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Design for Six Sigma Project Algorithm  157


             In a decoupled design case, a design matrix of lower/upper triangle
           DPs is adjusted in some sequence conveyed by the matrix. Uncoupled
           and decoupled design entities possess conceptual robustness, where
           the DPs can be changed to affect intended requirements only without
           readjustment of any unintended functional requirements. Definitely, a
           coupled design results when the matrix has the number of require-
           ments greater than the number of DPs. The coupled design may be
           uncoupled or decoupled by “smartly” adding extra DPs to the struc-
           ture. Uncoupling or decoupling is an activity that is paced with struc-
           ture detailing and can be dealt with using axiomatic design theorems
           and corollaries. Uncoupled and decoupled designs have higher poten-
           tials to achieve Six Sigma capability in all FRs than do coupled
           designs. Design for Six Sigma in the conceptual sense is defined as
           having an overall uncoupled or decoupled design by conducting the
           process mapping and physical mapping concurrently by the team.


           5.7.3 Simplify design using axiom 2
           (DFSS algorithm step 6)
           After maintaining independence per axiom 1, the DFSS team should
           select the design with the least information content. The less informa-
           tion specified to manufacture or produce the design, the less complex
           it is; hence, information measures are measures of complexity. In gen-
           eral, “complexity” is defined as a quality of designed entities.
           Complexity in design has many facets, including the lack of trans-
           parency of the transfer functions between inputs and outputs in the
           physical structure, the relative difficulty of employed physical and
           transactional processes, and the relatively large number of assemblies,
           processes, and components involved (Phal and Beitz 1988). In Chap. 8,
           we explore different techniques to simplify the design. For now, suffice
           it to say that the number, variance, and correlation relationships of the
           design elements are components of design complexity.


           5.8 Initiate Design Scorecards and Transfer
           Function Development (DFSS Algorithm Step 7)

           The functional requirements in the physical structure can be further
           detailed by design scorecards and transfer functions, two unique con-
           cepts of the DFSS algorithm (Chap. 6). The transfer function is the
           means for dialing customer satisfaction and can be initially identified
           via the different design mappings. A transfer function is a relation-
           ship, preferably mathematical, in the concerned mapping linking con-
           trollable and uncontrollable factors. Transfer functions can be derived,
           empirically obtained from a DOE, or regressed using historical data.
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