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Modelling and sensitivity analysis of uncoordinated paired intersections with left-turn bays

    Ronghan Yao Affiliation
    ; Wensong Zhang Affiliation
    ; Meng Long Affiliation

Abstract

Left-turn bays are often installed on the road segment between paired intersections. Such left-turn bays may reduce the approach capacities and impact on one another. Four optimization models are put forward for uncoordinated paired intersections with left-turn bays. The phase effective green times and the left-turn bay lengths are the decision variables, maximizing the intersection capacities, minimizing the intersection delays and both of them are respectively regarded as different objective functions, and minimizing the total delay for paired intersections is viewed as another objective function. The total capacity-to-delay ratio is defined to evaluate the operations of paired intersections as a whole. Using the field data, the sensitivities of the optimized outcomes to the weighting factors of the objective functions are analysed. To clarify the influences of different scenarios on traffic stream operations, seven scenarios are tested using VISSIM. The interval estimation and hypothesis testing are used to analyse the simulated data. Three concrete models are recommended to apply in practice with the procedure of model application being provided. The achievements can be applied to optimally assign the temporal-spacial resources for paired intersections when left-turn bays need to be installed and coordinated signals do not need to be considered.


First published online 26 March 2020

Keyword : paired intersections, left-turn bays, uncoordinated signals, signal timings, optimization, sensitivity analysis

How to Cite
Yao, R., Zhang, W., & Long, M. (2020). Modelling and sensitivity analysis of uncoordinated paired intersections with left-turn bays. Transport, 35(3), 283-299. https://doi.org/10.3846/transport.2020.12271
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Jul 9, 2020
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This work is licensed under a Creative Commons Attribution 4.0 International License.

References

Akçelik, R. 1998. Traffic Signals: Capacity and Timing Analysis. Australian Road Research Board (ARRB) Transport Research Ltd, Victoria, Australia. 108 p.

FGSV. 2003. Guidelines for Traffic Signals (RiLSA). Road and Transportation Research Association – Forschungsgesellschaft für Straßen- und Verkehrswesen (FGSV), Cologne, Germany. 182 p.

Gan, Y.; Tian, F.; Li, W.; et al. 2005. Operations Research. Tsinghua University Press, Beijing, China. (in Chinese).

Highway Capacity Manual. 2000. Transportation Research Board (TRB), National Research Council. Washington, DC, US. 1134 p.

Kikuchi, S.; Kii, M.; Chakroborty, P. 2004. Lengths of double or dual left-turn lanes, Transportation Research Record: Journal of the Transportation Research Board 1881: 72–78. https://doi.org/10.3141/1881-09

Kikuchi, S.; Kronprasert, N. 2010. Determining lengths of left-turn lanes at signalized intersections under different left-turn signal schemes, Transportation Research Record: Journal of the Transportation Research Board 2195: 70–81. https://doi.org/10.3141/2195-08

Kikuchi, S.; Kronprasert, N.; Kii, M. 2007. Lengths of turn lanes on intersection approaches: three-branch fork lanes–left-turn, through, and right-turn lanes, Transportation Research Record: Journal of the Transportation Research Board 2023: 92–101. https://doi.org/10.3141/2023-10

Lee, J.-J.; Rouphail, N. M.; Hummer, J. E. 2005. Models for lane utilization prediction for lane drop intersections, Transportation Research Record: Journal of the Transportation Research Board 1912: 47–56. https://doi.org/10.3141/1912-06

Liu, M.; Xu, L.; Shen, L. X.; Jin, S. 2019. Modeling capacity at signalized intersections with a left-turn storage bay considering signal timing plan, Journal of Transportation Engineering, Part A: Systems 145(2): 04018084. https://doi.org/10.1061/JTEPBS.0000210

Osei-Asamoah, A.; Kulshrestha, A.; Washburn, S. S.; Yin, Y. 2010. Impact of left-turn spillover on through movement discharge at signalized intersections, Transportation Research Record: Journal of the Transportation Research Board 2173: 80–88. https://doi.org/10.3141/2173-10

PTV. 2012. PTV VISSIM 5.40 User Manual. Planung Transport Verkehr (PTV) AG, Karlsruhe, Germany.

