Symmetries in the kinematic wave model and a parameter-free representation of traffic flow

Jorge A. Laval and Bhargava R. Chilukuri

Transportation Research Part B: Methodological, 2016, vol. 89, issue C, 168-177

Abstract: This paper identifies a family of linear transformations where conservation laws are invariant. In the case of a triangular fundamental diagram, it is shown that for a subset of these transformations, flow, total distance traveled and total delay are invariant. This means that for capacity or delay computations one may choose the transformation—i.e., the shape of the triangular diagram—that simplifies the problem the most, which does not require knowing the actual fundamental diagram. This is appealing also for delay-optimizing control problems since they may be solved using an isosceles fundamental diagram, which provides the most efficient numerical methods. Examples are given.

Keywords: Traffic flow; Kinematic wave model; Source term (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (6)

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DOI: 10.1016/j.trb.2016.02.009

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