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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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    1. Cassidy, Michael J., 1998. "Bivariate relations in nearly stationary highway traffic," Transportation Research Part B: Methodological, Elsevier, vol. 32(1), pages 49-59, January.
    2. Denos C. Gazis & Robert Herman & Richard W. Rothery, 1961. "Nonlinear Follow-the-Leader Models of Traffic Flow," Operations Research, INFORMS, vol. 9(4), pages 545-567, August.
    3. Paul I. Richards, 1956. "Shock Waves on the Highway," Operations Research, INFORMS, vol. 4(1), pages 42-51, February.
    4. Daganzo, Carlos F., 1997. "A continuum theory of traffic dynamics for freeways with special lanes," Transportation Research Part B: Methodological, Elsevier, vol. 31(2), pages 83-102, April.
    5. Daganzo, Carlos F., 2002. "A behavioral theory of multi-lane traffic flow. Part II: Merges and the onset of congestion," Transportation Research Part B: Methodological, Elsevier, vol. 36(2), pages 159-169, February.
    6. 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.
    7. Wong, G. C. K. & Wong, S. C., 2002. "A multi-class traffic flow model - an extension of LWR model with heterogeneous drivers," Transportation Research Part A: Policy and Practice, Elsevier, vol. 36(9), pages 827-841, November.
    8. Daganzo, Carlos F., 2002. "A behavioral theory of multi-lane traffic flow. Part I: Long homogeneous freeway sections," Transportation Research Part B: Methodological, Elsevier, vol. 36(2), pages 131-158, February.
    9. Yan, Qinglong & Sun, Zhe & Gan, Qijian & Jin, Wen-Long, 2018. "Automatic identification of near-stationary traffic states based on the PELT changepoint detection," Transportation Research Part B: Methodological, Elsevier, vol. 108(C), pages 39-54.
    10. Lloret-Batlle, Roger & Jayakrishnan, R., 2016. "Envy-minimizing pareto efficient intersection control with brokered utility exchanges under user heterogeneity," Transportation Research Part B: Methodological, Elsevier, vol. 94(C), pages 22-42.
    11. Ansorge, Rainer, 1990. "What does the entropy condition mean in traffic flow theory?," Transportation Research Part B: Methodological, Elsevier, vol. 24(2), pages 133-143, April.
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