IDEAS home Printed from https://ideas.repec.org/a/eee/transb/v30y1996i3p217-244.html
   My bibliography  Save this article

Group-based optimisation of signal timings using the TRANSYT traffic model

Author

Listed:
  • Wong, S. C.

Abstract

This paper presents the group-based optimisation of signal timings for area traffic control. Using group-based control variables, the optimisation of signal timings is formulated as a set of non-linear mathematical programs. A conventional performance index, which is a weighted combination of estimated delays and stops, is evaluated by the traffic model from the well-known stage-based procedure TRANSYT and is used as the optimand, but it is considered here as a function of group-based control variables, the common cycle time, the start time and duration of the period of right of way for each signal group. These programs are then solved by an integer programming method. The cases of specified and unspecified cycle time are both discussed. Together with a previous hill-climbing technique some optimisation heuristics for the optimisation of signal timings using group-based notation are developed. These heuristics consist of a mixture of network-wide steps, in which control variables for signal settings at all junctions are changed simultaneously, and junction-based steps, in which the variables at each junction are changed in turn as happens in TRANSYT. A trial network from Leicestershire, England is used in examples to demonstrate the application and effectiveness of the optimisation heuristics.

Suggested Citation

  • Wong, S. C., 1996. "Group-based optimisation of signal timings using the TRANSYT traffic model," Transportation Research Part B: Methodological, Elsevier, vol. 30(3), pages 217-244, June.
    • Handle: RePEc:eee:transb:v:30:y:1996:i:3:p:217-244
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0191-2615(95)00028-3
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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, S. C., 1995. "Derivatives of the performance index for the traffic model from TRANSYT," Transportation Research Part B: Methodological, Elsevier, vol. 29(5), pages 303-327, October.
    2. 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.
    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. 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.
    2. Lee, Seunghyeon & Wong, S.C. & Varaiya, Pravin, 2017. "Group-based hierarchical adaptive traffic-signal control Part II: Implementation," Transportation Research Part B: Methodological, Elsevier, vol. 104(C), pages 376-397.
    3. Coogan, Samuel & Kim, Eric & Gomes, Gabriel & Arcak, Murat & Varaiya, Pravin, 2017. "Offset optimization in signalized traffic networks via semidefinite relaxation," Transportation Research Part B: Methodological, Elsevier, vol. 100(C), pages 82-92.
    4. 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.
    5. 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.
    6. Chow, Andy H.F. & Lo, Hong K., 2007. "Sensitivity analysis of signal control with physical queuing: Delay derivatives and an application," Transportation Research Part B: Methodological, Elsevier, vol. 41(4), pages 462-477, May.
    7. Wong, S. C. & Yang, Chao & Lo, Hong K., 2001. "A path-based traffic assignment algorithm based on the TRANSYT traffic model," Transportation Research Part B: Methodological, Elsevier, vol. 35(2), pages 163-181, February.
    8. 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.
    9. 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.
    10. Lee, Seunghyeon & Wong, S.C., 2017. "Group-based approach to predictive delay model based on incremental queue accumulations for adaptive traffic control systems," Transportation Research Part B: Methodological, Elsevier, vol. 98(C), pages 1-20.
    11. 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.

    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. 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.
    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. 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.
    4. 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.
    5. Wong, S. C., 1995. "Derivatives of the performance index for the traffic model from TRANSYT," Transportation Research Part B: Methodological, Elsevier, vol. 29(5), pages 303-327, October.
    6. Chow, Andy H.F. & Lo, Hong K., 2007. "Sensitivity analysis of signal control with physical queuing: Delay derivatives and an application," Transportation Research Part B: Methodological, Elsevier, vol. 41(4), pages 462-477, May.
    7. Wong, S. C. & Yang, Chao & Lo, Hong K., 2001. "A path-based traffic assignment algorithm based on the TRANSYT traffic model," Transportation Research Part B: Methodological, Elsevier, vol. 35(2), pages 163-181, February.
    8. Chiou, Suh-Wen, 2003. "TRANSYT derivatives for area traffic control optimisation with network equilibrium flows," Transportation Research Part B: Methodological, Elsevier, vol. 37(3), pages 263-290, March.
    9. Coogan, Samuel & Kim, Eric & Gomes, Gabriel & Arcak, Murat & Varaiya, Pravin, 2017. "Offset optimization in signalized traffic networks via semidefinite relaxation," Transportation Research Part B: Methodological, Elsevier, vol. 100(C), pages 82-92.
    10. 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.
    11. Chow, Andy H.F. & Li, Shuai & Zhong, Renxin, 2017. "Multi-objective optimal control formulations for bus service reliability with traffic signals," Transportation Research Part B: Methodological, Elsevier, vol. 103(C), pages 248-268.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. Lee, Seunghyeon & Wong, S.C. & Varaiya, Pravin, 2017. "Group-based hierarchical adaptive traffic-signal control Part II: Implementation," Transportation Research Part B: Methodological, Elsevier, vol. 104(C), pages 376-397.
    17. 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.
    18. Lee, Seunghyeon & Wong, S.C., 2017. "Group-based approach to predictive delay model based on incremental queue accumulations for adaptive traffic control systems," Transportation Research Part B: Methodological, Elsevier, vol. 98(C), pages 1-20.

    More about this item

    Statistics

    Access and download statistics

    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:30:y:1996:i:3:p:217-244. 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.