Computes the minimum of a number of desirability functions.
The Desirability Index was introduced by Harrington (1965), and the concept was extended by Derringer and Suich (1980). It is a means for multicriteria (quality) optimization in industrial quality management. All desirability functions of the quality criteria are combined into a univariate global quality criterion in [0,1] which has to be optimized.
The function can be used for Harrington as well as Derringer and Suich desirability functions.
minimumDI(f, ...) returns a function object of the Minimum
J. Harrington (1965): The desirability function. Industrial Quality Control, 21: 494-498.
G.C. Derringer, D. Suich (1980): Simultaneous optimization of several response variables. Journal of Quality Technology 12 (4): 214-219.
D. Steuer (2005): Statistische Eigenschaften der Multikriteriellen Optimierung mittels Wuenschbarkeiten. Dissertation, Dortmund University of Technology, http://hdl.handle.net/2003/20171.
H. Trautmann, C. Weihs (2006): On the Distribution of the Desirability Index using Harrington's Desirability Function. Metrika 63(2): 207-213.
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