MIPDECO

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,