Finite Differences-Runge Kutta Schemes for Vehicle Occupancy-Aggregate Emission Rate Relationship

  • Sofiya CherguiEmail author
  • Said Agoujil
Conference paper
Part of the Lecture Notes in Intelligent Transportation and Infrastructure book series (LNITI)


Although transportation offers many benefits for humanity by facilitating life, it has negative effects especially the environmental ones, due to vehicular emissions which are related to highest congestions. Our paper studies the relationship between the vehicle occupancy and the aggregate emission rate. Such relation can be exploited as objective functions and/or constraints of optimization problems. The methodology used in this paper consists on considering a homogeneous dynamic road where the traffic is described by the Lighthill Whitham-Richard (LWR) model resolved using a finite differences scheme in space and a Runge Kutta scheme in time, while emissions are calculated using a modal model.


LWR Traffic congestion Traffic pollution Traffic vehicle emission Finite differences Runge Kutta 


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of Computer Sciences, E3MI Team, Faculty of Sciences and TechniquesUniversity Moulay IsmailMeknesMorocco

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