Difference between revisions of "MIPDECO"
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=== Laplace Source Inversion === | === Laplace Source Inversion === | ||
| + | Problem is to identify source to match an observed state, <math> \bar u </math>, governed by Laplace equation with Dirichtlet boundary conditions: | ||
| + | {| align="center" | ||
| + | | minimize || <math> \int_{\Omega} u - \bar u d\Omega</math> || | ||
| + | |- | ||
| + | | subject to || <math>g_i(x,y) \leq 0 \,</math> || for <math>i = 1, ..., m \,</math> | ||
| + | |- | ||
| + | | || <math> x \in X \; y \in Y</math> integer, || | ||
| + | |} | ||
=== Distributed Control with Neumann Boundary Conditions === | === Distributed Control with Neumann Boundary Conditions === | ||
Revision as of 16:07, 2 August 2016
Mixed-Integer PDE Constrained Optimization (MIPDECO) Test Problems
This page links to sets of MIPDECO test problems written in AMPL and described in a companion report.
Each problem includes a characterization in terms of type of PDE, class of integers, type of objective, type of constraints, and discretization scheme.
A tar-ball with all ampl models, data, and command files is available here. A tar-ball with the corresponding stub.nl files is available here.
Laplace Source Inversion
Problem is to identify source to match an observed state, <math> \bar u </math>, governed by Laplace equation with Dirichtlet boundary conditions:
| minimize | <math> \int_{\Omega} u - \bar u d\Omega</math> | |
| subject to | <math>g_i(x,y) \leq 0 \,</math> | for <math>i = 1, ..., m \,</math> |
| <math> x \in X \; y \in Y</math> integer, |