The Coordinate-Exchange Algorithm for Constructing Exact Optimal Experimental Designs

Advanced Experimental Design On “The Coordinate-Exchange Algorithm for Constructing Exact Optimal Experimental Designs”

A hybrid elitist pareto-based coordinate exchange algorithm for constructing multi-criteria optimal experimental designs

This paper presents a new Pareto-based coordinate exchange algorithm for populating or approximating the true Pareto front for multi-criteria optimal experimental design problems that arise naturally in a range of industrial applications. This heuristic combines an elitist-like operator inspired by evolutionary multi-objective optimization algorithms with a coordinate exchange operator that is ...

An Efficient Algorithm for Constructing Optimal Design of Computer Experiments

Metamodeling approach has been widely used due to the high computational cost of using high-fidelity simulations in engineering design. The accuracy of metamodels is directly related to the experimental designs used. Optimal experimental designs have been shown to have good “space filling” and projective properties. However, the high cost in constructing them limits their use. In this paper, a ...

Whole-Plot Exchange Algorithms for Constructing D-Optimal Multistratum Designs

Multistratum experiments contain several different sizes of experimental units. Examples include split-plot, strip-plot designs, and randomized block designs. We propose a strategy for constructing a D-optimal multistratum design by improving a randomly generated design through a sequence of whole-plot exchanges. This approach preserves the design structure and simplifies updates to the informa...

Using a Genetic Algorithm to Generate D-optimal Designs for Mixture Experiments

We propose and develop a genetic algorithm (GA) for generating D-optimal designs where the experimental region is an irregularly shaped polyhedral region. Our approach does not require selection of points from a user-defined candidate set of mixtures and allows movement through a continuous region that includes highly constrained mixture regions. This approach is useful in situations where extr...