Journal of Korean Institute of Industrial Engineers (대한산업공학회지)

Korean Institute of Industrial Engineers (대한산업공학회)
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Development of a Multiple Response Surface Method Considering Bias and Variance of Desirability Functions

만족도 함수의 편향과 산포를 고려한 다중반응표면최적화 기법 개발

  • Jung, Ki-Hyo (School of Industrial Engineering, University of Ulsan) ;
  • Lee, Sang-Ki (Communication Division, Samsung Electronics)
  • 정기효 (울산대학교 산업경영공학부) ;
  • 이상기 (삼성전자 무선사업부)
  • Received : 2011.10.10
  • Accepted : 2011.11.14
  • Published : 2012.03.01
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Abstract

Desirability approaches have been proposed to find an optimum of multiple response problem. The existing desirability approaches use either of mean or min of individual desirability in aggregation of multiple responses. However, in order to find an optimum having high mean and low dispersion among individual desirability, the dispersion needs to be simultaneously considered with its mean. This study proposes bias and variance (BV) method which aggregates bias (ideal target-mean) and variance of individual desirability in multiple response optimization. The proposed BV method was applied to an example to evaluate its usefulness by comparing with existing methods. Evaluation results showed that the solution of BV method was a fairly good compared with DS (Derringer and Suich, 1980) and KL (Kim and Lin, 2000) methods. The BV method can be utilized to multiple response surface problems when decision makers want to find an optimum having high mean and low variance among responses.

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References

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