IDEAS home Printed from https://ideas.repec.org/a/eee/transb/v38y2004i10p869-887.html
   My bibliography  Save this article

Optimal freeway ramp control without origin-destination information

Author

Listed:
  • Zhang, Lei
  • Levinson, David

Abstract

This paper develops an analytical framework for ramp metering, under which various ramp control strategies can be viewed as ramifications of the same most-efficient control logic with different threshold values, control methods, and equity considerations. The most-efficient control logic only meters the entrance ramps nearest critical freeway mainline sections so as to eliminate freeway internal queues, which is derived from a new formulation of the optimal ramp control problem. Instead of assuming the availability of real-time origin-destination information, the new formulation takes advantages of the stability and predictability of off-ramp exit percentages. Those properties of the off-ramp exit percentages are supported by empirical data, and allow us to formulate the optimal ramp control problem as a linear program whose input variables are all directly measurable by detectors in real-time. The solution is also tested on a real-world freeway section in a microscopic traffic simulator for demonstration. Time-dependent origin-destination tables and off-ramp exit percentages are compared as two alternative ways to represent the true real-time demand patterns that are important to freeway ramp metering.

Suggested Citation

  • Zhang, Lei & Levinson, David, 2004. "Optimal freeway ramp control without origin-destination information," Transportation Research Part B: Methodological, Elsevier, vol. 38(10), pages 869-887, December.
  • Handle: RePEc:eee:transb:v:38:y:2004:i:10:p:869-887
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0191-2615(04)00006-2
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

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

    Other versions of this item:

    References listed on IDEAS

    as
    1. Alan L. Erera & Carlos F. Daganzo & David J. Lovell, 2002. "The Access-Control Problem on Capacitated FIFO Networks With Unique O-D Paths is Hard," Operations Research, INFORMS, vol. 50(4), pages 736-743, August.
    2. Bogenberger, Klaus & May, Adolf D., 1999. "Advanced Coordinated Traffic Responsive Ramp Metering Strategies," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt3pq977ts, Institute of Transportation Studies, UC Berkeley.
    3. Zhang, H. M. & Recker, W. W., 1999. "On optimal freeway ramp control policies for congested traffic corridors," Transportation Research Part B: Methodological, Elsevier, vol. 33(6), pages 417-436, August.
    4. Lei Zhang & David Levinson, 2005. "Balancing Efficiency and Equity of Ramp Meters," Working Papers 200508, University of Minnesota: Nexus Research Group.
    5. Lovell, David J. & Daganzo, Carlos F., 2000. "Access control on networks with unique origin-destination paths," Transportation Research Part B: Methodological, Elsevier, vol. 34(3), pages 185-202, 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. Sheu, Jiuh-Biing & Yang, Hai, 2008. "An integrated toll and ramp control methodology for dynamic freeway congestion management," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(16), pages 4327-4348.
    2. Wu, Jiaming & Kulcsár, Balázs & Ahn, Soyoung & Qu, Xiaobo, 2020. "Emergency vehicle lane pre-clearing: From microscopic cooperation to routing decision making," Transportation Research Part B: Methodological, Elsevier, vol. 141(C), pages 223-239.
    3. Zheng, Liang & Xue, Xinfeng & Xu, Chengcheng & Ran, Bin, 2019. "A stochastic simulation-based optimization method for equitable and efficient network-wide signal timing under uncertainties," Transportation Research Part B: Methodological, Elsevier, vol. 122(C), pages 287-308.
    4. Zhang, Lei & Levinson, David, 2010. "Ramp metering and freeway bottleneck capacity," Transportation Research Part A: Policy and Practice, Elsevier, vol. 44(4), pages 218-235, May.
    5. Levinson, David & Zhang, Lei, 2006. "Ramp meters on trial: Evidence from the Twin Cities metering holiday," Transportation Research Part A: Policy and Practice, Elsevier, vol. 40(10), pages 810-828, December.
    6. Reilly, Jack & Martin, Sébastien & Payer, Mathias & Bayen, Alexandre M., 2016. "Creating complex congestion patterns via multi-objective optimal freeway traffic control with application to cyber-security," Transportation Research Part B: Methodological, Elsevier, vol. 91(C), pages 366-382.
    7. Kontorinaki, Maria & Karafyllis, Iasson & Papageorgiou, Markos, 2019. "Local and coordinated ramp metering within the unifying framework of an adaptive control scheme," Transportation Research Part A: Policy and Practice, Elsevier, vol. 128(C), pages 89-113.
    8. Schmitt, Marius & Ramesh, Chithrupa & Lygeros, John, 2017. "Sufficient optimality conditions for distributed, non-predictive ramp metering in the monotonic cell transmission model," Transportation Research Part B: Methodological, Elsevier, vol. 105(C), pages 401-422.
    9. He, Sheng-Xue, 2016. "Will a higher free-flow speed lead us to a less congested freeway?," Transportation Research Part A: Policy and Practice, Elsevier, vol. 85(C), pages 17-38.
    10. Pu Wang & Bin Wang & Rihong Ke & Hu Yang & Shengnan Li & Jianjun Dai, 2024. "Uncovering the Spatiotemporal Patterns of Regional and Local Driver Sources in a Freeway Network," Sustainability, MDPI, vol. 16(8), pages 1-17, April.

