2006
DOI: 10.1007/bf02917519
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Trade-off analysis in multi-objective optimization using Chebyshev orthogonal polynomials

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Cited by 12 publications
(5 citation statements)
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“…Also, since every term in an orthogonal polynomial is independent of each other, the estimates of the regression coefficient can be calculated successively from low order to higher order. This enables the derivation of an efficient approximation model, since the base can be normalized even when the coefficient of the higher order is not known or the coefficient difference becomes large [19,22].…”
Section: Taguchi Optimization Technique With Missing Datamentioning
confidence: 99%
See 1 more Smart Citation
“…Also, since every term in an orthogonal polynomial is independent of each other, the estimates of the regression coefficient can be calculated successively from low order to higher order. This enables the derivation of an efficient approximation model, since the base can be normalized even when the coefficient of the higher order is not known or the coefficient difference becomes large [19,22].…”
Section: Taguchi Optimization Technique With Missing Datamentioning
confidence: 99%
“…Estimate the missing value by using the approximation model and take this value as the first approximate value. The approximation model uses the Chebyshev orthogonal polynomial P n (x), where the degree of the design variable x is n [19][20][21][22]. If these are expressed in the form of a second-order polynomial, and can be expressed as Eq.…”
Section: Taguchi Optimization Technique With Missing Datamentioning
confidence: 99%
“…8). Based on this assumption, the applied force on the inner and outer contact region is 1.1MN and 2.9MN, respectively 15,16 …”
Section: Fatigue Strength Analysis Of the Table Linermentioning
confidence: 99%
“…Based on this assumption, the applied force on the inner and outer contact region is 1.1MN and 2.9MN, respectively. 15,16 Figure 9 shows the FEA of the table liner. The maximum principal stress of 222.3 MPa was obtained at the loading point.…”
Section: Failure Accident Of the Table Linermentioning
confidence: 99%
“…To improve productivity and/or minimize production time and cost, optimization of a production plan or optimal scheduling is a critical step. There have been extensive research efforts to develop a variety of optimization techniques and apply them to numerous fields in mechanical engineering including scheduling [3][4][5][6][7][8][9]. Also, in steel making, researchers have performed continual investigations for scheduling or production planning of a steel mill.…”
Section: Introductionmentioning
confidence: 99%