Programs for Generating Extreme Vertices and Centroids of Linearly Constrained Experimental Regions

Two FORTRAN programs are presented that generate the extreme vertices and the various dimensional centroids (approximate) of an experimental region described by constraints of the general form where x 1 , x 2 , ..., x q are the experimental variables. Regions defined by such constraints are usually...

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Bibliographic Details
Published in:Journal of quality technology Vol. 20; no. 2; pp. 125 - 139
Main Author: Piepel, Gregory F.
Format: Journal Article
Language:English
Published: United States Taylor & Francis 01.04.1988
Subjects:
990200 - Mathematics & Computers
ALGORITHMS
C CODES
COMPUTER CODES
COMPUTER PROGRAM DOCUMENTATION
COMPUTER-AIDED DESIGN
Computer-aided Experimental Design
DESIGN
Design of Experiments
FORTRAN
GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
MATHEMATICAL LOGIC
Mixture Experiments
PROGRAMMING
PROGRAMMING LANGUAGES
SHAPE
ISSN:0022-4065, 2575-6230
Online Access:Get full text
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Description
Summary:Two FORTRAN programs are presented that generate the extreme vertices and the various dimensional centroids (approximate) of an experimental region described by constraints of the general form where x 1 , x 2 , ..., x q are the experimental variables. Regions defined by such constraints are usually irregular in shape, rendering classical factorial and response surface designs inappropriate. The extreme vertices and centroids of an irregularly shaped region provide an even coverage of the boundary, and often are included in a list of candidate points for consideration by computer-aided experimental design techniques.
Bibliography:AC06-76RL01830
ISSN:0022-4065
2575-6230
DOI:10.1080/00224065.1988.11979093