    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. Zhang, H.M. & Shen, Wei, 2010. "Access control policies without inside queues: Their properties and public policy implications," Transportation Research Part B: Methodological, Elsevier, vol. 44(8-9), pages 1132-1147, September.
    2. Levinson, David & Zhang, Lei, 2006. "Ramp meters on trial: Evidence from the Twin Cities metering holiday," Transportation Research Part A: Policy and Practice, Elsevier, vol. 40(10), pages 810-828, December.
    3. Shen, Wei & Zhang, H.M., 2010. "Pareto-improving ramp metering strategies for reducing congestion in the morning commute," Transportation Research Part A: Policy and Practice, Elsevier, vol. 44(9), pages 676-696, November.
    4. Gomes, Gabriel C., 2004. "Optimization and Microsimulation of On-ramp Metering for Congested Freeways," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt95k1q411, Institute of Transportation Studies, UC Berkeley.
    5. So, Stella Kin-Mang, 2010. "Managing City Evacuations," University of California Transportation Center, Working Papers qt23w302h9, University of California Transportation Center.
    6. Nebiyou Tilahun & David Levinson, 2013. "Selfishness and altruism in the distribution of travel time and income," Transportation, Springer, vol. 40(5), pages 1043-1061, September.
    7. Rodrigo C. Carlson & Ioannis Papamichail & Markos Papageorgiou & Albert Messmer, 2010. "Optimal Motorway Traffic Flow Control Involving Variable Speed Limits and Ramp Metering," Transportation Science, INFORMS, vol. 44(2), pages 238-253, May.
    8. Zhang, Lei & Levinson, David, 2010. "Ramp metering and freeway bottleneck capacity," Transportation Research Part A: Policy and Practice, Elsevier, vol. 44(4), pages 218-235, May.
    9. Laval, Jorge A. & Munoz, Juan Carlos, 2002. "System Optimum Diversion of Congested Freeway Traffic," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt8ps30578, Institute of Transportation Studies, UC Berkeley.
    10. Daganzo, Carlos F. & So, Stella K., 2011. "Managing evacuation networks," Transportation Research Part B: Methodological, Elsevier, vol. 45(9), pages 1424-1432.
    11. Sheu, Jiuh-Biing & Yang, Hai, 2008. "An integrated toll and ramp control methodology for dynamic freeway congestion management," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(16), pages 4327-4348.
    12. Kontorinaki, Maria & Karafyllis, Iasson & Papageorgiou, Markos, 2019. "Local and coordinated ramp metering within the unifying framework of an adaptive control scheme," Transportation Research Part A: Policy and Practice, Elsevier, vol. 128(C), pages 89-113.
    13. Xinkai Wu & David Levinson & Henry Liu, 2008. "Perception of Waiting Time at Signalized Intersections," Working Papers 200909, University of Minnesota: Nexus Research Group.
    14. Cheng, Harry H. & Shaw, Ben & Palen, Joe & Wang, Zhaoqing & Chen, Bo, 2002. "A Field-Deployable Real-Time Laser-Based Non-Intrusive Detection System for Measurement of True Travel Time on the Highway," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt3p71d33t, Institute of Transportation Studies, UC Berkeley.
    15. Wu, Wen-Xiang & Huang, Hai-Jun, 2019. "A combined, adaptive strategy for managing evacuation routes," Transportation Research Part B: Methodological, Elsevier, vol. 123(C), pages 182-198.
    16. Daganzo, Carlos F. & Laval, Jorge & Munoz, Juan Carlos, 2002. "Ten Strategies for Freeway Congestion Mitigation with Advanced Technologies," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt4kd6v6qf, Institute of Transportation Studies, UC Berkeley.
    17. Chengxi Liu & Yusak O. Susilo & Anders Karlström, 2017. "Weather variability and travel behaviour – what we know and what we do not know," Transport Reviews, Taylor & Francis Journals, vol. 37(6), pages 715-741, November.
    18. So, Stella K. & Daganzo, Carlos F., 2009. "Managing Evacuation Routes," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt75d4j8fm, Institute of Transportation Studies, UC Berkeley.
    19. Kerner, Boris S., 2005. "Control of spatiotemporal congested traffic patterns at highway bottlenecks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 355(2), pages 565-601.
    20. So, Stella Kin-Mang, 2010. "Managing City Evacuations," University of California Transportation Center, Working Papers qt5257005q, University of California Transportation Center.

    More about this item

    JEL classification:

    • R40 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics - - - General

    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:38:y:2004:i:10:p:869-887. 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.