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A porous flow approach to modeling heterogeneous traffic in disordered systems

Author

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  • Nair, Rahul
  • Mahmassani, Hani S.
  • Miller-Hooks, Elise

Abstract

A continuum model that describes a disordered, heterogeneous traffic stream is presented. Such systems are widely prevalent in developing countries where classical traffic models cannot be readily applied. The characteristics of such systems are unique since drivers of smaller vehicles exploit their maneuverability to move ahead through lateral gaps at lower speeds. At higher speeds, larger vehicles press their advantage of greater motive power. The traffic stream at the microscopic level is disordered and defines a porous medium. Each vehicle is considered to move through a series of pores defined by other vehicles. A speed-density relationship that explicitly considers the pore space distribution is presented. This captures the considerable dynamics between vehicle classes that are overlooked when all classes are converted to a reference class (usually Passenger Car Equivalents) as is traditionally done. Using a finite difference approximation scheme, traffic evolution for a two-class traffic stream is shown.

Suggested Citation

  • Nair, Rahul & Mahmassani, Hani S. & Miller-Hooks, Elise, 2011. "A porous flow approach to modeling heterogeneous traffic in disordered systems," Transportation Research Part B: Methodological, Elsevier, vol. 45(9), pages 1331-1345.
  • Handle: RePEc:eee:transb:v:45:y:2011:i:9:p:1331-1345
    DOI: 10.1016/j.trb.2011.05.009
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    References listed on IDEAS

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    Cited by:

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    2. Maiti, Nandan & Laval, Jorge A. & Chilukuri, Bhargava Rama, 2024. "Universality of area occupancy-based fundamental diagrams in mixed traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 640(C).
    3. Lee, Tzu-Chang & Wong, K.I., 2016. "An agent-based model for queue formation of powered two-wheelers in heterogeneous traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 199-216.
    4. Chapala, Sai Bharath Kumar & Nair, Preetha & Sreekumar, M. & Bhavathrathan, B.K., 2024. "A dynamic traffic assignment framework for policy analysis in cities with significant share of two-wheelers," Transport Policy, Elsevier, vol. 147(C), pages 125-139.
    5. Nanyondo, Josephine & Kasumba, Henry, 2024. "Analysis of heterogeneous vehicular traffic: Using proportional densities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 633(C).
    6. Mohan, Ranju & Ramadurai, Gitakrishnan, 2021. "Multi-class traffic flow model based on three dimensional flow–concentration surface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 577(C).

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