Formulation of the Audze-Eglais uniform Latin hypercube design of experiments for constrained design spaces

Authors:
Fabian Fuerle;Johann Sienz
Affiliations:
C2EC, School of Engineering, Swansea University, Swansea, UK;C2EC, School of Engineering, Swansea University, Swansea, UK
Venue:
Advances in Engineering Software
Year:
2011

Citing 2
Cited 1

Formulation of the Audze--Eglais uniform Latin hypercube design of experiments

Advances in Engineering Software
Practical Genetic Algorithms with CD-ROM

Practical Genetic Algorithms with CD-ROM

Decomposed surrogate based optimization of carbon-fiber bicycle frames using Optimum Latin Hypercubes for constrained design spaces

Computers and Structures

Quantified Score

Hi-index	0.00

Visualization

Abstract

Optimal Latin Hypercubes (OLH) created in a constrained design space might produce Design of Experiments (DoE) containing infeasible points if the underlying formulation disregards the constraints. Simply omitting these infeasible points leads to a DoE with fewer experiments than desired and to a set of points that is not optimally distributed. By using the same number of points a better mapping of the feasible space can be achieved. This paper describes the development of a procedure that creates OLHs for constrained design spaces. An existing formulation is extended to meet this requirement. Here, the OLH is found by minimizing the Audze-Eglais potential energy of the points using a permutation genetic algorithm. Examples validate the procedure and demonstrate its capabilities in finding space-filling Latin Hypercubes in arbitrarily shaped design spaces.