PTV. 2014. PTV VISSIM 6.00 User Manual. Planung Transport Verkehr (PTV) AG, Karlsruhe, Germany.

Qi, Y.; Guo, L.; Yu, L.; Teng, H. 2012. Estimation of design lengths of left-turn lanes, Journal of Transportation Engineering 138(3): 274–283. https://doi.org/10.1061/(ASCE)TE.1943-5436.0000299

Qi, Y.; Yu, L.; Azimi, M.; Guo, L. 2007. Determination of storage lengths of left-turn lanes at signalized intersections, Transportation Research Record: Journal of the Transportation Research Board 2023: 102–111. https://doi.org/10.3141/2023-11

Quan, Y. S. 1989. Urban Traffic Control. China Communications Press Ltd. (in Chinese).

Sun, J. 2014. Guidelines for Microscopic Traffic Simulation Analysis. Tongji University Press, Shanghai, China. (in Chinese).

Tageldin, A.; Sayed, T.; Ismail, K. 2018. Evaluating the safety and operational impacts of left-turn bay extension at signalized intersections using automated video analysis, Accident Analysis & Prevention 120: 13–27. https://doi.org/10.1016/j.aap.2018.07.029

Tian, Z. Z.; Wu, N. 2006. Probabilistic model for signalized intersection capacity with a short right-turn lane, Journal of Transportation Engineering 132(3): 205–212. https://doi.org/10.1061/(ASCE)0733-947X(2006)132:3(205)

Wu, B.; Li, Y. 2015. Traffic Management and Control. 5th Edition. China Communications Press Ltd. (in Chinese).

Wu, N. 2007. Total approach capacity at signalized intersections with shared and short lanes: generalized model based on a simulation study, Transportation Research Record: Journal of the Transportation Research Board 2027: 19–26. https://doi.org/10.3141/2027-03

Yang, J.; Zhou, H. 2011. Integrating left-turn lane geometric design with signal timing, Journal of Transportation Engineering 137(11): 767–774. https://doi.org/10.1061/(ASCE)TE.1943-5436.0000282

Yao, R. 2013a. Sensitivity analysis of optimization models for isolated intersections with short left-turn lanes on approaches, Journal of Advanced Transportation 47(1): 28–42. https://doi.org/10.1002/atr.1185

Yao, R. 2013b. Sensitivity analysis of optimization models for two adjacent intersections with correlated short left-turn lanes, Transport 28(3): 256–269. https://doi.org/10.3846/16484142.2013.829781

Yao, R. 2016. Settings of short left-turn lane and signal phase sequence for isolated signalized intersections, Transport 31(4): 416–426. https://doi.org/10.3846/16484142.2014.915427

Yao, R.; Wang, J.; Jia, J. 2012. Synergistic optimization of short lane length and signal timing parameters for two adjacent intersections, Journal of Dalian University of Technology 52(4): 546–552. (in Chinese).

Yao, R.; Wang, J.; Wang, T.; Zhu, C. 2011. Synergistic optimization model of length and signal timing parameters of left-turn short lane, Communications Standardization (9): 167–172. (in Chinese).

Yin, K.; Zhang, Y.; Wang, B. X. 2010. Analytical models for protected plus permitted left-turn capacity at signalized intersection with heavy traffic, Transportation Research Record: Journal of the Transportation Research Board 2192: 177–184. https://doi.org/10.3141/2192-17

Yin, K.; Zhang, Y.; Wang, B. X. 2011. Modeling delay during heavy traffic for signalized intersections with short left-turn bays, Transportation Research Record: Journal of the Transportation Research Board 2257: 103–110. https://doi.org/10.3141/2257-12

Zhang, K. Y.; Gao, W. S. 1997. Probability Theory and Mathematical Statistics. Northeast Normal University Press, Changchun, China. (in Chinese).

Zhang, Y.; Tong, J. 2008. Modeling left-turn blockage and capacity at signalized intersection with short left-turn bay, Transportation Research Record: Journal of the Transportation Research Board 2071: 71–76. https://doi.org/10.3141/2071-09

Zheng, L.; Sayed, T.; Tageldin, A. 2018. Before-after safety analysis using extreme value theory: a case of left-turn bay extension, Accident Analysis & Prevention 121: 258–267. https://doi.org/10.1016/j.aap.2018.09.023