Publication result detail

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

ELIÁŠ, J.; VOŘECHOVSKÝ, M.

Original Title

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

English Title

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

Type

WoS Article

Original Abstract

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.

English abstract

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.

Keywords

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

Key words in English

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

Authors

ELIÁŠ, J.; VOŘECHOVSKÝ, M.

RIV year

2017

Released

13.07.2016

ISBN

0965-9978

Periodical

ADVANCES IN ENGINEERING SOFTWARE

Volume

2016

Number

100

State

United Kingdom of Great Britain and Northern Ireland

Pages from

82

Pages to

96

Pages count

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"
}