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

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  • Laval, Jorge A.
  • Costeseque, Guillaume
  • Chilukuri, Bargavarama

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.

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  • Laval, Jorge A. & Costeseque, Guillaume & Chilukuri, Bargavarama, 2016. "The impact of source terms in the variational representation of traffic flow," Transportation Research Part B: Methodological, Elsevier, vol. 94(C), pages 204-216.
    • Handle: RePEc:eee:transb:v:94:y:2016:i:c:p:204-216
    DOI: 10.1016/j.trb.2016.09.011
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