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Stability of Intelligent Transportation Network Dynamics: A Daily Path Flow Adjustment considering Travel Time Differentiation
Joint Authors
Hwang, Ming-Chorng
Huang, You-Heng
Cho, Hsun-Jung
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-18
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
A theoretic formulation on how traffic time information distributed by ITS operations influences the trajectory of network flows is presented in this paper.
The interactions between users and ITS operator are decomposed into three parts: (i) travel time induced path flow dynamics (PFDTT); (ii) demand induced path flow dynamics (PFDD); and (iii) predicted travel time dynamics for an origin-destination (OD) pair (PTTDOD).
PFDTT describes the collective results of user’s daily route selection by pairwise comparison of path travel time provided by ITS services.
The other two components, PTTDOD and PFDD, are concentrated on the evolutions of system variables which are predicted and observed, respectively, by ITS operators to act as a benchmark in guiding the target system towards an expected status faster.
In addition to the delivered modelings, the stability theorem of the equilibrium solution in the sense of Lyapunov stability is also provided.
A Lyapunov function is developed and employed to the proof of stability theorem to show the asymptotic behavior of the aimed system.
The information of network flow dynamics plays a key role in traffic control policy-making.
The evaluation of ITS-based strategies will not be reasonable without a well-established modeling of network flow evolutions.
American Psychological Association (APA)
Hwang, Ming-Chorng& Cho, Hsun-Jung& Huang, You-Heng. 2015. Stability of Intelligent Transportation Network Dynamics: A Daily Path Flow Adjustment considering Travel Time Differentiation. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1074270
Modern Language Association (MLA)
Hwang, Ming-Chorng…[et al.]. Stability of Intelligent Transportation Network Dynamics: A Daily Path Flow Adjustment considering Travel Time Differentiation. Mathematical Problems in Engineering No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1074270
American Medical Association (AMA)
Hwang, Ming-Chorng& Cho, Hsun-Jung& Huang, You-Heng. Stability of Intelligent Transportation Network Dynamics: A Daily Path Flow Adjustment considering Travel Time Differentiation. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1074270
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074270