Proposed Empirical Approach to Measuring Traffic String Stability
Publication: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 8, Issue 2
Abstract
This study originated with the intent of qualifying traffic string stability from empirical observations. A new responsiveness angle measure was developed to assess driver instincts under vehicle-following conditions. In this measure, the degree of the follower vehicle’s attention towards its leader vehicle’s actions is quantified. In understanding string stability in the traffic stream and assessing the propagation of disturbances, the newly conceptualized measure was used along with a discrete Fourier transform to measure the frequencies associated with responsiveness angle sequences. In this transform, a higher frequency of the angle depicts unstable conditions and vice versa. In assessing string stability from the empirical observations, vehicular trajectory data were developed from three study sections. Two study sections tended to have homogeneous lane-wise traffic, whereas the third section had mixed (heterogeneous) traffic. The results of the string stability analysis over the study sections showed that string stability varied with the change in traffic flow conditions, road geometries, and traffic flow type. In the case of free-flow conditions, the traffic streams were found to be stable with marginal disturbances in the responsiveness angle. From the analysis, it was observed that, in the case of study Section 3, around 26 instances of the stream were extremely unstable conditions (frequency equal to 10). For study Sections 1 and 2, the traffic stream was unsteady for 4 and 13 instances, respectively. However, as the traffic flow level rose, string stability deteriorated. This study demonstrated a novel approach to analyzing string stability based on actual traffic conditions that can be implemented in real time for traffic stream monitoring.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request. This includes:
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Trajectory data.
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Python codes for computing the angle of responsiveness and Fourier transforms.
Acknowledgments
This research work is an outcome of MITACS Global Research Award. Application Ref IT16143.
References
Bando, M., K. Hasebe, A. Nakayama, A. Shibata, and Y. Sugiyama. 1995. “Dynamical model of traffic congestion and numerical simulation.” Phys. Rev. E 51 (2): 1035. https://doi.org/10.1103/PhysRevE.51.1035.
Chevalier, A., K. Coxon, A. J. Chevalier, E. Clarke, K. Rogers, J. Brown, S. Boufous, R. Ivers, and L. Keay. 2017. “Predictors of older drivers’ involvement in rapid deceleration events.” Accid. Anal. Prev. 98 (1): 312–319. https://doi.org/10.1016/j.aap.2016.10.010.
Guo, G., P. Li, and L. Y. Hao. 2020. “Adaptive fault-tolerant control of platoons with guaranteed traffic flow stability.” IEEE Trans. Veh. Technol. 69 (7): 6916–6927. https://doi.org/10.1109/TVT.2020.2990279.
Hao, L. Y., P. Li, and G. Guo. 2020. “String stability and flow stability for nonlinear vehicular platoons with actuator faults based on an improved quadratic spacing policy.” Nonlinear Dyn. 102 (4): 2725–2738. https://doi.org/10.1007/s11071-020-06094-4.
Herman, R., E. W. Montroll, R. B. Potts, and R. W. Rothery. 1959. “Traffic dynamics: Analysis of stability in car following.” Oper. Res. 7 (1): 86–106. https://doi.org/10.1287/opre.7.1.86.
Kesting, A., and M. Treiber. 2008. “How reaction time, update time, and adaptation time influence the stability of traffic flow.” Comput.-Aided Civ. Infrastruct. Eng. 23 (2): 125–137. https://doi.org/10.1111/j.1467-8667.2007.00529.x.
Kuang, Y., X. Qu, and S. Wang. 2015. “A tree-structured crash surrogate measure for freeways.” Accid. Anal. Prev. 77 (4): 137–148. https://doi.org/10.1016/j.aap.2015.02.007.
Li, F., and Y. Wang. 2017. “Cooperative adaptive cruise control for string stable mixed traffic: Benchmark and human-centered design.” IEEE Trans. Intell. Transp. Syst. 18 (12): 3473–3485. https://doi.org/10.1109/TITS.2017.2760805.
Li, Y., H. Wang, W. Wang, L. Xing, S. Liu, and X. Wei. 2017. “Evaluation of the impacts of cooperative adaptive cruise control on reducing rear-end collision risks on freeways.” Accid. Anal. Prev. 98 (1): 87–95. https://doi.org/10.1016/j.aap.2016.09.015.
Makridis, M., K. Mattas, B. Ciuffo, F. Re, A. Kriston, F. Minarini, and G. Rognelund. 2020. “Empirical study on the properties of adaptive cruise control systems and their impact on traffic flow and string stability.” Transp. Res. Rec. 2674 (4): 471–484. https://doi.org/10.1177/0361198120911047.
Meng, Q., and X. Qu. 2012. “Estimation of rear-end vehicle crash frequencies in urban road tunnels.” Accid. Anal. Prev. 48 (9): 254–263. https://doi.org/10.1016/j.aap.2012.01.025.
Milanés, V., and S. E. Shladover. 2014. “Modeling cooperative and autonomous adaptive cruise control dynamic responses using experimental data.” Transp. Res. Part C Emerging Technol. 48 (11): 285–300. https://doi.org/10.1016/j.trc.2014.09.001.
Montanino, M., J. Monteil, and V. Punzo. 2021. “From homogeneous to heterogeneous traffic flows: Lp string stability under uncertain model parameters.” Transp. Res. Part B Methodol. 146 (4): 136–154. https://doi.org/10.1016/j.trb.2021.01.009.
Montanino, M., and V. Punzo. 2021. “On string stability of a mixed and heterogeneous traffic flow: A unifying modelling framework.” Transp. Res. Part B Methodol. 144 (2): 133–154. https://doi.org/10.1016/j.trb.2020.11.009.
