A solution framework for linear PDE-constrained mixed-integer problems

We present a general numerical solution method for control problems with state variables defined by a linear PDE over a finite set of binary or continuous control variables. We show empirically that a naive approach that applies a numerical discretization scheme to the PDEs to derive constraints for...

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Vydané v:	Mathematical programming Ročník 188; číslo 2; s. 695 - 728
Hlavní autori:	Gnegel, Fabian, Fügenschuh, Armin, Hagel, Michael, Leyffer, Sven, Stiemer, Marcus
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2021 Springer Nature B.V Springer Science + Business Media
Predmet:	Calculus of Variations and Optimal Control; Optimization Combinatorics Computation Constraints Continuity (mathematics) Discretization Full Length Paper Linear programming Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Mathematics of Computing Mixed integer Numerical Analysis State variable Theoretical Wildfires 65N30 Mixed integer programming Partial differential equations Global optimal control 90C11 Finite element 90-10 Mathematical modeling or simulation for problems pertaining to operations research and mathematical programming Finite-element methods Finite-difference methods Mixed-integer linear programming Convection-diffusion equation
ISSN:	0025-5610, 1436-4646
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