Distribution models for start-up lost time and effective departure flow rate |
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| Institution: | 1. State Key Laboratory of Transient Optics and Photonics, Xi’an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xi’an 710119, China;2. University of Chinese Academy of Sciences, Beijing 100049, China;3. School of Materials Science and Engineering, Shaanxi University of Science & Technology, Xi’an 710021, China;4. School of Electronic and Information Engineering, Hefei Normal University, 230601, China;5. Key Laboratory for Organic Electronics & Information Displays, Institute of Advanced Materials (IAM), Nanjing University of Posts & Telecommunications, Nanjing 210046, China;1. Department of Neurological Surgery, Northwestern University, Feinberg School of Medicine, Suite 2210, 676 North St. Clair Street, Chicago, IL 60611, USA;2. Department of Neurosurgery, Rush University Medical Center, Chicago IL, USA;1. College of Life Sciences and Bioengineering, School of Science, Beijing Jiaotong University, Beijing 100044, China;2. Tongji Medical College, Huazhong University of Science and Technology, Wuhan 430074, Hubei, China;1. Geography Research Group, Department of Earth and Environmental Science, K.U. Leuven, Celestijnenlaan 200E, 3001 Heverlee, Belgium;2. Flemish Institute for Technological Research (VITO), Boeretang 200, 2400 Mol, Belgium;3. Department of Geography, GeoInformatics and Climatic Sciences, Makerere University, P.O. Box 7062, Kampala, Uganda |
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| Abstract: | Due to its importance, lots of investigations had been carried out in the last four decades to study the relationship between phase duration and vehicle departure amount. In this paper, we aim to build appropriate distribution models for start-up lost time and effective departure flow rate, by considering their relations with the frequently mentioned departure headway distributions. The motivation behind is that distribution models could provide richer information than the conventional mean value models and thus better serve the need of traffic simulation and signal timing planning. To reach this goal, we first check empirical data collected in Beijing, China. Tests show that the departure headways at each position in a discharging queue are very weakly dependent or almost independent. Based on this new finding, two distribution models are proposed for start-up lost time and effective flow rate, respectively. We also examine the dependences of departure headways that are generated by three popular traffic simulation software: VISSIM, PARAMICS and TransModeler. Results suggest that in VISSIM, the departure headways at different positions are almost deterministically dependent and may not be in accordance with empirical observations. Finally, we discuss how the dependence of departure headways may influence traffic simulation and signal timing planning. |
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| Keywords: | Departure headway Start-up lost time Departure flow rate Traffic simulation |
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