Advanced Engineering Design
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Cites background or methods from "Advanced Engineering Design"
...This codification is defined in Benavides (2012) as xj = mj − m̄j+mj2 m̄j−mj 2 , j = 1, 2, . . . , q (8) yi = li − l̄i+li2 l̄i−li 2 , i = 1, 2, . . . , r (9) Fluctuation and feasibility attributes ensure that these codifications are well defined....
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...The equality ai = 0was also obtained in Benavides (2012) and Rodríguez and Benavides (2013) and converts inequality B4 (in Appendix B) into q∑ j=1 |Aij| ≤ min(1 − Vi(xmax), 1 + Vi(xmin)) (24) Note that Theorem 6.17 tends to reduce the number of non-zero elements present in a row of theDDMtoone…...
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...This is easily done by using one vertical plate and another horizontal one (see Suh [1990]) or by moving vertically and horizontally a single T-plate as Figure 3 shows (Benavides 2012)....
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...…+ V(x,n) (21) Here,A is the following rectangularmatrix of size r × q, called Design DimensionlessMatrix (DDM): A(n) = ⎡ ⎢⎣ A11(n) · · · A1q(n) ... . . . ... Ar1(n) · · · Arq(n) ⎤ ⎥⎦ (22) Aij(n) = m̄j − mj l̄i − li ∂fi(mo,n) ∂mj (23) This form of the design matrix also appears in Benavides (2012)....
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...A Linearity Theorem has been also reported by Benavides (2012) and Benavides and Rodriguez (2016), but their proof uses an external ingredient to Axiomatic Design: the transformation of Cs (the bounds of the previous FRs) into new FRs. • This framework gives a main role to both the IRs and the CRs…...
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