Cycle-Length Optimization of Isolated Signalized Intersection with Mixed-Traffic Condition
Publication: Journal of Transportation Engineering, Part A: Systems
Volume 150, Issue 1
Abstract
For signalized intersections with mixed traffic conditions, pedestrians and bicyclists (P&Bs) affect the vehicle saturation flow rate (SFR), which further influences the cycle length. However, existing studies always consider the effect of P&Bs on vehicle SFR as a constant, which is actually time-variant according to the P&Bs crossing state. Thus, it is necessary to consider this characteristic when determining the cycle length. This study developed a cycle-length model that considers the time-variant effect of P&Bs. The vehicle SFR is first modified using the adjustment factor method. By substituting the modified vehicle SFR into Webster’s delay formula, the numerical solutions of the optimal cycle were derived by considering the minimum vehicle delay as the target. Thereafter, using linear regression of the optimal and minimum cycles, the model was simplified, and an analytical solution of the optimal cycle was derived. The average deviation caused by simplification was 1.95%. The optimality of the model was validated by simulation, with significant reduction in vehicle delay compared with the traditional highway capacity manual (HCM) method.
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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 by request.
Acknowledgments
This study was supported by the National Natural Science Foundation of China (52131204 and 52272336) and the Fundamental Research Funds for the Central Universities (2022-5-YB-05 and 22120220580).
References
Ali, M. E. M., A. Durdu, S. A. Celtek, and A. Yilmaz. 2021. “An adaptive method for traffic signal control based on fuzzy logic with webster and modified webster formula using sumo traffic simulator.” IEEE Access 9 (Jul): 102985–102997. https://doi.org/10.1109/ACCESS.2021.3094270.
Allen, D. P., J. E. Hummer, N. M. Rouphail, and J. S. Milazzo. 1998. “Effect of bicycles on capacity of signalized intersections.” Transp. Res. Rec. 1646 (1): 87–95. https://doi.org/10.3141/1646-11.
Balla, S. N., and B. S. Balla. 2021. Modification of Webster’s delay model for heterogenous traffic conditions. Horsham, UK: ACA.
Chen, X., D. Qian, and D. Shi. 2011. “Multi-objective optimization method of signal timing for the non-motorized transport at intersection.” J. Transp. Syst. Eng. Inf. Technol. 11 (2): 106–111. https://doi.org/10.1016/S1570-6672(10)60118-3.
Chen, X., C. Shao, D. Li, and C. Dong. 2009. “Capacity reliability of signalized intersections with mixed traffic conditions.” Tsinghua Sci. Technol. 14 (3): 333–340. https://doi.org/10.1016/S1007-0214(09)70049-5.
Chen, X. M., C. F. Shao, and Y. Hao. 2008. “Influence of pedestrian traffic on capacity of right-turning movements at signalized intersections.” Transp. Res. Rec. 2073 (1): 114–124. https://doi.org/10.3141/2073-13.
Guo, Y., Q. Yu, Y. Zhang, and J. Rong. 2011. “Effect of bicycles on the saturation flow rate of turning vehicles at signalized intersections.” J. Transp. Eng. 138 (1): 21–30. https://doi.org/10.1061/(ASCE)TE.1943-5436.0000317.
Jiang, C., T. Chen, R. Li, L. Li, G. Li, C. Xu, and S. Li. 2019. “Construction of extended ant colony labor division model for traffic signal timing and its application in mixed traffic flow model of single intersection.” Concurrency Comput. Pract. Exper. 32 (7): e5592. https://doi.org/10.1002/cpe.5592.
Li, L., Y. Ma, B. Wang, H. Dong, and Z. Zhang. 2019. “Research on traffic signal timing method based on ant colony algorithm and fuzzy control theory.” Proc. Eng. Technol. Innovation 11 (Jan): 21–29.
Madrigal Arteaga, V. M., J. R. Pérez Cruz, A. Hurtado-Beltrán, and J. Trumpold. 2022. “Efficient intersection management based on an adaptive fuzzy-logic traffic signal.” Appl. Sci. 12 (12): 6024. https://doi.org/10.3390/app12126024.
Milazzo, J. S., N. M. Rouphail, J. E. Hummer, and D. P. Allen. 1998. “Effect of pedestrians on capacity of signalized intersections.” Transp. Res. Rec. 1646 (1): 37–46. https://doi.org/10.3141/1646-05.
Padinjarapat, R. K., and T. V. Mathew. 2021. “Estimation of saturation flow for non-lane based mixed traffic streams.” Transportmetrica B: Transport Dyn. 9 (1): 42–61. https://doi.org/10.1080/21680566.2020.1781708.
Roshandeh, A. M., H. S. Levinson, Z. Li, H. Patel, and B. Zhou. 2014. “New methodology for intersection signal timing optimization to simultaneously minimize vehicle and pedestrian delays.” J. Transp. Eng. 140 (5): 04014009. https://doi.org/10.1061/(ASCE)TE.1943-5436.0000658.
Sun, D., D. Wang, Y. Chen, and W. Guo. 2011. “Study on pedestrian signal cycle optimization.” In Vol. 1 of Proc., 2011 Fourth Int. Conf. on Intelligent Computation Technology and Automation, 515–519. New York: IEEE.
Sushmitha, R., and K. V. R. Ravishankar. 2021. “Effect of pedestrian crossing on saturation flow at signalized intersections in mixed traffic conditions.” Suranaree J. Sci. Technol. 28 (2): 1–12.
TRB (Transportation Research Board). 2016. Highway capacity manual. Washington, DC: TRB.
Webster, F. V. 1958. Traffic signal settings. London: Her Majesty’s Stationary Office.
Yang, C., J. Wang, and J. Dong. 2020. “Capacity model of exclusive right-turn lane at signalized intersection considering pedestrian-vehicle interaction.” J. Adv. Transp. 2020 (Aug): 1–19. https://doi.org/10.1155/2020/1534564.
Yu, Q., J.-G. Liu, J. Rong, and X.-M. Liu. 2010. “A signal control strategy for right-turning vehicles based on the conglomeration.” In Proc., ICCTP 2010: Integrated Transportation Systems: Green, Intelligent, Reliable, 1149–1154. Reston, VA: ASCE.
Zhang, H., H. Yuan, Y. Chen, W. Yu, C. Wang, J. Wang, and Y. Gao. 2021. “Traffic light optimization based on modified webster function.” J. Adv. Transp. 2021 (Aug): 1–10. https://doi.org/10.1155/2021/3328202.
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History
Received: Dec 26, 2022
Accepted: Aug 31, 2023
Published online: Nov 3, 2023
Published in print: Jan 1, 2024
Discussion open until: Apr 3, 2024
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