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240   Chapter Eight


             After satisfying axiom 1, design simplicity is pursued by minimizing
           the information contents per axiom 2. In this context, information content
           is defined as a measure of complexity and is related to the probability
           of successfully manufacturing (producing) the design as intended.

           8.4 The Independence Axiom (Axiom 1)

           The design process involves three mappings between four domains
           (Fig. 8.1). The first mapping involves the mapping between critical-to-
           satisfaction (CTS) customer attributes and the functional require-
           ments (FRs). A functional requirement is a solution-neutral, that is,
           design-parameter-independent, statement of what a system does and
           usually is expressed as a (verb, noun) pair or an active (verb, noun,
           phrase) triplet (e.g., carry load, conduct heat). In this mapping, in all
           elements of the physical structure there should be a team member
           responsible for the structure’s life through the design algorithm
           stages. Functional specifications are established and propagated up
           regardless of the array of DPs used. The physical mapping is very crit-
           ical as it yields the definition of the high-level minimum set of func-
           tional requirements needed to accomplish the design objective from
           the customer perspective. It can be performed by means of quality
           function deployment (QFD) (Chap. 7). Once the minimum set of FRs or
           CTSs are defined, the physical mapping may be started. This mapping
           involves the FR domain and the design parameter (DP) codomain. It
           represents the preliminary and detail design phases in the develop-
           ment cycle and can be represented by design matrices, hence the term
           “mapping” is used, as the high-level set of FRs are cascaded down to
           the lowest level of decomposition. The set of design matrices forms the
           conceptual physical structure that reveals coupling vulnerability and
           provides a means to track the chain of effects for design changes as
           they propagate across the structure.
             The  process mapping is the last mapping and involves the DP
           domain and the process variables (PV) codomain. This mapping can be





                                             Y=f(x)
                                Matrix A
              CAs         FRs          DPs          PVs
               •            •            •           •
               •            •            •           •
               •            •            •           •
                                 Y=f(x)      Matrix B

                            Physical Mapping    Process Mapping
           Figure 8.1 The design process mappings.
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