The impact of source terms in the variational representation of traffic flow

Jorge A. Laval, Guillaume Costeseque and Bargavarama Chilukuri

Transportation Research Part B: Methodological, 2016, vol. 94, issue C, 204-216

Abstract: This paper revisits the variational theory of traffic flow, now under the presence of continuum lateral inflows and outflows to the freeway. It is found that a VT solution apply only in Eulerian coordinates when source terms are exogenous, but not when they are a function of traffic conditions, e.g. as per a merge model. In discrete time, however, these dependencies become exogenous, which allowed us to propose improved numerical solution methods. In space-Lagrangian and time-Lagrangian coordinates, VT solutions may not apply even if source terms are exogenous.

Keywords: Traffic flow; Source terms; Kinematic wave model (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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DOI: 10.1016/j.trb.2016.09.011

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