Desirability Function Approach on the Optimization of Multiple Bernoulli-distributed Response

Frederick Kin Hing Phoa, Hsiu-Wen Chen

2013

Abstract

The multiple response optimization (MRO) problem is commonly found in industry and many other scientific areas. During the optimization stage, the desirability function method, first proposed by Harrington (1965), has been widely used for optimizing multiple responses simultaneously. However, the formulation of traditional desirability functions breaks down when the responses are Bernoulli-distributed. This paper proposes a simple solution to avoid this breakdown. Instead of the original binary responses, their probabilities of defined outcomes are considered in the logistic regression models and they are transformed into the desirability functions. An example is used for demonstration.

Paper Citation

in Harvard Style

Kin Hing Phoa F. and Chen H. (2013). Desirability Function Approach on the Optimization of Multiple Bernoulli-distributed Response . In Proceedings of the 2nd International Conference on Pattern Recognition Applications and Methods - Volume 1: ICPRAM, ISBN 978-989-8565-41-9, pages 127-131. DOI: 10.5220/0004216701270131

in Bibtex Style

@conference{icpram13,
author={Frederick Kin Hing Phoa and Hsiu-Wen Chen},
title={Desirability Function Approach on the Optimization of Multiple Bernoulli-distributed Response},
booktitle={Proceedings of the 2nd International Conference on Pattern Recognition Applications and Methods - Volume 1: ICPRAM,},
year={2013},
pages={127-131},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004216701270131},
isbn={978-989-8565-41-9},
}

in EndNote Style

TY - CONF
JO - Proceedings of the 2nd International Conference on Pattern Recognition Applications and Methods - Volume 1: ICPRAM,
TI - Desirability Function Approach on the Optimization of Multiple Bernoulli-distributed Response
SN - 978-989-8565-41-9
AU - Kin Hing Phoa F.
AU - Chen H.
PY - 2013
SP - 127
EP - 131
DO - 10.5220/0004216701270131