Real-Time Prediction of Lane-Based Delay Using Incremental Queue Accumulation
Publication: Journal of Transportation Engineering, Part A: Systems
Volume 145, Issue 12
Abstract
Using a real-time prediction model of lane-based queue lengths, the authors predicted the lane-based delay using real-time prediction of the incremental queue accumulation (IQA), which can effectively overcome the difficulty of field data collection when using the IQA to calculate the delay. The authors used the Lighthill–Whitham–Richards (LWR) shockwave theory to analyze the IQA changes under different shockwaves. The proposed model was divided into underflow and overflow cases to illustrate the variation of the IQA when a residual queue exists. Two types of delay formulas were considered regarding the effects of the signal offset: coordinated lane and noncoordinated lane delays. The model was tested in a field experiment and compared with the Webster model and the Highway Capacity Manual IQA model, and the results showed that the model has satisfactory accuracy and strong robustness.
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Acknowledgments
This work was supported by the National Natural Science Foundation of China (Grant No. 61364019); and the Key Laboratory of Urban ITS Technology Optimization and Integration Ministry of Public Security of China (Grant No. 2017KFKT04).
References
Akçelik, R. 1980. “Time-dependent expressions for delay, stop rate and queue length at traffic signals.” Accessed January 18, 2018. https://www.researchgate.net/publication/265162396_Time-Dependent_Expressions_for_Delay_Stop_Rate_and_Queue_Length_at_Traffic_Signals.
Allsop, R. E. 1972. “Delay at a fixed time traffic signal. Part I: Theoretical analysis.” Transp. Sci. 6 (3): 260–285. https://doi.org/10.1287/trsc.6.3.260.
Dion, F., H. Rakha, and Y. S. Kang. 2004. “Comparison of delay estimates at under-saturated and over-saturated pre-timed signalized intersections.” Transp. Res. Part B: Method. 38 (2): 99–122. https://doi.org/10.1016/s0191-2615(03)00003-1.
Keita, Y. M., and M. Saito. 2011. “Evaluation of the IQA delay estimation method.” Procedia-Soc. Behav. Sci. 16 (16): 792–802. https://doi.org/10.1016/j.sbspro.2011.04.498.
Kyte, M., A. Abdel-Rahim, M. Dixon, J. M. Li, and D. Strong. 2009. “Validating the incremental queue accumulation method for left-turn delay estimation.” Transp. Res. Rec. 2130 (1): 42–51. https://doi.org/10.3141/2130-06.
Lee, S., and S. C. Wong. 2017a. “Group-based approach to derivatives of delay models based on incremental queue accumulations for isolated signalized junctions.” Transportmetrica B 7 (1): 202–222. https://doi.org/10.1080/21680566.2017.1377646.
Lee, S., and S. C. Wong. 2017b. “Group-based approach to predictive delay model based on incremental queue accumulations for adaptive traffic control systems.” Transp. Res. Part B: Method. 98 (Apr): 1–20. https://doi.org/10.1016/j.trb.2016.12.008.
Lee, S., S. C. Wong, and Y. C. Li. 2015. “Real-time estimation of lane-based queue lengths at isolated signalized junctions.” Transp. Res. Part C: Emerging Technol. 56 (Jul): 1–17. https://doi.org/10.1016/j.trc.2015.03.019.
Lee, S., S. C. Wong, and P. Varaiya. 2017c. “Group-based hierarchical adaptive traffic-signal control part I: Formulation.” Transp. Res. Part B: Method. 105 (Nov): 1–18. https://doi.org/10.1016/j.trb.2017.08.008.
Lee, S., S. C. Wong, and P. Varaiya. 2017d. “Group-based hierarchical adaptive traffic-signal control part II: Implementation.” Transp. Res. Part B: Method. 104 (Oct): 376–397. https://doi.org/10.1016/j.trb.2017.08.009.
Li, B., W. Cheng, and L. Li. 2018a. “Real-time prediction of lane-based queue lengths for signalized intersections.” J. Adv. Transp. 2018 (3): 1–18. https://doi.org/10.1155/2018/5020518.
Li, L., W. Huang, and K. L. Hong. 2018b. “Adaptive coordinated traffic control for stochastic demand.” Transp. Res. Part C: Emerging Technol. 88 (Mar): 31–51. https://doi.org/10.1016/j.trc.2018.01.007.
Lighthill, M. J., and G. B. Whitham. 1955. “On kinematic waves. I: Flood movement in long rivers.” Proc. R. Soc. A 229 (1178): 281–316. https://doi.org/10.1098/rspa.1955.0088.
Lindley, D. V. 1952. “The theory of queues with a single server.” Math. Proc. Cambridge Philos. Soc. 48 (2): 277–289. https://doi.org/10.1017/S0305004100027638.
Ma, W., K. An, and K. L. Hong. 2016. “Multi-stage stochastic program to optimize signal timings under coordinated adaptive control.” Transp. Res. Part C: Emerging Technol. 72 (Nov): 342–359. https://doi.org/10.1016/j.trc.2016.10.002.
Miller, A. J. 1963. “A computer control system for traffic networks.” In Proc., 2nd Int. Symp. on the Theory of Traffic Flow, 200–220. Paris: Organisation for Economic Co-operation and Development.
Richards, P. I. 1956. “Shock waves on the highway.” Oper. Res. 4 (1): 42–51. https://doi.org/10.1287/opre.4.1.42.
Rouphail, N. M., K. G. Courage, and D. W. Strong. 2006. “New calculation method for existing and extended highway capacity manual delay estimation procedures.” In Proc., Transportation Research Board 85th Annual Meeting. Washington, DC: Tranportation Research Board.
Saaty, T. L. 1961. “ELements of queueing theory: With application.” Accessed February 2, 2018. https://www.researchgate.net/publication/44441972_ELements_of_queueing_theory_with_applications_Thomas_L_Saaty.
TRB (Transportation Research Board). 2010. Highway capacity manual. Washington, DC: TRB.
Webster, F. V. 1958. “Traffic signal settings.” Accessed February 16, 2018. https://trid.trb.org/view.aspx?id=113579.
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Published In
Journal of Transportation Engineering, Part A: Systems
Volume 145 • Issue 12 • December 2019
Copyright
©2019 American Society of Civil Engineers.
History
Received: Nov 29, 2018
Accepted: Apr 9, 2019
Published online: Sep 28, 2019
Published in print: Dec 1, 2019
Discussion open until: Feb 28, 2020
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