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

Wen-Long Jin and Qinglong Yan

Transportation Research Part B: Methodological, 2019, vol. 128, issue C, 236-253

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.

Keywords: Multi-commodity kinematic wave model; Unifiable fundamental diagram; Relative speed ratios; Riemann problem; Non-strictly hyperbolic conservation laws (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1016/j.trb.2019.08.007

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