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Modifications of the optimal velocity traffic model to include delay due to driver reaction time

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  1. Sun, Lu & Jafaripournimchahi, Ammar & Hu, Wusheng, 2020. "A forward-looking anticipative viscous high-order continuum model considering two leading vehicles for traffic flow through wireless V2X communication in autonomous and connected vehicle environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 556(C).
  2. Calvert, Simeon C. & Schakel, Wouter J. & van Lint, J.W.C., 2020. "A generic multi-scale framework for microscopic traffic simulation part II – Anticipation Reliance as compensation mechanism for potential task overload," Transportation Research Part B: Methodological, Elsevier, vol. 140(C), pages 42-63.
  3. Li, Xiaopeng & Wang, Xin & Ouyang, Yanfeng, 2012. "Prediction and field validation of traffic oscillation propagation under nonlinear car-following laws," Transportation Research Part B: Methodological, Elsevier, vol. 46(3), pages 409-423.
  4. Wang, Qiao & Song, Weiguo & Zhang, Jun & Wang, Shujie & Wu, Chunlin & Lo, Siuming, 2019. "Understanding single-file movement with ant experiments and a multi-grid CA model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 1-13.
  5. Wang, Xiao & Jiang, Rui & Li, Li & Lin, Yi-Lun & Wang, Fei-Yue, 2019. "Long memory is important: A test study on deep-learning based car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 786-795.
  6. Liu, Ronghui & Van Vliet, Dirck & Watling, David, 2006. "Microsimulation models incorporating both demand and supply dynamics," Transportation Research Part A: Policy and Practice, Elsevier, vol. 40(2), pages 125-150, February.
  7. Xiaomei, Zhao & Ziyou, Gao, 2007. "The stability analysis of the full velocity and acceleration velocity model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 375(2), pages 679-686.
  8. Ma, Guangyi & Li, Keping, 2024. "Analysis and simulation of vehicle following behavior with consideration of multiple time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 634(C).
  9. Sun, Lu & Jafaripournimchahi, Ammar & Kornhauser, Alain & Hu, Wushen, 2020. "A new higher-order viscous continuum traffic flow model considering driver memory in the era of autonomous and connected vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
  10. Ahmed Salem & Rawia Babusail, 2022. "Finite-Time Stability in Nonhomogeneous Delay Differential Equations of Fractional Hilfer Type," Mathematics, MDPI, vol. 10(9), pages 1-14, May.
  11. Yifan Pan & Yongjiang Wang & Baobin Miao & Rongjun Cheng, 2022. "Stabilization Strategy of a Novel Car-Following Model with Time Delay and Memory Effect of the Driver," Sustainability, MDPI, vol. 14(12), pages 1-20, June.
  12. Hosen, Md. Zakir & Hossain, Md. Anowar & Tanimoto, Jun, 2026. "Behavioral dynamics of a modified car-following model integrating multiple delays and driver reaction to the preceding vehicle taillight signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 685(C).
  13. Hossain, Md. Anowar & Tanimoto, Jun, 2022. "A microscopic traffic flow model for sharing information from a vehicle to vehicle by considering system time delay effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
  14. Arnaud Saval & Duc Pham Minh & Kevin Chapuis & Pierrick Tranouez & Clément Caron & Éric Daudé & Patrick Taillandier, 2023. "Dealing with mixed and non-normative traffic. An agent-based simulation with the GAMA platform," PLOS ONE, Public Library of Science, vol. 18(3), pages 1-27, March.
  15. Zheng, Liang & Jin, Peter J. & Huang, Helai, 2015. "An anisotropic continuum model considering bi-directional information impact," Transportation Research Part B: Methodological, Elsevier, vol. 75(C), pages 36-57.
  16. Mostafa H. Tawfeek, 2024. "Inter- and Intra-Driver Reaction Time Heterogeneity in Car-Following Situations," Sustainability, MDPI, vol. 16(14), pages 1-16, July.
  17. Li, Xiaopeng & Cui, Jianxun & An, Shi & Parsafard, Mohsen, 2014. "Stop-and-go traffic analysis: Theoretical properties, environmental impacts and oscillation mitigation," Transportation Research Part B: Methodological, Elsevier, vol. 70(C), pages 319-339.
  18. Nasser Hassan Sweilam & Seham Mahyoub Al-Mekhlafi & Taghreed Abdul Rahman Assiri, 2017. "Numerical Study for Time Delay Multistrain Tuberculosis Model of Fractional Order," Complexity, Hindawi, vol. 2017, pages 1-14, July.
  19. Ronan Keane & H. Oliver Gao, 2021. "Fast Calibration of Car-Following Models to Trajectory Data Using the Adjoint Method," Transportation Science, INFORMS, vol. 55(3), pages 592-615, May.
  20. N. H. Sweilam & M. M. Khader & A. M. S. Mahdy, 2012. "Numerical Studies for Fractional‐Order Logistic Differential Equation with Two Different Delays," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
  21. van Lint, J.W.C. & Calvert, S.C., 2018. "A generic multi-level framework for microscopic traffic simulation—Theory and an example case in modelling driver distraction," Transportation Research Part B: Methodological, Elsevier, vol. 117(PA), pages 63-86.
  22. Li, Xiaopeng & Ouyang, Yanfeng, 2011. "Characterization of traffic oscillation propagation under nonlinear car-following laws," Transportation Research Part B: Methodological, Elsevier, vol. 45(9), pages 1346-1361.
  23. Sun, Dihua & Chen, Dong & Zhao, Min & Liu, Weining & Zheng, Linjiang, 2018. "Linear stability and nonlinear analyses of traffic waves for the general nonlinear car-following model with multi-time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 501(C), pages 293-307.
  24. Lyu, Hao & Cheng, Rongjun & Ge, Hongxia, 2022. "Bifurcation analysis of an extended macro model considering time delay and anticipation effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
  25. Haifa Bin Jebreen & Ioannis Dassios, 2024. "The Collocation Method Based on the New Chebyshev Cardinal Functions for Solving Fractional Delay Differential Equations," Mathematics, MDPI, vol. 12(21), pages 1-15, October.
  26. Li, Xiaopeng & Peng, Fan & Ouyang, Yanfeng, 2010. "Measurement and estimation of traffic oscillation properties," Transportation Research Part B: Methodological, Elsevier, vol. 44(1), pages 1-14, January.
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