Traffic reconstruction using autonomous vehicles

Maria Laura Delle Monache, Thibault Liard, Benedetto Piccoli, Raphael Stern, Dan Work

Research output: Contribution to journalArticle


We consider a partial differential equation - ordinary differential equation system to describe the dynamics of traffic flow with autonomous vehicles. In the model the bulk flow is represented by a scalar conservation law, while each autonomous vehicle is described by a car following model. The autonomous vehicles act as tracer vehicles in the flow and collect measurements along their trajectories to estimate the bulk flow. The main result is to both prove theoretically and show numerically how to reconstruct the correct traffic density using only the measurements from the autonomous vehicles.

Original languageEnglish (US)
Pages (from-to)1748-1767
Number of pages20
JournalSIAM Journal on Applied Mathematics
Issue number5
StatePublished - 2019


  • Density reconstruction
  • PDE-ODE systems
  • Scalar conservation laws
  • Traffic flow models

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