Journal
IFAC PAPERSONLINE
Volume 49, Issue 3, Pages 297-302Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.ifacol.2016.07.050
Keywords
Macroscopic Fundamental Diagram (MFD); Traffic Network State; Dynamic Estimation; Traffic Control; Kalman-Filter
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Funding
- Jacobs Technion-Cornell Institute
- Glasberg-Klein Metropolitan Research Foundation
- NY Metropolitan Research Foundation
- Israeli Environmental and Health Foundation
- Technion Center of Excellence in Exposure Science
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The Macroscopic Fundamental Diagram (MFD) relates the number of circulating vehicles (or accumulation) to a neighbourhoods average speed or flow. In theory the MFD has a well-defined maximum which remains invariant over time. Recent studies, however, suggest that in practice this is not the case, and the MFD does present a variations over time. These variations in the MFD render traffic simulations, modelling and control schemes inaccurate, as these tools do not capture the dynamic nature of the MFD. This paper presents a dynamic model for estimating the MFD, so it does capture the MFDs time varying nature. A mathematical Kalman-filter based framework for solving the model and estimating the MFD are also presented. The application of the method on a small scale example shows the potential of the method. (C) 2016, IFAC (International Federation of Antomatic Control) Hosting by Elsevier Ltd. All rights reserved.
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