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

Wei Hua Lin; Hongchao Liu

doi:10.1109/ITSC.2005.1520030

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

Wei Hua Lin, Hongchao Liu

Civil Environ Construct Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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 language	English
Title of host publication	ITSC`05
Subtitle of host publication	2005 IEEE Intelligent Conference on Transportation Systems, Proceedings
Pages	103-108
Number of pages	6
DOIs	https://doi.org/10.1109/ITSC.2005.1520030
State	Published - 2005
Event	8th International IEEE Conference on Intelligent Transportation Systems - Vienna, Austria Duration: Sep 13 2005 → Sep 16 2005

Publication series

Name	IEEE Conference on Intelligent Transportation Systems, Proceedings, ITSC
Volume	2005

Conference

Conference	8th International IEEE Conference on Intelligent Transportation Systems
Country/Territory	Austria
City	Vienna
Period	09/13/05 → 09/16/05

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10.1109/ITSC.2005.1520030

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Lin, W. H., & Liu, H. (2005). A mathematical programming module for merge control in system optimal dynamic traffic assignment. In ITSC`05: 2005 IEEE Intelligent Conference on Transportation Systems, Proceedings (pp. 103-108). Article 1520030 (IEEE Conference on Intelligent Transportation Systems, Proceedings, ITSC; Vol. 2005). https://doi.org/10.1109/ITSC.2005.1520030

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title = "A mathematical programming module for merge control in system optimal dynamic traffic assignment",

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.",

author = "Lin, {Wei Hua} and Hongchao Liu",

year = "2005",

doi = "10.1109/ITSC.2005.1520030",

language = "English",

isbn = "0780392159",

series = "IEEE Conference on Intelligent Transportation Systems, Proceedings, ITSC",

pages = "103--108",

booktitle = "ITSC`05",

note = "8th International IEEE Conference on Intelligent Transportation Systems ; Conference date: 13-09-2005 Through 16-09-2005",

}

Lin, WH & Liu, H 2005, A mathematical programming module for merge control in system optimal dynamic traffic assignment. in ITSC`05: 2005 IEEE Intelligent Conference on Transportation Systems, Proceedings., 1520030, IEEE Conference on Intelligent Transportation Systems, Proceedings, ITSC, vol. 2005, pp. 103-108, 8th International IEEE Conference on Intelligent Transportation Systems, Vienna, Austria, 09/13/05. 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.
ITSC`05: 2005 IEEE Intelligent Conference on Transportation Systems, Proceedings. 2005. p. 103-108 1520030 (IEEE Conference on Intelligent Transportation Systems, Proceedings, ITSC; Vol. 2005).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - 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.

AB - 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.

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

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