Publication result detail

Evaluation of Audze-Eglajs Criterion for Orthogonal and Regular Triangular Grids

ŠMÍDOVÁ, M.; SADÍLEK, V.; ELIÁŠ, J.; VOŘECHOVSKÝ, M.

Original Title

Evaluation of Audze-Eglajs Criterion for Orthogonal and Regular Triangular Grids

English Title

Evaluation of Audze-Eglajs Criterion for Orthogonal and Regular Triangular Grids

Type

Abstract

Original Abstract

This article describes two deterministic designs that optimally fill a unit hypercube. The motivation is to estimate the lower bound of the Audze-Eglaja (AE) criterion - a criterion for optimization of designs of experiments or for a sample for statistical analyses when uniform filling of sampling space is required. The construction of the two deterministic designs is described and the analysis of mutual distances of sample points in the designs (the distances are featured in the formula for the AE criterion) is performed. A closed forma for evaluation of the AE criterion on these deterministic designs is developed.

English abstract

This article describes two deterministic designs that optimally fill a unit hypercube. The motivation is to estimate the lower bound of the Audze-Eglaja (AE) criterion - a criterion for optimization of designs of experiments or for a sample for statistical analyses when uniform filling of sampling space is required. The construction of the two deterministic designs is described and the analysis of mutual distances of sample points in the designs (the distances are featured in the formula for the AE criterion) is performed. A closed forma for evaluation of the AE criterion on these deterministic designs is developed.

Keywords

Audze-Eglajs criterion, optimization, design of experiments, full factorial design (orthogonal grid), regular triangular design

Key words in English

Audze-Eglajs criterion, optimization, design of experiments, full factorial design (orthogonal grid), regular triangular design

Authors

ŠMÍDOVÁ, M.; SADÍLEK, V.; ELIÁŠ, J.; VOŘECHOVSKÝ, M.

RIV year

2016

Released

11.05.2015

Location

Svratka, Česká republika

ISBN

978-80-86246-42-0

Book

Engineering Mechanics 2015

Pages from

284

Pages to

285

Pages count

2

BibTex

@misc{BUT118249,
  author="Magdalena {Martinásková} and Václav {Sadílek} and Jan {Eliáš} and Miroslav {Vořechovský}",
  title="Evaluation of Audze-Eglajs Criterion for Orthogonal and Regular Triangular Grids",
  booktitle="Engineering Mechanics 2015",
  year="2015",
  pages="284--285",
  address="Svratka, Česká republika",
  isbn="978-80-86246-42-0",
  note="Abstract"
}