Papadoulis, A., M. Quddus, and M. Imprialou. 2019. “Evaluating the safety impact of connected and autonomous vehicles on motorways.” Accid. Anal. Prev. 124 (3): 12–22. https://doi.org/10.1016/j.aap.2018.12.019.
Pereira, J. L., and R. J. Rossetti. 2012. “An integrated architecture for autonomous vehicles simulation.” In Proc., 27th Annual ACM Symp. on Applied Computing, 286–292. New York: Association for Computing Machinery.
Plonka, G., D. Potts, G. Steidl, and M. Tasche. 2018. “Fourier transforms.” In Numerical Fourier analysis, 61–106. Cham, Switzerland: Birkhäuser.
Qin, Y., and S. Li. 2020. “String stability analysis of mixed CACC vehicular flow with vehicle-to-vehicle communication.” IEEE Access 8 (9): 174132–174141. https://doi.org/10.1109/ACCESS.2020.3026205.
Qin, Y. Y., H. Wang, W. Wang, and Q. Wan. 2017. “Mixed traffic flow string stability analysis for different CACC penetration ranges.” J. Transp. Syst. Eng. Inf. Technol. 17 (4): 63–69. https://doi.org/10.16097/j.cnki.1009-6744.2017.04.010.
Ruan, T., L. Zhou, and H. Wang. 2021. “Stability of heterogeneous traffic considering impacts of platoon management with multiple time delays.” Phys. A 583 (1): 126294. https://doi.org/10.1016/j.physa.2021.126294.
Stern, R. E., et al. 2018. “Dissipation of stop-and-go waves via control of autonomous vehicles: Field experiments.” Transp. Res. Part C Emerging Technol. 89 (Apr): 205–221. https://doi.org/10.1016/j.trc.2018.02.005.
Sun, J., Z. Zheng, and J. Sun. 2018. “Stability analysis methods and their applicability to car-following models in conventional and connected environments.” Transp. Res. Part B Methodol. 109 (Mar): 212–237. https://doi.org/10.1016/j.trb.2018.01.013.
Talebpour, A., and H. S. Mahmassani. 2016. “Influence of connected and autonomous vehicles on traffic flow stability and throughput.” Transp. Res. Part C Emerging Technol. 71 (10): 143–163. https://doi.org/10.1016/j.trc.2016.07.007.
Tordeux, A., S. Lassarre, and M. Roussignol. 2010. “An adaptive time gap car-following model.” Transp. Res. Part B Methodol. 44 (8–9): 1115–1131. https://doi.org/10.1016/j.trb.2009.12.018.
Van Arem, B., C. J. Van Driel, and R. Visser. 2006. “The impact of cooperative adaptive cruise control on traffic-flow characteristics.” IEEE Trans. Intell. Transp. Syst. 7 (4): 429–436. https://doi.org/10.1109/TITS.2006.884615.
Van der Horst, A. R. A., and J. H. Hogema. 1994. Time-to-collision and collision avoidance systems. Leidschendam, Netherlands: SWOV Institute for Road Safety Research.
Vicraman, V., C. Ronald, T. Mathew, and K. V. Rao. 2014. “Traffic data extractor.” Accessed March 11, 2018. http://www.civil.iitb.ac.in/tvm/tde2.
Yang, D., P. Jin, Y. Pu, and B. Ran. 2013. “Safe distance car-following model including backward-looking and its stability analysis.” Eur. Phys. J. B 86 (3): 1–11. https://doi.org/10.1140/epjb/e2012-30688-6.
Yao, Z., T. Xu, Y. Jiang, and R. Hu. 2021. “Linear stability analysis of heterogeneous traffic flow considering degradations of connected automated vehicles and reaction time.” Phys. A 561 (1): 125218. https://doi.org/10.1016/j.physa.2020.125218.
Ye, L., and T. Yamamoto. 2018. “Modeling connected and autonomous vehicles in heterogeneous traffic flow.” Phys. A 490 (1): 269–277. https://doi.org/10.1016/j.physa.2017.08.015.
Zhang, G., Y. Zhang, D. B. Pan, and R. J. Huang. 2019. “Study on the continuous delayed optimal flow on traffic stability in a new macro traffic model.” Phys. A 534 (11): 122029. https://doi.org/10.1016/j.physa.2019.122029.
Zhang, X., and D. F. Jarrett. 1997. “Stability analysis of the classical car-following model.” Transp. Res. Part B Methodol. 31 (6): 441–462. https://doi.org/10.1016/S0191-2615(97)00006-4.
Zhang, Y., Y. Bai, J. Hu, and M. Wang. 2020. “Control design, stability analysis, and traffic flow implications for cooperative adaptive cruise control systems with compensation of communication delay.” Transp. Res. Rec. 2674 (8): 638–652. https://doi.org/10.1177/0361198120918873.
Zhao, H., D. Xia, S. Yang, and G. Peng. 2020. “The delayed-time effect of traffic flux on traffic stability for two-lane freeway.” Phys. A 540 (2): 123066. https://doi.org/10.1016/j.physa.2019.123066.
Zheng, Z. 2021. “Reasons, challenges, and some tools for doing reproducible transportation research.” Commun. Transp. Res. 1 (1): 100004. https://doi.org/10.1016/j.commtr.2021.100004.
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© 2022 American Society of Civil Engineers.
History
Received: Sep 18, 2021
Accepted: Dec 16, 2021
Published online: Jan 27, 2022
Published in print: Jun 1, 2022
Discussion open until: Jun 27, 2022
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