Optimization of Multiple Response Variables Using the Desirability Function and a Bayesian Predictive Distribution

This paper proposes the modification of a technique of simultaneous optimization of multiple response variables that works using a Bayesian predictive distribution, to incorporate different weights to the response variables according to their importance in the products. To achieve this, the desirability function has been incorporated to the original proposal. This research shows by representing different scenarios in one case study taken from literature, that the highest desirabilities and in turn the proposed optimum values in the process operating conditions always moved toward regions where the response variables with the highest weights had the best results, at the expense of performance in variables with the lowest weights.

[1]  Robert D. Plante,et al.  Process capability: a criterion for optimizing multiple response product and process design , 2001 .

[2]  Kwang-Jae Kim,et al.  Expected Desirability Function: Consideration of Both Location and Dispersion Effects in Desirability Function Approach , 2007 .

[3]  John J. Peterson A Posterior Predictive Approach to Multiple Response Surface Optimization , 2004 .

[4]  H. Goicoechea,et al.  Experimental design and multiple response optimization. Using the desirability function in analytical methods development. , 2014, Talanta.

[5]  M. A. Lassoued,et al.  A novel approach for the development and optimization of self emulsifying drug delivery system using HLB and response surface methodology: application to fenofibrate encapsulation. , 2014, International journal of pharmaceutics.

[6]  Marwa S. Elazazy,et al.  Interaction of p-synephrine with p-chloranil: experimental design and multiple response optimization , 2016 .

[7]  Susana M. Nolasco,et al.  Analysis of the Performance of a Dehulling System for Confectionary Sunflower Seeds , 2014 .

[8]  H. Low,et al.  Index C*pm in Multiple Response Optimization , 2004 .

[9]  Young-Hyun Ko,et al.  A New Loss Function-Based Method for Multiresponse Optimization , 2005 .

[10]  Alejandro Heredia-Langner,et al.  A Genetic Algorithm Approach to Multiple-Response Optimization , 2004 .

[11]  G. Derringer,et al.  Simultaneous Optimization of Several Response Variables , 1980 .

[12]  Barış Şimşek,et al.  A Full Factorial Design Based Desirability Function Approach for Optimization of Properties of C 40/50 Concrete Class , 2013 .

[13]  John J. Peterson,et al.  A Bayesian Approach for Multiple Response Surface Optimization in the Presence of Noise Variables , 2004 .

[14]  M. Hamada,et al.  Analyzing Experiments with Correlated Multiple Responses , 2001 .

[15]  Sheng Li,et al.  Investigation of 2,4-dichlorophenoxyacetic acid adsorption onto MIEX resin: Optimization using response surface methodology , 2014 .

[16]  Douglas M. Hawkins,et al.  Quality Loss Functions for Optimization across Multiple Response Surfaces , 1997 .

[17]  Douglas C. Montgomery,et al.  Response Surface Methodology: Process and Product Optimization Using Designed Experiments , 1995 .