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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 108
Edited by: J. Kruis, Y. Tsompanakis and B.H.V. Topping
Paper 282

Periodic Audze-Eglajs Criterion for Orthogonal and Regular Triangular Grids

M. Šmídová, V. Sadílek, J. Eliáš and M. Vorechovský

Institute of Structural Mechanics, Faculty of Civil Engineering, Brno University of Technology, Czech Republic

Full Bibliographic Reference for this paper
, "Periodic Audze-Eglajs Criterion for Orthogonal and Regular Triangular Grids", in J. Kruis, Y. Tsompanakis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 282, 2015. doi:10.4203/ccp.108.282
Keywords: optimization, design of experiments, periodic Audze-Eglais criterion, lower bound, uniform space-filling, orthogonal grid, full factorial design, Latin Hypercube sampling.

This paper studies a criterion that can be used for optimization of the designs of experiments (DoE) in cases when the uniform filling of the sampling space is demanded. The criterion studied in this paper is based on the Audze-Eglajs criterion and it has recently been modified in order to suppress its previously discovered defects. The principle remains but it is enriched by taking into account the periodicity of the final design, therefore it is called the periodic Audze-Eglajs (PAE) criterion.

To increase the efficiency of the optimization process of designs the knowledge of the minimum value of the optimization criterion is often required. Hence, two ideally space-filling deterministic designs are examined to find the lower bound on the PAE criterion. Numerical studies support the presumption that it is possible to interpolate the minimum value of PAE for sample sizes where the perfect deterministic designs with regular patterns cannot be achieved.

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