6533b82bfe1ef96bd128ceee
RESEARCH PRODUCT
Representation of capacity drop at a road merge via point constraints in a first order traffic model
Sabrina Francesca PellegrinoCarlotta DonadelloEdda Dal SantoMassimiliano D. Rosinisubject
Mathematical optimizationTraffic model010103 numerical & computational mathematics01 natural sciencesScalar conservation law; LWR model; traffic flow on networks; point constraint on the flux; finite volumes schemesNOfinite volumes schemes[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]point constraint on the flux0101 mathematics[MATH]Mathematics [math]Scalar conservation lawMathematicsLWR modelNumerical AnalysisApplied MathematicsFirst order010101 applied mathematicsFinite volumes schemes; LWR model; Point constraint on the flux; Scalar conservation law; Traffic flow on networksComputational MathematicsModeling and Simulationtraffic flow on networksOutflowfinite volumes schemeMerge (version control)Analysisdescription
We reproduce the capacity drop phenomenon at a road merge by implementing a non-local point constraint at the junction in a first order traffic model. We call capacity drop the situation in which the outflow through the junction is lower than the receiving capacity of the outgoing road, as too many vehicles trying to access the junction from the incoming roads hinder each other. In this paper, we first construct an enhanced version of the locally constrained model introduced by Haut et al. (Proceedings 16th IFAC World Congress. Prague, Czech Republic 229 (2005) TuM01TP/3), then we propose its counterpart featuring a non-local constraint and finally we compare numerically the two models by constructing an adapted finite volumes scheme.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-03-30 |