IDEAS home Printed from https://ideas.repec.org/a/eee/transb/v60y2014icp85-106.html
   My bibliography  Save this article

Capacity optimization of an isolated intersection under the phase swap sorting strategy

Author

Listed:
  • Yan, Chiwei
  • Jiang, Hai
  • Xie, Siyang

Abstract

It is well recognized that the left turn reduces the intersection capacity significantly, because some of the traffic lanes cannot be used to discharge vehicles during its green phases. In this paper, we operationalize the phase swap sorting strategy (Xuan, 2011) to use most, if not all, traffic lanes to discharge vehicles at the intersection cross-section to increase its capacity. We explicitly take into consideration all through, left- and right-turning movements on all arms and formulate the capacity maximization problem as a Binary-Mixed-Integer-Linear-Programming (BMILP) model. The model is efficiently solved by standard branch-and-bound algorithms and outputs optimal signal timings, lane allocations, and other decisions. Numerical experiments show that substantially higher reserve capacity can be obtained under our approach.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:transb:v:60:y:2014:i:c:p:85-106
    DOI: 10.1016/j.trb.2013.12.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0191261513002208
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.trb.2013.12.001?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. Newell, Gordon F., 1989. "Theory of highway traffic signals," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt7zn2b9bc, Institute of Transportation Studies, UC Berkeley.
    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. Silcock, J. P., 1997. "Designing signal-controlled junctions for group-based operation," Transportation Research Part A: Policy and Practice, Elsevier, vol. 31(2), pages 157-173, March.
    5. Xuan, Yiguang & Daganzo, Carlos F. & Cassidy, Michael J., 2011. "Increasing the capacity of signalized intersections with separate left turn phases," Transportation Research Part B: Methodological, Elsevier, vol. 45(5), pages 769-781, June.
    6. 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.
    7. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. Yiming Bie & Zhiyuan Liu & Yinhai Wang, 2017. "A real-time traffic control method for the intersection with pre-signals under the phase swap sorting strategy," PLOS ONE, Public Library of Science, vol. 12(5), pages 1-22, May.
    3. Yi Wang & Jian Rong & Chenjing Zhou & Xin Chang & Siyang Liu, 2020. "An Analysis of the Interactions between Adjustment Factors of Saturation Flow Rates at Signalized Intersections," Sustainability, MDPI, vol. 12(2), pages 1-18, January.
    4. Muhammad Tahmidul Haq & Amirarsalan Mehrara Molan & Khaled Ksaibati, 2022. "Evaluating Pedestrian Service of the New Super Diverging Diamond Interchange on Three Case Study Sites in Denver, Colorado," Sustainability, MDPI, vol. 14(24), pages 1-17, December.
    5. Yan Li & Sirui Nan & Xiaolin Gong & Rui Ma, 2019. "A geometric design method for intersections with pre-signal systems using a phase swap sorting strategy," PLOS ONE, Public Library of Science, vol. 14(5), pages 1-22, May.
    6. Chen Zhao & Yulin Chang & Peng Zhang, 2018. "Coordinated Control Model of Main-Signal and Pre-Signal for Intersections with Dynamic Waiting Lanes," Sustainability, MDPI, vol. 10(8), pages 1-14, August.
    7. Tang, Liying & Liu, Yugang & Li, JiaLi & Qi, Ruiting & Zheng, Shuai & Chen, Bin & Yang, Hongtai, 2020. "Pedestrian crossing design and analysis for symmetric intersections: Efficiency and safety," Transportation Research Part A: Policy and Practice, Elsevier, vol. 142(C), pages 187-206.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Xuan, Yiguang & Daganzo, Carlos F. & Cassidy, Michael J., 2011. "Increasing the capacity of signalized intersections with separate left turn phases," Transportation Research Part B: Methodological, Elsevier, vol. 45(5), pages 769-781, June.
    3. 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.
    4. Memoli, Silvio & Cantarella, Giulio E. & de Luca, Stefano & Pace, Roberta Di, 2017. "Network signal setting design with stage sequence optimisation," Transportation Research Part B: Methodological, Elsevier, vol. 100(C), pages 20-42.
    5. Lee, Seunghyeon & Wong, S.C. & Varaiya, Pravin, 2017. "Group-based hierarchical adaptive traffic-signal control part I: Formulation," Transportation Research Part B: Methodological, Elsevier, vol. 105(C), pages 1-18.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. Wong, S. C. & Wong, W. T. & Leung, C. M. & Tong, C. O., 2002. "Group-based optimization of a time-dependent TRANSYT traffic model for area traffic control," Transportation Research Part B: Methodological, Elsevier, vol. 36(4), pages 291-312, May.
    13. 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.
    14. 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).
    15. Chen Zhao & Yulin Chang & Peng Zhang, 2018. "Coordinated Control Model of Main-Signal and Pre-Signal for Intersections with Dynamic Waiting Lanes," Sustainability, MDPI, vol. 10(8), pages 1-14, August.
    16. Ma, Wanjing & Liu, Ye & Zhao, Jing & Wu, Ning, 2017. "Increasing the capacity of signalized intersections with left-turn waiting areas," Transportation Research Part A: Policy and Practice, Elsevier, vol. 105(C), pages 181-196.
    17. 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.
    18. Dujardin, Yann & Vanderpooten, Daniel & Boillot, Florence, 2015. "A multi-objective interactive system for adaptive traffic control," European Journal of Operational Research, Elsevier, vol. 244(2), pages 601-610.
    19. 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.
    20. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:transb:v:60:y:2014:i:c:p:85-106. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/548/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.