A Link-Queue Approach to Traffic Statics and Dynamics in Signalized Networks
Understanding traffic statics and dynamics in urban networks is very critical and also helpful in developing signal control strategies and solving network traffic problems. In this paper, a link queue approach is used to study the traffic statics and dynamics in both a double-ring network and a homogeneous grid network with signals. Traffic stationary states in the signalized double-ring network are analytically solved, and two types of stationary states are found: periodical states and gridlock states, both of which are closely related to the retaining ratios, cycle lengths, and initial densities. Stability properties of these stationary states are analyzed in the signalized double-ring network. It is found that the gridlock states are asymptotically stable when the retaining ratios are greater than 0.5, while they are unstable when the retaining ratios are smaller than or equal to 0.5. Macroscopic fundamental diagrams are derived based on the stationary states in the signalized double-ring network with different retaining ratios and cycle lengths. Simulation results in a 6 by 6 grid network show that the signalized grid network is consistent with the signalized double-ring network when the retaining ratios are deterministic.
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Supplemental Notes:
- This paper was sponsored by TRB committee AHB45 Traffic Flow Theory and Characteristics.
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Corporate Authors:
500 Fifth Street, NW
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Authors:
- Gan, Qijian
- Jin, Wen-Long
- Gayah, Vikash V
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Conference:
- Transportation Research Board 93rd Annual Meeting
- Location: Washington DC
- Date: 2014-1-12 to 2014-1-16
- Date: 2014
Language
- English
Media Info
- Media Type: Digital/other
- Features: Figures; References; Tables;
- Pagination: 26p
- Monograph Title: TRB 93rd Annual Meeting Compendium of Papers
Subject/Index Terms
- TRT Terms: Macroscopic traffic flow; Mathematical models; Signalized intersections; Traffic congestion; Traffic density; Traffic flow; Traffic signal control systems; Traffic signal cycle; Urban areas
- Subject Areas: Highways; Operations and Traffic Management; I73: Traffic Control;
Filing Info
- Accession Number: 01506648
- Record Type: Publication
- Report/Paper Numbers: 14-3257
- Files: TRIS, TRB, ATRI
- Created Date: Feb 7 2014 10:12AM