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

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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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  -