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Design Optimization: Advanced Taguchi Robust Parameter Design  565

           TABLE 15.7 Complete Inner-Array Run of Body Warmer Data

                                                       M
             M*      Noise factor  M 1   6    M 2   12   M 3   18    M 4   24
            M* 1        N1          93.82      160.44     199.06     221.76
            70%         N2          104.16     199.92     263.34     305.76
            M* 2        N1          105.00     183.6       219.6     232.80
            100%        N2          142.80     264.0       351.0     400.80
            M* 3        N1          152.10     277.68     341.64     358.80
            130%        N2          165.36     322.92     435.24     483.60



             So,
                                           15.6 2
                              S/N   10 log           11.86
                                            3738


           15.4 Functional Quality and Dynamic
           S/N Ratio

           After the thorough description of the ideal function, dynamic signal-to-
           noise ratio, and robust parameter design for dynamic characteristics
           (requirement) in the last few sections, we are ready to discuss many
           in-depth issues in advanced Taguchi methods.


           15.4.1 Why is functional quality preferred
           in parameter design?
           Functional quality is expressed by the ideal function. The ideal func-
           tion is directly related to the main transformation process; whether it
           is energy, material, or signal transformation, the main transformation
           is the most important transformation for the system’s main function.
           In a product/process design stage, the most important goal is to make
           sure that the product will deliver its main function correctly and con-
           sistently. Therefore, functional quality addresses the most important
           quality issue in the design stage.
             If we focus on customer quality, such as percentage failure and
           noise, at parameter design stage, we could overreact to symptoms of
           the poor design and ignore the fundamental issues of the design. We
           could react to one type of symptom, such as vibration, and make some
           design changes, which may  “cure” that symptom but worsen other
           aspects of the design. Next time, we will have to react to another symp-
           tom and we could run into a cycle of rework and contradiction.
             If we have defined a good ideal function and use dynamic S/N as the
           robustness measure, together with a sound choice of noise factors and
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