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256   Chapter Eight


                 y 1  A  A 12 A 13 0  x 1
                       11
                 y 2  =  A 21 A  0  0  x 2
                          22
                 y 3  A 31 0 0 0   x 3
                 y 4  A 41 A 42 A 43 A 44  x 4
                                            Adjustment Sequence:
                                            DPs       Objective  Effects
                      Reordering            x 1       y 3        y , y , y 4
                                                                  1
                                                                    2
                                            x 2       y 2        y , y 4
                                                                  1
                                            x 3       y 1        y 4
                                            x 4       y 4        –
                 y 3  A 31 0 0 0   x 1
                 y 2  =  A 21 A  0  0  x 2
                          22
                 y 1  A  A 12 A 13 0  x 3
                       11
                 y 4  A 41 A 42 A 43 A 44  x 4
           Figure 8.12 Design matrices reordering.

           are not always feasible because of incapable or outdated technology,
           cost of change, organizational culture, or other inhibitors. A company
           may choose to take an educated decision on keeping the coupled design
           entities but with reduced (minimized) degree of coupling among FRs.
           While the industry should recognize that this decision should be a
           short-term strategy, its adoption as a long-term strategy may result in
           losing its competitive edge when coupling resolution rather than min-
           imization is adopted by competition.
             The hard changes that target decoupling are difficult and costly to
           implement after launch, a scenario that could have been avoided
           when the system was designed following DFSS. This is seldom the
           case, and companies may resort to soft changes first to improve their
           current systems. The aim of such a practice is usually problem solv-
           ing of the immediate concerns. It is inevitable that the coupling be
           clearly characterized prior to proceeding to decouple the system. This
           may require rearrangement or reordering of the design matrices as
           described in Fig. 8.12.

           8.5.2 Design sequencing
           In this example, assume that we have a design equation [Eq. (8.11)].
           The following design steps (sequence) may be concluded and should be
           used in the subsequent the design activities in the optimization and
           verification phases as follows:
           1. Use DP 6 only to adjust and control FR 6 .
           2. Use DP 1 to adjust FR 1 . Fix DP 1 value accordingly.
           3. After fixing DP 1 , use DP 3 to control FR 3 . Fix DP 3 accordingly.
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