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A formulation of unifiable multi-commodity kinematic wave model with relative speed ratios

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  • Jin, Wen-Long
  • Yan, Qinglong

Abstract

Observations suggest that the First-In-First-Out (FIFO) principle is usually violated on multi-lane roads. Jin (2017) formulated and solved unifiable multi-commodity kinematic wave models, when different commodities have the same contributions to overall traffic congestion (unifiable) but may travel at different speeds (non-FIFO). However, the construction of unifiable multi-commodity fundamental diagrams and the assumption of concave or convex commodity flow proportion functions are purely mathematical and lack behavioral explanations. Thus the existing formulation is only of pure mathematical and theoretical interests and too complicated for real-world calibration, validation, or applications.

Suggested Citation

  • Jin, Wen-Long & Yan, Qinglong, 2019. "A formulation of unifiable multi-commodity kinematic wave model with relative speed ratios," Transportation Research Part B: Methodological, Elsevier, vol. 128(C), pages 236-253.
    • Handle: RePEc:eee:transb:v:128:y:2019:i:c:p:236-253
    DOI: 10.1016/j.trb.2019.08.007
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    References listed on IDEAS

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    1. Jin, Wen-Long, 2013. "A multi-commodity Lighthill–Whitham–Richards model of lane-changing traffic flow," Transportation Research Part B: Methodological, Elsevier, vol. 57(C), pages 361-377.
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