Adjoint-based optimization on a network of discretized scalar conservation laws with applications to coordinated ramp metering

DOI10.1007/s10957-015-0749-1zbMath1337.35161OpenAlexW1632785960MaRDI QIDQ896198

Jack Reilly, Walid Krichene, Alexandre M. Bayen, Paola Goatin, Maria Laura Delle Monache, Samitha Samaranayake

Publication date: 14 December 2015

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-015-0749-1

zbMATH Keywords

transportation engineeringcontrol of discretized PDEsadjoint-based optimizationnetwork of hyperbolic conservation lawsramp metering

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Case-oriented studies in operations research (90B90) Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20) Computational methods for problems pertaining to operations research and mathematical programming (90-08) PDEs in connection with control and optimization (35Q93)

Related Items (12)

Network models for nonlocal traffic flow ⋮ Capacity drop and traffic control for a second order traffic model ⋮ A combined first and second order model for a junction with ramp buffer ⋮ Traffic Regulation via Controlled Speed Limit ⋮ Analysis of a system of nonlocal balance laws with weighted work in progress ⋮ Local Proportional-Integral Boundary Feedback Stabilization for Quasilinear Hyperbolic Systems of Balance Laws ⋮ A mathematical framework for delay analysis in single source networks ⋮ On the Optimization of Conservation Law Models at a Junction with Inflow and Flow Distribution Controls ⋮ Gradient-based optimization of a rotating algal biofilm process ⋮ Optimal packing of material flow on conveyor belts ⋮ Exact boundary controllability for free traffic flow with Lipschitz continuous state ⋮ Recovery of a Time-Dependent Bottom Topography Function from the Shallow Water Equations via an Adjoint Approach

Uses Software

• Ipopt
• TAF

Cites Work

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