Global optimization problems in optimal design of experiments in regression models

In this paper we show that optimal design of experiments, a specific topic in statistics, constitutes a challenging application field for global optim ization. This paper shows how various structures in optimal design of exper iments problems determine the structure of corresponding challenging global optimization problems. Three different kinds of experimental designs are d iscussed: discrete designs, exact designs and replicationfree designs. Find ing optimal designs for these three concepts involves different optimizatio n problems.