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A Semi-Poisson Model of Traffic Flow

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  • D. J. Buckley

    (School of Traffic Engineering, University of New South Wales, Australia)

Abstract

A generalized semi-Poisson model of traffic flow is postulated, its implication in terms of headway distributions outlined, and its properties discussed briefly in relation to other models of traffic flow. The new headway distribution and certain other theoretical headway distributions are compared with over 10,000 headways covering a wide range of traffic flows. It is concluded that the model or its particularizations predict headways fairly well and could yield some insights into the nature of road traffic.

Suggested Citation

  • D. J. Buckley, 1968. "A Semi-Poisson Model of Traffic Flow," Transportation Science, INFORMS, vol. 2(2), pages 107-133, May.
    • Handle: RePEc:inm:ortrsc:v:2:y:1968:i:2:p:107-133
    DOI: 10.1287/trsc.2.2.107
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    Cited by:

    1. Silvano, Ary P. & Koutsopoulos, Haris N. & Farah, Haneen, 2020. "Free flow speed estimation: A probabilistic, latent approach. Impact of speed limit changes and road characteristics," Transportation Research Part A: Policy and Practice, Elsevier, vol. 138(C), pages 283-298.
    2. Niek Baer & Richard J. Boucherie & Jan-Kees C. W. van Ommeren, 2019. "Threshold Queueing to Describe the Fundamental Diagram of Uninterrupted Traffic," Transportation Science, INFORMS, vol. 53(2), pages 585-596, March.
    3. Bari, Chintaman Santosh & Chandra, Satish & Dhamaniya, Ashish, 2022. "Service headway distribution analysis of FASTag lanes under mixed traffic conditions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 604(C).
    4. Sun, Lu & Jafaripournimchahi, Ammar & Kornhauser, Alain & Hu, Wushen, 2020. "A new higher-order viscous continuum traffic flow model considering driver memory in the era of autonomous and connected vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
    5. Raffaele Mauro & Federico Branco, 2013. "Update on the Statistical Analysis of Traffic Countings on Two-Lane Rural Highways," Modern Applied Science, Canadian Center of Science and Education, vol. 7(6), pages 1-67, June.
    6. Chiu, Yi-Chang & Zhou, Liang & Song, Houbing, 2010. "Development and calibration of the Anisotropic Mesoscopic Simulation model for uninterrupted flow facilities," Transportation Research Part B: Methodological, Elsevier, vol. 44(1), pages 152-174, January.
    7. Hoogendoorn, S.P., 2005. "Unified approach to estimating free speed distributions," Transportation Research Part B: Methodological, Elsevier, vol. 39(8), pages 709-727, September.
    8. Lu Sun, 2016. "Stochastic Projection-Factoring Method Based on Piecewise Stationary Renewal Processes for Mid- and Long-Term Traffic Flow Modeling and Forecasting," Transportation Science, INFORMS, vol. 50(3), pages 998-1015, August.
    9. Raffaele Mauro & Andrea Pompigna, 2022. "A Statistically Based Model for the Characterization of Vehicle Interactions and Vehicle Platoons Formation on Two-Lane Roads," Sustainability, MDPI, vol. 14(8), pages 1-22, April.
    10. Li, Baibing, 2017. "Stochastic modeling for vehicle platoons (II): Statistical characteristics," Transportation Research Part B: Methodological, Elsevier, vol. 95(C), pages 378-393.
    11. Guohui Zhang & Yinhai Wang, 2014. "A Gaussian Kernel-Based Approach for Modeling Vehicle Headway Distributions," Transportation Science, INFORMS, vol. 48(2), pages 206-216, May.
    12. Johansson , Fredrik, 2018. "Estimating interaction delay in bicycle traffic from point measurements," Working papers in Transport Economics 2018:18, CTS - Centre for Transport Studies Stockholm (KTH and VTI).
    13. Serge P. Hoogendoorn & W. Daamen, 2005. "Pedestrian Behavior at Bottlenecks," Transportation Science, INFORMS, vol. 39(2), pages 147-159, May.

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