Automatic calibration of fundamental diagram for first‐order macroscopic freeway traffic models |
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| Authors: | Renxin Zhong Changjia Chen Andy H F Chow Tianlu Pan Fangfang Yuan Zhaocheng He |
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| Affiliation: | 1. School of Engineering, Sun Yat‐Sen University, Guangzhou, China;2. Guangdong Provincial Key Laboratory of Intelligent Transportation Systems, Guangzhou, China;3. Guangzhou Public Transport Data Management Center, Guangzhou, China;4. Department of Civil, Environmental and Geomatic Engineering, University College London, London, U.K.;5. Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University, Hong Kong;6. Department of Automatic Control, School of Information Science and Technology, Sun Yat‐Sen University, Guangzhou, China |
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| Abstract: | Despite its importance in macroscopic traffic flow modeling, comprehensive method for the calibration of fundamental diagram is very limited. Conventional empirical methods adopt a steady state analysis of the aggregate traffic data collected from measurement devices installed on a particular site without considering the traffic dynamics, which renders the simulation may not be adaptive to the variability of data. Nonetheless, determining the fundamental diagram for each detection site is often infeasible. To remedy these, this study presents an automatic calibration method to estimate the parameters of a fundamental diagram through a dynamic approach. Simulated flow from the cell transmission model is compared against the measured flow wherein an optimization merit is conducted to minimize the discrepancy between model‐generated data and real data. The empirical results prove that the proposed automatic calibration algorithm can significantly improve the accuracy of traffic state estimation by adapting to the variability of traffic data when compared with several existing methods under both recurrent and abnormal traffic conditions. Results also highlight the robustness of the proposed algorithm. The automatic calibration algorithm provides a powerful tool for model calibration when freeways are equipped with sparse detectors, new traffic surveillance systems lack of comprehensive traffic data, or the case that lots of detectors lose their effectiveness for aging systems. Furthermore, the proposed method is useful for off‐line model calibration under abnormal traffic conditions, for example, incident scenarios. Copyright © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | the cell transmission model (CTM) fundamental diagram calibration and validation nonlinear programming least square (LS) sequential quadratic programming |
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