optimization

Optimizing Two-Arm Clinical Trials for Personalized Medicine using Integer Programming and Heuristic Algorithms

Subjects with complex and serious diseases, such as malaria and leukemia, can have adverse reactions to the best-known treatments. The personalized medicine approach becomes beneficial because the subjects’ characteristics or covariates are …

An integer programming approach for constructing maximin distance designs from good lattice point sets

Computer experiments can build computationally cheap statistical models to study complex computer models. These experiments are commonly conducted using maximin distance Latin hypercube designs (LHDs), generated using heuristic algorithms or …

Constructing two-level $Q_B$-optimal screening designs using mixed-integer programming and heuristic algorithms

Two-level screening designs are widely applied in manufacturing industry to identify influential factors of a system. These designs have each factor at two levels and are traditionally constructed using standard algorithms, which rely on a …

A mixed integer optimization approach for model selection in screening experiments

After completing the experimental runs of a screening design, the responses under study are analyzed by statistical methods to detect the active effects. To increase the chances of correctly identifying these effects, a good analysis method should …