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Mixed Platoon Flow Dispersion Model Based on Speed‐Truncated Gaussian Mixture Distribution

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  • Weitiao Wu
  • Wenzhou Jin
  • Luou Shen

Abstract

A mixed traffic flow feature is presented on urban arterials in China due to a large amount of buses. Based on field data, a macroscopic mixed platoon flow dispersion model (MPFDM) was proposed to simulate the platoon dispersion process along the road section between two adjacent intersections from the flow view. More close to field observation, truncated Gaussian mixture distribution was adopted as the speed density distribution for mixed platoon. Expectation maximum (EM) algorithm was used for parameters estimation. The relationship between the arriving flow distribution at downstream intersection and the departing flow distribution at upstream intersection was investigated using the proposed model. Comparison analysis using virtual flow data was performed between the Robertson model and the MPFDM. The results confirmed the validity of the proposed model.

Suggested Citation

  • Weitiao Wu & Wenzhou Jin & Luou Shen, 2013. "Mixed Platoon Flow Dispersion Model Based on Speed‐Truncated Gaussian Mixture Distribution," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:480965
    DOI: 10.1155/2013/480965
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    References listed on IDEAS

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    1. Muriel J. Grace & Renfrey B. Potts, 1964. "A Theory of the Diffusion of Traffic Platoons," Operations Research, INFORMS, vol. 12(2), pages 255-275, April.
    2. Ming Wei & Wenzhou Jin & Lvou Shen, 2012. "A Platoon Dispersion Model Based on a Truncated Normal Distribution of Speed," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-13, March.
    3. John A. Hillier & Richard Rothery, 1967. "The Synchronization of Traffic Signals for Minimum Delay," Transportation Science, INFORMS, vol. 1(2), pages 81-94, May.
    4. Ming Wei & Wenzhou Jin & Lvou Shen, 2012. "A Platoon Dispersion Model Based on a Truncated Normal Distribution of Speed," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
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