Universität zu Köln

Rhein, Beate, Clees, Tanja and Ruschitzka, Margot (2014). Robustness Measures and Numerical Approximation of the Cumulative Density Function of Response Surfaces. Commun. Stat.-Simul. Comput., 43 (1). S. 1 - 18. PHILADELPHIA: TAYLOR & FRANCIS INC. ISSN 0361-0918

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Abstract

Robust design optimization is used to examine the effect of variations in the design variables, for example production tolerances, on the response variables. This article presents a new approach for uncertainty propagation, supplemented by a comparativestudy of various methods. These are design of experiments in combination with quantile and kernel density estimation to approximate the cumulative density function of the response. The accuracy and efficiency of the novel methods in comparison to the standard method of determining, which is the empirical distribution function is investigated by means of mathematical analyses and a numerical study proving the suitability of the proposed proceeding. The article also discusses different robustness measures and their suitability in engineering. A new one based on quantiles is introduced.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Rhein, Beate UNSPECIFIED UNSPECIFIED UNSPECIFIED Clees, Tanja UNSPECIFIED UNSPECIFIED UNSPECIFIED Ruschitzka, Margot UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-452849
DOI:	10.1080/03610918.2012.690637
Journal or Publication Title:	Commun. Stat.-Simul. Comput.
Volume:	43
Number:	1
Page Range:	S. 1 - 18
Date:	2014
Publisher:	TAYLOR & FRANCIS INC
Place of Publication:	PHILADELPHIA
ISSN:	0361-0918
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language QUANTILE ESTIMATORS; OPTIMIZATION; UNCERTAINTY; PERFORMANCE; DESIGN Multiple languages Statistics & Probability Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/45284