Integer Optimization in Survey Statistics
The census conducted in Germany in 2011 was the major motivation to study stratified sampling problems. When a sample is drawn (for instance 10 percent of the population), it has to be distributed optimally among the population while respecting regional and structural constraints. Solving optimal allocation problems and their generalizations is important whenever a stratified sample is drawn. The map on the left illustrates an Italian business survey and is taken from a project with my colleagues Ralf Münnich and Martin Rupp.