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On the functional form of the speed-density relationship--I: General theory

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  1. Neda Mirzaeian & Soo-Haeng Cho & Alan Scheller-Wolf, 2021. "A Queueing Model and Analysis for Autonomous Vehicles on Highways," Management Science, INFORMS, vol. 67(5), pages 2904-2923, May.
  2. Bai, Lu & Wong, S.C. & Xu, Pengpeng & Chow, Andy H.F. & Lam, William H.K., 2021. "Calibration of stochastic link-based fundamental diagram with explicit consideration of speed heterogeneity," Transportation Research Part B: Methodological, Elsevier, vol. 150(C), pages 524-539.
  3. Zheng, Fangfang & Jabari, Saif Eddin & Liu, Henry X. & Lin, DianChao, 2018. "Traffic state estimation using stochastic Lagrangian dynamics," Transportation Research Part B: Methodological, Elsevier, vol. 115(C), pages 143-165.
  4. HongSheng Qi & DianHai Wang & Peng Chen & YiMing Bie, 2014. "Location-Dependent Lane-Changing Behavior for Arterial Road Traffic," Networks and Spatial Economics, Springer, vol. 14(1), pages 67-89, March.
  5. Gabriel Obed Fosu & Francis Tabi Oduro & Carlo Caligaris, 2021. "Multilane analysis of a viscous second-order macroscopic traffic flow model," Partial Differential Equations and Applications, Springer, vol. 2(1), pages 1-17, February.
  6. Zhang, Jin & Qu, Xiaobo & Wang, Shuaian, 2018. "Reproducible generation of experimental data sample for calibrating traffic flow fundamental diagram," Transportation Research Part A: Policy and Practice, Elsevier, vol. 111(C), pages 41-52.
  7. Wong, Wai & Wong, S.C., 2015. "Systematic bias in transport model calibration arising from the variability of linear data projection," Transportation Research Part B: Methodological, Elsevier, vol. 75(C), pages 1-18.
  8. Cheng, Qixiu & Liu, Zhiyuan & Lin, Yuqian & Zhou, Xuesong (Simon), 2021. "An s-shaped three-parameter (S3) traffic stream model with consistent car following relationship," Transportation Research Part B: Methodological, Elsevier, vol. 153(C), pages 246-271.
  9. Guan, Hao & Wang, Hua & Meng, Qiang & Mak, Chin Long, 2023. "Markov chain-based traffic analysis on platooning effect among mixed semi- and fully-autonomous vehicles in a freeway lane," Transportation Research Part B: Methodological, Elsevier, vol. 173(C), pages 176-202.
  10. Jabari, Saif Eddin, 2016. "Node modeling for congested urban road networks," Transportation Research Part B: Methodological, Elsevier, vol. 91(C), pages 229-249.
  11. Jin, Wen-Long, 2013. "A multi-commodity Lighthill–Whitham–Richards model of lane-changing traffic flow," Transportation Research Part B: Methodological, Elsevier, vol. 57(C), pages 361-377.
  12. Yidan Shangguan & Xuecheng Tian & Sheng Jin & Kun Gao & Xiaosong Hu & Wen Yi & Yu Guo & Shuaian Wang, 2023. "On the Fundamental Diagram for Freeway Traffic: Exploring the Lower Bound of the Fitting Error and Correcting the Generalized Linear Regression Models," Mathematics, MDPI, vol. 11(16), pages 1-15, August.
  13. McArthur, David Philip & Thorsen, Inge & Ubøe, Jan, 2009. "Congested Interregional Infrastructure, Road Pricing and Regional Labour Markets," Discussion Papers 2009/3, Norwegian School of Economics, Department of Business and Management Science.
  14. Saif Eddin Jabari & Nikolaos M. Freris & Deepthi Mary Dilip, 2020. "Sparse Travel Time Estimation from Streaming Data," Transportation Science, INFORMS, vol. 54(1), pages 1-20, January.
  15. Ou, Zhong-Hui, 2005. "Equilibrium functions of traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(2), pages 620-636.
  16. Mohammadian, Saeed & Zheng, Zuduo & Haque, Md. Mazharul & Bhaskar, Ashish, 2021. "Performance of continuum models for realworld traffic flows: Comprehensive benchmarking," Transportation Research Part B: Methodological, Elsevier, vol. 147(C), pages 132-167.
  17. Zhang, Peng & Wong, S.C. & Dai, S.Q., 2009. "A conserved higher-order anisotropic traffic flow model: Description of equilibrium and non-equilibrium flows," Transportation Research Part B: Methodological, Elsevier, vol. 43(5), pages 562-574, June.
  18. Babri, Sahar & McArthur, David Philip & Thorsen, Inge & Ubøe, Jan, 2013. "Optimum congestion pricing in a complex network," Discussion Papers 2013/4, Norwegian School of Economics, Department of Business and Management Science.
  19. Michael Z. F. Li, 2008. "A Generic Characterization of Equilibrium Speed-Flow Curves," Transportation Science, INFORMS, vol. 42(2), pages 220-235, May.
  20. Jin, Wen-Long, 2018. "Unifiable multi-commodity kinematic wave model," Transportation Research Part B: Methodological, Elsevier, vol. 117(PB), pages 639-659.
  21. Gao, Yuxing & Zhuang, Yifan & Dong, Fangshu & Peng, Fei & Zhang, Ping & Yang, Lizhong & Ni, Yong, 2020. "Experimental study on the effect of trolley case on unidirectional pedestrian flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 544(C).
  22. Qu, Xiaobo & Zhang, Jin & Wang, Shuaian, 2017. "On the stochastic fundamental diagram for freeway traffic: Model development, analytical properties, validation, and extensive applications," Transportation Research Part B: Methodological, Elsevier, vol. 104(C), pages 256-271.
  23. Wang, Haizhong & Li, Jia & Chen, Qian-Yong & Ni, Daiheng, 2011. "Logistic modeling of the equilibrium speed-density relationship," Transportation Research Part A: Policy and Practice, Elsevier, vol. 45(6), pages 554-566, July.
  24. Qu, Xiaobo & Wang, Shuaian & Zhang, Jin, 2015. "On the fundamental diagram for freeway traffic: A novel calibration approach for single-regime models," Transportation Research Part B: Methodological, Elsevier, vol. 73(C), pages 91-102.
  25. Jabari, Saif Eddin & Liu, Henry X., 2013. "A stochastic model of traffic flow: Gaussian approximation and estimation," Transportation Research Part B: Methodological, Elsevier, vol. 47(C), pages 15-41.
  26. Saenz-de-Miera, Oscar & Rosselló, Jaume, 2012. "The responsibility of tourism in traffic congestion and hyper-congestion: A case study from Mallorca, Spain," Tourism Management, Elsevier, vol. 33(2), pages 466-479.
  27. Yan, Qinglong & Sun, Zhe & Gan, Qijian & Jin, Wen-Long, 2018. "Automatic identification of near-stationary traffic states based on the PELT changepoint detection," Transportation Research Part B: Methodological, Elsevier, vol. 108(C), pages 39-54.
  28. Castillo, J. M. Del & Benítez, F. G., 1995. "On the functional form of the speed-density relationship--II: Empirical investigation," Transportation Research Part B: Methodological, Elsevier, vol. 29(5), pages 391-406, October.
  29. Fang, Yaling & Shi, Zhongke, 2015. "Chaos analysis and delayed-feedback control in a discrete dynamic coupled map traffic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 422(C), pages 40-46.
  30. Zhai, Cong & Wu, Weitiao, 2021. "A continuous traffic flow model considering predictive headway variation and preceding vehicle’s taillight effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).
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