IDEAS home Printed from https://ideas.repec.org/a/eee/transa/v29y1995i3p229-244.html
   My bibliography  Save this article

Sampling strategies for two-fluid model parameter estimation in urban networks

Author

Listed:
  • Williams, James C.
  • Mahmassani, Hani S.
  • Herman, Robert

Abstract

The basic postulate of the two-fluid theory of town traffic relates the average speed of moving vehicles to the fraction of moving vehicles in a street network; both representing averages over all vehicles in the network. Data collection to provide estimates of the model parameters to-date has consisted of sampling the network with a test car, replicating (as closely as possible) the trip histories of randomly selected vehicles in the network. Because the two-fluid model is nonlinear, it cannot be simultaneously applied at the individual vehicle level and the network level, as is shown in this article. However, due to the practical difficulties in collecting data for all the vehicles in the network, several potential sampling strategies are identified and are evaluated with computer simulation. The simulation experiments suggest that aggregating the trip histories of 10 to 20 test vehicles over 10 to 15 minutes yields parameter estimates very close to the true value.

Suggested Citation

  • Williams, James C. & Mahmassani, Hani S. & Herman, Robert, 1995. "Sampling strategies for two-fluid model parameter estimation in urban networks," Transportation Research Part A: Policy and Practice, Elsevier, vol. 29(3), pages 229-244, May.
  • Handle: RePEc:eee:transa:v:29:y:1995:i:3:p:229-244
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0965-8564(94)00031-5
    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. Siamak Ardekani & Robert Herman, 1987. "Urban Network-Wide Traffic Variables and Their Relations," Transportation Science, INFORMS, vol. 21(1), pages 1-16, February.
    2. Robert Herman & Siamak Ardekani, 1984. "Characterizing Traffic Conditions in Urban Areas," Transportation Science, INFORMS, vol. 18(2), pages 101-140, May.
    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. Sun, Bin & Zhang, Qijun & Hu, Le & Zou, Chao & Wei, Ning & Jia, Zhenyu & Zhao, Xiaoyang & Peng, Jianfei & Mao, Hongjun & Wu, Zhong, 2023. "A prediction-evaluation method for road network energy consumption: Fusion of vehicle energy flow principle and Two-Fluid theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).

    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. Daganzo, Carlos F., 2010. "On the Stability of Freeway Traffic," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt4vf597r5, Institute of Transportation Studies, UC Berkeley.
    2. Gayah, Vikash V. & Daganzo, Carlos F., 2011. "Clockwise hysteresis loops in the Macroscopic Fundamental Diagram: An effect of network instability," Transportation Research Part B: Methodological, Elsevier, vol. 45(4), pages 643-655, May.
    3. Daganzo, Carlos F., 2011. "On the macroscopic stability of freeway traffic," Transportation Research Part B: Methodological, Elsevier, vol. 45(5), pages 782-788, June.
    4. Richard Connors & David Watling, 2015. "Assessing the Demand Vulnerability of Equilibrium Traffic Networks via Network Aggregation," Networks and Spatial Economics, Springer, vol. 15(2), pages 367-395, June.
    5. Jiayu Ding & Yuewei Wang & Chaoyue Li, 2024. "A Dual-Layer Complex Network-Based Quantitative Flood Vulnerability Assessment Method of Transportation Systems," Land, MDPI, vol. 13(6), pages 1-27, May.
    6. Kenneth Small, 2015. "The Bottleneck Model: An Assessment and Interpretation," Working Papers 141506, University of California-Irvine, Department of Economics.
    7. Arnott, Richard, 2013. "A bathtub model of downtown traffic congestion," Journal of Urban Economics, Elsevier, vol. 76(C), pages 110-121.
    8. Cheng, Qixiu & Lin, Yuqian & Zhou, Xuesong (Simon) & Liu, Zhiyuan, 2024. "Analytical formulation for explaining the variations in traffic states: A fundamental diagram modeling perspective with stochastic parameters," European Journal of Operational Research, Elsevier, vol. 312(1), pages 182-197.
    9. Moore, James E. II & Jayakrishnan, R. & McNally, M. G. & MacCarley, C. Arthur, 1999. "Evaluation of the Anaheim Advanced Traffic Control System Field Operational Test: Introduction and Task A: Evaluation of SCOOT Performance," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt7p3386qz, Institute of Transportation Studies, UC Berkeley.
    10. Sun, Bin & Zhang, Qijun & Hu, Le & Zou, Chao & Wei, Ning & Jia, Zhenyu & Zhao, Xiaoyang & Peng, Jianfei & Mao, Hongjun & Wu, Zhong, 2023. "A prediction-evaluation method for road network energy consumption: Fusion of vehicle energy flow principle and Two-Fluid theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).
    11. Kenneth A. Small & Xuehao Chu, 2003. "Hypercongestion," Journal of Transport Economics and Policy, University of Bath, vol. 37(3), pages 319-352, September.
    12. Geroliminis, Nikolas & Sun, Jie, 2011. "Properties of a well-defined macroscopic fundamental diagram for urban traffic," Transportation Research Part B: Methodological, Elsevier, vol. 45(3), pages 605-617, March.
    13. Wada, Kentaro & Satsukawa, Koki & Smith, Mike & Akamatsu, Takashi, 2019. "Network throughput under dynamic user equilibrium: Queue spillback, paradox and traffic control," Transportation Research Part B: Methodological, Elsevier, vol. 126(C), pages 391-413.
    14. Ranjan, Abhishek & Fosgerau, Mogens & Jenelius, Erik, 2016. "Emergence of a urban traffic macroscopic fundamental diagram," MPRA Paper 74350, University Library of Munich, Germany, revised 07 Oct 2016.
    15. Jin, Wen-Long & Gan, Qi-Jian & Gayah, Vikash V., 2013. "A kinematic wave approach to traffic statics and dynamics in a double-ring network," Transportation Research Part B: Methodological, Elsevier, vol. 57(C), pages 114-131.
    16. Geroliminis, Nikolas & Sun, Jie, 2011. "Hysteresis phenomena of a Macroscopic Fundamental Diagram in freeway networks," Transportation Research Part A: Policy and Practice, Elsevier, vol. 45(9), pages 966-979, November.
    17. Bou Sleiman, Lea, 2023. "Displacing Congestion: Evidence from Paris," CEPREMAP Working Papers (Docweb) 2302, CEPREMAP.
    18. Geroliminis, Nikolas & Daganzo, Carlos F., 2008. "Existence of urban-scale macroscopic fundamental diagrams: Some experimental findings," Transportation Research Part B: Methodological, Elsevier, vol. 42(9), pages 759-770, November.
    19. Laval, Jorge A. & Aghamohammadi, Rafegh, 2022. "Network-wide Emissions Estimation Using the Macroscopic Fundamental Diagram," Institute of Transportation Studies, Working Paper Series qt8670m9jh, Institute of Transportation Studies, UC Davis.
    20. Geroliminis, Nikolaos, 2007. "Increasing mobility in cities by controlling overcrowding," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt5wg9j6z7, Institute of Transportation Studies, UC Berkeley.

    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:transa:v:29:y:1995:i:3:p:229-244. 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/547/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.