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Advanced Tools of Quality Engineering. Optimization of Multiple Quality Characteristics Using Desirability Function. The desirability approach. The method finds operating conditions X that provide the "most desirable" response values Xi - Quality characteristics
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Advanced Tools of Quality Engineering Optimization of Multiple Quality Characteristics Using Desirability Function
The desirability approach The method finds operating conditions X that provide the "most desirable" response values • Xi - Quality characteristics • Yi(x) - Response values for Xi • di(Yi) - Desirability of response Yi(Xi) • D – Overall desirability achieved
The desirability approach • Nominal-the-best (NTB)
The desirability approach • Smaller-the-better (STB)
The desirability approach • Larger-the-better (LTB)
Example • The controllable factors : • X1 - Hydrated silica level • X2 - Silane coupling agent level • X3 - sulfur level. • The responses to be optimized : • Y1 - PICO Abrasion index (120 < Y1 ) LTB • Y2 - 200% modulus (1000 < Y2 ) LTB • Y3 - Elongation at break (400 < Y3<600) NTB • Y4 - Hardness (60 < Y4 < 75) NTB
