IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v387y2008i16p4327-4348.html
   My bibliography  Save this article

An integrated toll and ramp control methodology for dynamic freeway congestion management

Author

Listed:
  • Sheu, Jiuh-Biing
  • Yang, Hai

Abstract

This paper investigates an integrated freeway traffic management system, which coordinates both dynamic toll pricing and ramp control strategies for the purpose of dynamic freeway congestion management. The proposed integrated dynamic toll-ramp control methodology is built mainly on the principles of stochastic optimal control approaches, involving two developmental procedures. First, through detector configurations and system specification, a discrete-time nonlinear stochastic system is formulated to characterize the time-varying relationships of system states, control variables, and traffic data. Then, by employing the extended Kalman filtering technology, a stochastic optimal control based algorithm is proposed to execute the integrated dynamic toll and ramp control mechanism. With the aid of the Paramics microscopic traffic simulator, numerical studies under various simulated freeway congestion scenarios are conducted. Corresponding numerical results demonstrate the applicability of the proposed methodology in response to diverse freeway traffic congestion phenomena, and its relative advantages in improving both the average travel time and hourly throughputs by 16.4% and 16.5%, respectively.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:16:p:4327-4348
    DOI: 10.1016/j.physa.2008.02.049
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437108002343
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2008.02.049?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. Levinson, David & Chang, Elva, 2003. "A model for optimizing electronic toll collection systems," Transportation Research Part A: Policy and Practice, Elsevier, vol. 37(4), pages 293-314, May.
    2. Dial, Robert B., 2000. "Minimal-revenue congestion pricing Part II: An efficient algorithm for the general case," Transportation Research Part B: Methodological, Elsevier, vol. 34(8), pages 645-665, November.
    3. 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.
    4. Henderson, J. V., 1974. "Road congestion : A reconsideration of pricing theory," Journal of Urban Economics, Elsevier, vol. 1(3), pages 346-365, July.
    5. 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.
    6. Yang, Hai & Meng, Qiang, 1998. "Departure time, route choice and congestion toll in a queuing network with elastic demand," Transportation Research Part B: Methodological, Elsevier, vol. 32(4), pages 247-260, May.
    7. Dial, Robert B., 1999. "Minimal-revenue congestion pricing part I: A fast algorithm for the single-origin case," Transportation Research Part B: Methodological, Elsevier, vol. 33(3), pages 189-202, April.
    8. Evans, Alan W, 1992. "Road Congestion: The Diagrammatic Analysis: Comment," Journal of Political Economy, University of Chicago Press, vol. 100(1), pages 211-217, February.
    9. Jiuh-Biing Sheu, 2003. "Erratum: A Stochastic Modeling Approach to Real-Time Prediction of Queue Overflows," Transportation Science, INFORMS, vol. 37(2), pages 230-252, May.
    10. Z.F. Li, Michael, 1999. "Estimating congestion toll by using traffic count data -- Singapore's area licensing scheme," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 35(1), pages 1-10, March.
    11. Keeler, Theodore E & Small, Kenneth A, 1977. "Optimal Peak-Load Pricing, Investment, and Service Levels on Urban Expressways," Journal of Political Economy, University of Chicago Press, vol. 85(1), pages 1-25, February.
    12. Jiuh-Biing Sheu, 2002. "A Stochastic Optimal Control Approach to Real-time, Incident-Responsive Traffic Signal Control at Isolated Intersections," Transportation Science, INFORMS, vol. 36(4), pages 418-434, November.
    13. Yang, Hai & Meng, Qiang & Lee, Der-Horng, 2004. "Trial-and-error implementation of marginal-cost pricing on networks in the absence of demand functions," Transportation Research Part B: Methodological, Elsevier, vol. 38(6), pages 477-493, July.
    14. Verhoef, Erik T., 2002. "Second-best congestion pricing in general networks. Heuristic algorithms for finding second-best optimal toll levels and toll points," Transportation Research Part B: Methodological, Elsevier, vol. 36(8), pages 707-729, September.
    15. Penchina, Claude M., 2004. "Minimal-revenue congestion pricing: some more good-news and bad-news," Transportation Research Part B: Methodological, Elsevier, vol. 38(6), pages 559-570, July.
    16. Sheu, Jiuh-Biing, 1999. "A stochastic modeling approach to dynamic prediction of section-wide inter-lane and intra-lane traffic variables using point detector data," Transportation Research Part A: Policy and Practice, Elsevier, vol. 33(2), pages 79-100, February.
    17. Jiuh-Biing Sheu, 2003. "A Stochastic Modeling Approach to Real-Time Prediction of Queue Overflows," Transportation Science, INFORMS, vol. 37(1), pages 97-119, February.
    18. Yang, Hai & Huang, Hai-Jun, 1998. "Principle of marginal-cost pricing: how does it work in a general road network?," Transportation Research Part A: Policy and Practice, Elsevier, vol. 32(1), pages 45-54, January.
    19. Zhang, Xiaoning & Yang, Hai, 2004. "The optimal cordon-based network congestion pricing problem," Transportation Research Part B: Methodological, Elsevier, vol. 38(6), pages 517-537, July.
    20. Yang, Hai, 1997. "Sensitivity analysis for the elastic-demand network equilibrium problem with applications," Transportation Research Part B: Methodological, Elsevier, vol. 31(1), pages 55-70, February.
    21. Sheu, Jiuh-Biing & Ritchie, Stephen G., 2001. "Stochastic modeling and real-time prediction of vehicular lane-changing behavior," Transportation Research Part B: Methodological, Elsevier, vol. 35(7), pages 695-716, August.
    22. May, A. D. & Milne, D. S., 2000. "Effects of alternative road pricing systems on network performance," Transportation Research Part A: Policy and Practice, Elsevier, vol. 34(6), pages 407-436, August.
    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. Chen, Jing & Lin, Lan & Jiang, Rui, 2017. "Assigning on-ramp flows to maximize capacity of highway with two on-ramps and one off-ramp in between," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 347-357.

