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

Abstract : This paper revisits the variational theory of traffic flow, now under the presence of continuum lateral inflows and outflows to the freeway say Eulerian source terms. It is found that a VT solution can be easily exhibited only in Eulerian coordinates when source terms are exogenous meaning that they only depend on time and space, but not when they are a function of traffic conditions, as per a merge model. In discrete time, however, these dependencies become exogenous, which allowed us to propose improved numerical solution methods. In Lagrangian and vehicle number-space coordinates, VT solutions may not exist even if source terms are exogenous.
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https://hal.inria.fr/hal-01281117
Contributor : Guillaume Costeseque <>
Submitted on : Tuesday, June 21, 2016 - 11:29:32 AM
Last modification on : Thursday, May 20, 2021 - 9:12:01 AM
Long-term archiving on: : Thursday, September 22, 2016 - 10:49:29 AM

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Jorge A Laval, Guillaume Costeseque, Bargavarama Chilukuri. The impact of source terms in the variational representation of traffic flow. Transportation Research Part B: Methodological, Elsevier, 2016, ⟨10.1016/j.trb.2016.09.011⟩. ⟨hal-01281117v2⟩

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