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Optimal allocation of turns to lanes at an isolated signal-controlled junction

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  • Wong, C.K.
  • Heydecker, B.G.

Abstract

Conventional design methods require the lane marking patterns, which are painted on ground showing road users the permissible turning directions on different approach lanes, as exogenous inputs to define the traffic stream grouping for analysis. This predefined grouping of traffic movements may restrict the design of signal timings in the optimisation procedures. More recently, a lane-based design method has been developed to relax the lane markings as binary-type control variables in a mathematical programming approach. The lane marking patterns and the signal timings can then be optimised simultaneously in a unified framework. This paper presents an extension work to further relax the numbers of approach lane in traffic arms as new integer variables which can then be optimised to give optimal lane arrangement in various arms of a junction to manage the given traffic demands more efficiently. All well-defined signal timings variables in the phase-based approach as well as the lane marking and lane flow variables in the lane-based approach together with their governing constraints are all preserved in the new formulation for the reserve capacity optimisation of isolated signal-controlled junctions.

Suggested Citation

  • Wong, C.K. & Heydecker, B.G., 2011. "Optimal allocation of turns to lanes at an isolated signal-controlled junction," Transportation Research Part B: Methodological, Elsevier, vol. 45(4), pages 667-681, May.
  • Handle: RePEc:eee:transb:v:45:y:2011:i:4:p:667-681
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    References listed on IDEAS

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    1. Wong, S. C. & Yang, Hai, 1997. "Reserve capacity of a signal-controlled road network," Transportation Research Part B: Methodological, Elsevier, vol. 31(5), pages 397-402, October.
    2. Wong, C. K. & Wong, S. C., 2003. "Lane-based optimization of signal timings for isolated junctions," Transportation Research Part B: Methodological, Elsevier, vol. 37(1), pages 63-84, January.
    3. Gallivan, Stephen & Heydecker, Benjamin, 1988. "Optimising the control performance of traffic signals at a single junction," Transportation Research Part B: Methodological, Elsevier, vol. 22(5), pages 357-370, October.
    4. Improta, G. & Cantarella, G. E., 1984. "Control system design for an individual signalized junction," Transportation Research Part B: Methodological, Elsevier, vol. 18(2), pages 147-167, April.
    5. Wong, S. C., 1996. "On the reserve capacities of priority junctions and roundabouts," Transportation Research Part B: Methodological, Elsevier, vol. 30(6), pages 441-453, December.
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    Cited by:

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    2. Yu, Chunhui & Ma, Wanjing & Yang, Xiaoguang, 2020. "A time-slot based signal scheme model for fixed-time control at isolated intersections," Transportation Research Part B: Methodological, Elsevier, vol. 140(C), pages 176-192.
    3. Zhao, Jing & Yan, Jiachao & Wang, Jiawen, 2019. "Analysis of alternative treatments for left turn bicycles at tandem intersections," Transportation Research Part A: Policy and Practice, Elsevier, vol. 126(C), pages 314-328.
    4. Yu, Chunhui & Ma, Wanjing & Han, Ke & Yang, Xiaoguang, 2017. "Optimization of vehicle and pedestrian signals at isolated intersections," Transportation Research Part B: Methodological, Elsevier, vol. 98(C), pages 135-153.
    5. Yan, Chiwei & Jiang, Hai & Xie, Siyang, 2014. "Capacity optimization of an isolated intersection under the phase swap sorting strategy," Transportation Research Part B: Methodological, Elsevier, vol. 60(C), pages 85-106.
    6. Zhao, Jing & Li, Peng, 2016. "An extended car-following model with consideration of speed guidance at intersections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 1-8.
    7. Bo Feng & Mingming Zheng & Yan Liu, 2023. "Optimization of Signal Timing for the Contraflow Left-Turn Lane at Signalized Intersections Based on Delay Analysis," Sustainability, MDPI, vol. 15(8), pages 1-23, April.
    8. Farzaneh Montazeri & Fausto Errico & Luc Pellecuer, 2022. "Comparison of the Performance of Hybrid Traffic Signal Patterns and Conventional Alternatives When Accounting for Both Pedestrians and Vehicles," Sustainability, MDPI, vol. 14(20), pages 1-33, October.
    9. Mohebifard, Rasool & Hajbabaie, Ali, 2019. "Optimal network-level traffic signal control: A benders decomposition-based solution algorithm," Transportation Research Part B: Methodological, Elsevier, vol. 121(C), pages 252-274.
    10. C. K. Wong & Yi Liu, 2017. "Lane-Based Optimization for Macroscopic Network Configuration Designs," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-18, July.
    11. Wang, Tao & Yuan, Zijian & Zhang, Yuanshu & Zhang, Jing & Tian, Junfang, 2023. "A driving guidance strategy with pre-stop line at signalized intersection: Collaborative optimization of capacity and fuel consumption," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).
    12. Yu, Chunhui & Feng, Yiheng & Liu, Henry X. & Ma, Wanjing & Yang, Xiaoguang, 2018. "Integrated optimization of traffic signals and vehicle trajectories at isolated urban intersections," Transportation Research Part B: Methodological, Elsevier, vol. 112(C), pages 89-112.
    13. Fei Zhao & Liping Fu & Xiaofeng Pan & Tae J. Kwon & Ming Zhong, 2022. "Investigating the Effect of Network Traffic Signal Timing Strategy with Dynamic Variable Guidance Lanes," Sustainability, MDPI, vol. 14(15), pages 1-22, August.
    14. Chi-kwong Wong & Yiu-yin Lee, 2020. "Lane-Based Traffic Signal Simulation and Optimization for Preventing Overflow," Mathematics, MDPI, vol. 8(8), pages 1-28, August.

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