Optimal scenario for road evacuation in an urban environment
DOI10.1007/s00033-024-02278-9MaRDI QIDQ6597372
Mickael Bestard, Emmanuel Franck, Yannick Privat, Laurent Navoret
Publication date: 3 September 2024
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
optimal control problemnumerical simulationfluid modelhyperbolic PDEtraffic networkoptimization method
Numerical mathematical programming methods (65K05) Linear programming (90C05) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Perturbations in context of PDEs (35B20) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Fixed-point iterations (47J26) PDE constrained optimization (numerical aspects) (49M41) Transport equations (35Q49) Traffic and pedestrian flow models (76A30)
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