UPM Institutional Repository

Augmented approach to desirability function based on MM estimator


Midi, Habshah and Mustafa, Mohd Shafie and Fitrianto, Anwar (2012) Augmented approach to desirability function based on MM estimator. In: 20th National Symposium on Mathematical Sciences (SKSM20), 18-20 Dec. 2012, Palm Garden Hotel, Putrajaya, Malaysia. (pp. 1240-1247).


The desirability function approach is commonly used in industry to tackle multiple response optimization problems. The shortcoming of this approach is that the variability in each predicted response is ignored. It is now evident that the actual response may fall outside the acceptable region even though the predicted response at the optimal solution has a high overall desirability score. An augmented approach to the desirability function (AADF) is put forward to rectify this problem. Nevertheless the AADF is easily affected by outliers since the AADF is constructed based on the Ordinary Least Squares (OLS) estimate which is not resistant to outliers. As an alternative, we propose a robust MM-estimator to estimate the parameters of the Response Surface Model (RSM) and incorporated the estimated parameters in the augmented approach framework. A numerical example is presented to assess the performance of the AADF-MM based method. The numerical results signify that the AADF-MM based is more efficient than the AADF-OLS based method.

Download File

PDF (Abstract)
Augmented approach to desirability function based on MM estimator.pdf

Download (35kB) | Preview

Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1063/1.4801272
Publisher: AIP Publishing LLC
Keywords: Desirability function; OLS-estimator; Optimization; Response surface model; Robust MM-estimator
Depositing User: Nabilah Mustapa
Date Deposited: 27 Sep 2017 10:46
Last Modified: 27 Sep 2017 10:46
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4801272
URI: http://psasir.upm.edu.my/id/eprint/57452
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item