Proceedings of the 2018 3rd International Conference on Modelling, Simulation and Applied Mathematics (MSAM 2018)

A Simplified Model of Quadratic Polynomials RSM And Its Design of Experiment

Authors
Jinwen Wei
Corresponding Author
Jinwen Wei
Available Online July 2018.
DOI
10.2991/msam-18.2018.3How to use a DOI?
Keywords
quadratic polynomials; Response Surface Method (RSM); Design Of Experiment (DOE); simplified model
Abstract

Considering the inefficiency of classical DOE (Design Of Experiment) based polynomials RSM (Response Surface Method), this paper proposes a simplified experimental modeling method to approximate a quadratic polynomials RSM model (called Archetype in this paper). This simplified model contains the same number of coefficients as that of modeling variables, and uses orthogonal vectors of modeling variables as DOE. Such related problems as basis function, DOE, etc. are analyzed theoretically and demonstrated with examples. When applied to approximate an Archetype of positive define, central distribution eigenvalue and high dimension modeling variables, experiment times can be greatly decreased while enough precision is obtained in this simplified RSM model.

Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2018 3rd International Conference on Modelling, Simulation and Applied Mathematics (MSAM 2018)
Series
Advances in Intelligent Systems Research
Publication Date
July 2018
ISBN
10.2991/msam-18.2018.3
ISSN
1951-6851
DOI
10.2991/msam-18.2018.3How to use a DOI?
Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Jinwen Wei
PY  - 2018/07
DA  - 2018/07
TI  - A Simplified Model of Quadratic Polynomials RSM And Its Design of Experiment
BT  - Proceedings of the 2018 3rd International Conference on Modelling, Simulation and Applied Mathematics (MSAM 2018)
PB  - Atlantis Press
SP  - 11
EP  - 15
SN  - 1951-6851
UR  - https://doi.org/10.2991/msam-18.2018.3
DO  - 10.2991/msam-18.2018.3
ID  - Wei2018/07
ER  -