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506   Chapter Fourteen


            Piece to piece variation
            of design parameters x
                                          Variation of Y
                                   Y
               Transfer function
                  g(x, z) = Y




            Variation of noise
            factors z
           Figure 14.7 Sources of variation for Y.



             target values. This unit-to-unit variation of design parameters is
             expressed as x   (x 1 , x 2 ,…, x n ).
           ■ Deterioration sources (wearout). These are functional characteristics
             which degrade or deteriorate from the time the product is new, such
             as material fatigue or aging and wear, abrasion, and the general
             effects of usage over time. This source could be either the time-related
             variation of design parameters x   (x 1 , x 2 ,…, x n ), where certain design
             parameters may degrade over time, or time-related variation of noise
             factors z   (z 1 , z 2 ,…, z n ).
           In Taguchi’s approach, we can achieve quality improvement by reduc-
           ing quality loss in the following three stages:
           1. System design. This broadly corresponds to conceptual design in the
              generalized model of the design process. In the system design stage,
              the technology used in the design is finalized; the system configura-
              tion, the subsystem structures, and their relationships are deter-
              mined. Robust design using the Taguchi method does not focus on the
              system design stage. However, different system designs certainly will
              have different sets of design parameters, noise factors, and transfer
              functions; therefore, system design will certainly affect quality loss.
           2. Parameter design. This stage follows the system design stage. In the
              parameter design stage, the transfer function will already have
              been finalized (in the system design stage); but the nominal values
              of design parameters can still be adjusted, such as when we design
              power supply circuits for small appliances. After system design, the
              circuit diagram has already been finalized. But we still can change
              the design values of the circuit parameters, such as the designed
              value of resistors and transistors. Given the transfer function
                              Y   g(x 1, x 2,…, x n ; z 1 , z 2 ,…, z n ).
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