assignment SO-DTA problem by treating the priority ratio of a merge junction with a linear programming module equivalent to the non-linear merge component in the cell transmission model. The proposed formulation preserves the proper merge priority rule and can be readily embedded into an LP formulation of the SO-DTA problem for a single destination. It is capable of distinguishing control governed by the roadway geometry and control imposed by the system provider. The other contribution of the paper is that the model proposed also provides an alternative graphical interpretation of the merge rule described in the cell transmission model.

Original languageEnglish (US)
Title of host publicationIEEE Conference on Intelligent Transportation Systems, Proceedings, ITSC
Pages103-108
Number of pages6
Volume2005
DOIs
StatePublished - 2005
Event8th International IEEE Conference on Intelligent Transportation Systems - Vienna, Austria
Duration: Sep 13 2005Sep 16 2005

Other

Other8th International IEEE Conference on Intelligent Transportation Systems
CountryAustria
CityVienna
Period9/13/059/16/05

Fingerprint

Optimal systems
Mathematical programming
Linear programming
Differential thermal analysis
Geometry

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Lin, W. H., & Liu, H. (2005). A mathematical programming module for merge control in system optimal dynamic traffic assignment. In IEEE Conference on Intelligent Transportation Systems, Proceedings, ITSC (Vol. 2005, pp. 103-108). [1520030] https://doi.org/10.1109/ITSC.2005.1520030

A mathematical programming module for merge control in system optimal dynamic traffic assignment. / Lin, Wei Hua; Liu, Hongchao.

IEEE Conference on Intelligent Transportation Systems, Proceedings, ITSC. Vol. 2005 2005. p. 103-108 1520030.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Lin, WH & Liu, H 2005, A mathematical programming module for merge control in system optimal dynamic traffic assignment. in IEEE Conference on Intelligent Transportation Systems, Proceedings, ITSC. vol. 2005, 1520030, pp. 103-108, 8th International IEEE Conference on Intelligent Transportation Systems, Vienna, Austria, 9/13/05. https://doi.org/10.1109/ITSC.2005.1520030
Lin WH, Liu H. A mathematical programming module for merge control in system optimal dynamic traffic assignment. In IEEE Conference on Intelligent Transportation Systems, Proceedings, ITSC. Vol. 2005. 2005. p. 103-108. 1520030 https://doi.org/10.1109/ITSC.2005.1520030
Lin, Wei Hua ; Liu, Hongchao. / A mathematical programming module for merge control in system optimal dynamic traffic assignment. IEEE Conference on Intelligent Transportation Systems, Proceedings, ITSC. Vol. 2005 2005. pp. 103-108
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