Detail publikace

Modification of the Audze-Eglajs criterion to achieve a uniform distribution of sampling points

ELIÁŠ, J. VOŘECHOVSKÝ, M.

Originální název

Modification of the Audze-Eglajs criterion to achieve a uniform distribution of sampling points

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

The Audze–Eglājs (AE) criterion was developed to achieve a uniform distribution of experimental points in a hypercube. However, the paper shows that the AE criterion provides strongly nonuniform designs due to the effect of the boundaries of the hypercube. We propose a simple remedy that lies in the assumption of periodic boundary conditions. The biased behavior of the original AE criterion and excellent performance of the modified criterion are demonstrated using simple numerical examples focused on (i) the uniformity of sampling density over the design space and, (ii) statistical sampling efficiency measured through the ability to correctly estimate the statistical parameters of functions of random variables. An engineering example of reliability calculation is presented, too.

Klíčová slova

Design of experiments; Periodic boundary conditions; Latin Hypercube sampling; Uniform distribution; Combinatorial optimization; Audze–Eglājs criterion; Audze-Eglais criterion

Autoři

ELIÁŠ, J.; VOŘECHOVSKÝ, M.

Vydáno

13. 7. 2016

ISSN

0965-9978

Periodikum

ADVANCES IN ENGINEERING SOFTWARE

Ročník

2016

Číslo

100

Stát

Spojené království Velké Británie a Severního Irska

Strany od

82

Strany do

96

Strany počet

15

BibTex

@article{BUT133229,
  author="Jan {Eliáš} and Miroslav {Vořechovský}",
  title="Modification of the Audze-Eglajs criterion to achieve a uniform distribution of sampling points",
  journal="ADVANCES IN ENGINEERING SOFTWARE",
  year="2016",
  volume="2016",
  number="100",
  pages="82--96",
  doi="10.1016/j.advengsoft.2016.07.004",
  issn="0965-9978"
}