    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. Meng, Qiang & Liu, Zhiyuan & Wang, Shuaian, 2012. "Optimal distance tolls under congestion pricing and continuously distributed value of time," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(5), pages 937-957.
    2. Zhang, H. M. & Ge, Y. E., 2004. "Modeling variable demand equilibrium under second-best road pricing," Transportation Research Part B: Methodological, Elsevier, vol. 38(8), pages 733-749, September.
    3. Sheu, Jiuh-Biing, 2007. "Microscopic modeling and control logic for incident-responsive automatic vehicle movements in single-automated-lane highway systems," European Journal of Operational Research, Elsevier, vol. 182(2), pages 640-662, October.
    4. Ho, H.W. & Wong, S.C. & Yang, Hai & Loo, Becky P.Y., 2005. "Cordon-based congestion pricing in a continuum traffic equilibrium system," Transportation Research Part A: Policy and Practice, Elsevier, vol. 39(7-9), pages 813-834.
    5. Gentile, Guido & Papola, Natale & Persia, Luca, 2005. "Advanced pricing and rationing policies for large scale multimodal networks," Transportation Research Part A: Policy and Practice, Elsevier, vol. 39(7-9), pages 612-631.
    6. Stewart, Kathryn, 2007. "Tolling traffic links under stochastic assignment: Modelling the relationship between the number and price level of tolled links and optimal traffic flows," Transportation Research Part A: Policy and Practice, Elsevier, vol. 41(7), pages 644-654, August.
    7. Erik T. Verhoef, 1998. "An Integrated Dynamic Model of Road Traffic Congestion based on Simple Car-Following Theory," Tinbergen Institute Discussion Papers 98-030/3, Tinbergen Institute.
    8. Mun, Se-il & Konishi, Ko-ji & Yoshikawa, Kazuhiro, 2005. "Optimal cordon pricing in a non-monocentric city," Transportation Research Part A: Policy and Practice, Elsevier, vol. 39(7-9), pages 723-736.
    9. Button, Kenneth, 2004. "1. The Rationale For Road Pricing: Standard Theory And Latest Advances," Research in Transportation Economics, Elsevier, vol. 9(1), pages 3-25, January.
    10. Verhoef, Erik T. & Koh, Andrew & Shepherd, Simon, 2010. "Pricing, capacity and long-run cost functions for first-best and second-best network problems," Transportation Research Part B: Methodological, Elsevier, vol. 44(7), pages 870-885, August.
    11. Yang, Hai & Wang, Xiaolei, 2011. "Managing network mobility with tradable credits," Transportation Research Part B: Methodological, Elsevier, vol. 45(3), pages 580-594, March.
    12. Jyh-Fa Tsai & Shao-Yu Lu, 2018. "Reducing traffic externalities by multiple-cordon pricing," Transportation, Springer, vol. 45(2), pages 597-622, March.
    13. Verhoef, Erik T., 2001. "An Integrated Dynamic Model of Road Traffic Congestion Based on Simple Car-Following Theory: Exploring Hypercongestion," Journal of Urban Economics, Elsevier, vol. 49(3), pages 505-542, May.
    14. Jiashan Wang & Yingying Kang & Changhyun Kwon & Rajan Batta, 2012. "Dual Toll Pricing for Hazardous Materials Transport with Linear Delay," Networks and Spatial Economics, Springer, vol. 12(1), pages 147-165, March.
    15. Yang, Hai & Huang, Hai-Jun, 2004. "The multi-class, multi-criteria traffic network equilibrium and systems optimum problem," Transportation Research Part B: Methodological, Elsevier, vol. 38(1), pages 1-15, January.
    16. Verhoef, Erik T., 2003. "Inside the queue:: hypercongestion and road pricing in a continuous time-continuous place model of traffic congestion," Journal of Urban Economics, Elsevier, vol. 54(3), pages 531-565, November.
    17. Yang, Hai & Zhang, Xiaoning & Meng, Qiang, 2004. "Modeling private highways in networks with entry-exit based toll charges," Transportation Research Part B: Methodological, Elsevier, vol. 38(3), pages 191-213, March.
    18. Gonzales, Eric J., 2016. "Demand responsive transit systems with time-dependent demand: User equilibrium, system optimum, and management strategyAuthor-Name: Amirgholy, Mahyar," Transportation Research Part B: Methodological, Elsevier, vol. 92(PB), pages 234-252.
    19. Chu, Chih-Peng & Tsai, Jyh-Fa, 2008. "The optimal location and road pricing for an elevated road in a corridor," Transportation Research Part A: Policy and Practice, Elsevier, vol. 42(5), pages 842-856, June.
    20. Maruyama, Takuya & Sumalee, Agachai, 2007. "Efficiency and equity comparison of cordon- and area-based road pricing schemes using a trip-chain equilibrium model," Transportation Research Part A: Policy and Practice, Elsevier, vol. 41(7), pages 655-671, August.

    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:phsmap:v:387:y:2008:i:16:p:4327-4348. 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.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.