@article{(Open Science Index):https://publications.waset.org/pdf/10001411, title = {Construction of Space-Filling Designs for Three Input Variables Computer Experiments}, author = {Kazeem A. Osuolale and Waheed B. Yahya and Babatunde L. Adeleke}, country = {}, institution = {}, abstract = {Latin hypercube designs (LHDs) have been applied in many computer experiments among the space-filling designs found in the literature. A LHD can be randomly generated but a randomly chosen LHD may have bad properties and thus act poorly in estimation and prediction. There is a connection between Latin squares and orthogonal arrays (OAs). A Latin square of order s involves an arrangement of s symbols in s rows and s columns, such that every symbol occurs once in each row and once in each column and this exists for every non-negative integer s. In this paper, a computer program was written to construct orthogonal array-based Latin hypercube designs (OA-LHDs). Orthogonal arrays (OAs) were constructed from Latin square of order s and the OAs constructed were afterward used to construct the desired Latin hypercube designs for three input variables for use in computer experiments. The LHDs constructed have better space-filling properties and they can be used in computer experiments that involve only three input factors. MATLAB 2012a computer package (www.mathworks.com/) was used for the development of the program that constructs the designs.}, journal = {International Journal of Computer and Information Engineering}, volume = {8}, number = {9}, year = {2014}, pages = {1740 - 1744}, ee = {https://publications.waset.org/pdf/10001411}, url = {https://publications.waset.org/vol/93}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 93, 2014}, }