Introduction to Optimum Design phần 6 potx
... {} = g g g 2 3 4 65 6 0 95 1 65 665 6 095 360 0 0 1781 0 65 6 0 95 65 6 0 65 6 0 95 0 95 0 ., . . . ., . . ., . . () =- - () =- < () () =- < () () =- < () inactive inactive inactive ff g 10 2 1 65 6 ... 65 6 320 65 6 0 95 24 24 6 65 6 0 95 65 6 60 0 95 1 0 151 0 , ., . . . . , ., . . . . = () = () + ()() = () = () -= > () violation xxtd xxtd 1 1...
Ngày tải lên: 13/08/2014, 18:20
... Problem 220 6. 4.4 Phase I Algorithm 220 6. 4.5 Phase II Algorithm 221 6. 4 .6 Degenerate Basic Feasible Solution 2 26 6.5 Postoptimality Analysis 228 6. 5.1 Changes in Resource Limits 229 6. 5.2 Ranging ... the vector x. To summarize, the following considerations should be given in identifying design variables for a problem. 16 INTRODUCTION TO OPTIMUM DESIGN Is all the i...
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... as Plotg4=ContourPlot[g4,{x1,-1,25},{x2,-1,25}, ContourShadingÆFalse, ContoursÆ{0,.35}, ContourStyleÆ{{Thickness[.01]}, {GrayLevel[.8],Thickness[.02]}}, DisplayFunctionÆIdentity]; 62 INTRODUCTION TO OPTIMUM ... of a design problem may not be linear, in which case curves must be plotted to identify the feasible region, and contours or iso-cost curves must be drawn to identify th...
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Introduction to Optimum Design phần 3 pptx
... always convex. Sh itopg j m ij = () == () £= {} xx x01 01,; ,to Optimum Design Concepts 153 140 120 100 80 60 40 20 –20 –40 60 –80 –100 –120 –140 – 160 –5 –4 –3 –2 –1 1234 56 Function is convex ... of its use. 1 76 INTRODUCTION TO OPTIMUM DESIGN TABLE 5-1 Alternate Form of KKT Necessary Conditions Problem: minimize f(x) subject to h i (x) = 0, i = 1 to p; g j (x) £ 0,...
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Introduction to Optimum Design phần 4 pdf
... x1 1 .66 666 666 7 $C$11>=0 Not Binding 1 .66 666 666 7 $D$11 Variable value x2 0 .66 666 666 7 $D$11>=0 Not Binding 0 .66 666 666 7 FIGURE 6- 12 Answer Report from Solver for Example 6. 16. Example 6. 8 ... 4.333333333 Adjustable Cells Cell Name Original Value Final Value $C$11 Variable value x1 0 1 .66 666 666 7 $D$11 Variable value x2 0 0 .66 666 666 7 Constraints Cell Name Cel...
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Introduction to Optimum Design phần 5 pptx
... is always positive. 300 INTRODUCTION TO OPTIMUM DESIGN 322 INTRODUCTION TO OPTIMUM DESIGN FIGURE 9-7 Iteration history for Example 9.7 with Newton’s method. TABLE 9-2 Optimum Solution for Example ... can Ttt==- () 0 25 766 3 0 966 235.,. t =- () 415, Ccc== () 0 966 235 0 25 766 3.,. c =¥+¥=30 30 8 8 31 04835. c =— () = () = () = () ffxfxxx0 6 4 50 2 30 8 12 12 ., , , ,∂∂ ∂...
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Introduction to Optimum Design phần 7 pot
... + () È Î Í Í Í ˘ ˚ ˙ ˙ ˙ T x 1 154 07 100 0 57275 0 864 0 864 12 0 96 6 61 0 04 0 864 0 864 12 0 96 . . . . . . . . . E E ∂ ∂ = È Î Í Í Í ˘ ˚ ˙ ˙ ˙ J x 0 864 0 864 12 0 96 . . . Design Optimization Applications with ... constraints. 458 INTRODUCTION TO OPTIMUM DESIGN 11 10 9 8 7 6 5 4 3 2 1 0 123 Iteration no. Design variable value 4 567 891011121314 FIGURE 1...
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Introduction to Optimum Design phần 8 pot
... 3.750 W 36 ¥ 230 67 .60 35.90 0. 760 16. 470 1. 260 15000 837 14.90 940 114 3.730 W 36 ¥ 210 61 .80 36. 69 0.830 12.180 1. 360 13200 719 14 .60 411 67 .5 2.580 W 36 ¥ 194 57.00 36. 49 0. 765 12.115 1. 260 12100 66 4 ... 3.830 W 36 ¥ 280 82.40 36. 52 0.885 16. 595 1.570 18900 1030 15.10 1200 144 3.810 W 36 ¥ 260 76. 50 36. 26 0.840 16. 550 1.440 17300 953 15.00 1090 132 3.780 W 36 ¥...
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Introduction to Optimum Design phần 9 ppsx
... 3. 460 4E-03), (2.0 567 E-03, 1.3514E-05), (1.0345E-05, 5.2375E- 06) , (6. 8306E+00, 6. 3000E-08), (3.0234E-02, 7.0000E-10), (1.2814E-03, 3.4050E-04), (2. 266 0E-07, 1 .66 38E- 06) , (2. 564 5E-01, 3.5256E-05). 18.9 ... sppwf =+ () - () + () - () + () - () =+ + +- = 900 000 40 000 0 15 60 60 000 0 15 20 900 000 0 15 20 60 000 0 15 40 900 000 0 15 40 60 000 0 15 60 900 000 266 60 5 84...
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Introduction to Optimum Design phần 10 ppsx
... 10. 6. 56 Unbounded. 6. 57 x* = (3.5, 0.5); z* = 5.5. 6. 58 x* = (1 .66 7, 0 .66 7); z* = 4.333. 6. 60 x* = (0, 1 .66 7, 2.333); f* = 4.333. 6. 61 x* = (1.125, 1.375); f* = 36. 6. 62 x* = (2, 0); f* = 40. 6. 63 ... method, 578, 5 86 Algebra, vector and matrix, 61 1 64 6 concepts related to set of vectors, 63 5 64 1 definition of matrices, 61 1 61 3 eigenvalues and eigenvectors,...
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