?? c04.rtf
字號:
常用優化方法 ——復合形法 懲罰函數法
^^^^^^^^^^^^^^^^^^^^^^^^^^
一、初始數據
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設計變量個數 N = 4
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不等式約束個數 KG = 2 復合形頂點個數 K = 4
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收斂精度 EPS = 1E-8
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設計變量初始點 X0:
X[1]=1
X[2]=5
X[3]=5
X[4]=1
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設計變量下界 BL:
BL[1]=1.28980443223783
BL[2]=0
BL[3]=0
BL[4]=0
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設計變量上界 BU:
BU[1]=1.28980443223783
BU[2]=3
BU[3]=3
BU[4]=3
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初始點目標函數值 F(X0)= 16
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初始點處的不等約束函數值 G(X0):
GX[1]= 1.200000E+01
GX[2]= 0.000000E+00
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二、計算過程__數據
===============================================================================
設計變量迭代點 X: 復合形迭代次數 ITE = 1
X[1]= 1.289804E+00
X[2]= 2.689647E+00
X[3]= 2.844294E+00
X[4]= 2.601026E+00
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目標函數值 F(X)= 25.7366974179145
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設計變量迭代點 X: 復合形迭代次數 ITE = 10
X[1]= 1.289804E+00
X[2]= 2.929483E+00
X[3]= 3.009288E+00
X[4]= 2.235425E+00
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目標函數值 F(X)= 23.8511587476016
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設計變量迭代點 X: 復合形迭代次數 ITE = 20
X[1]= 1.289804E+00
X[2]= 3.252704E+00
X[3]= 3.224470E+00
X[4]= 1.851899E+00
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目標函數值 F(X)= 21.7765783033238
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設計變量迭代點 X: 復合形迭代次數 ITE = 30
X[1]= 1.289804E+00
X[2]= 3.417422E+00
X[3]= 3.392453E+00
X[4]= 1.672283E+00
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目標函數值 F(X)= 20.8628003816572
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設計變量迭代點 X: 復合形迭代次數 ITE = 40
X[1]= 1.289804E+00
X[2]= 3.461488E+00
X[3]= 3.443160E+00
X[4]= 1.626531E+00
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目標函數值 F(X)= 20.6343590924758
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設計變量迭代點 X: 復合形迭代次數 ITE = 50
X[1]= 1.289804E+00
X[2]= 3.483210E+00
X[3]= 3.468498E+00
X[4]= 1.604374E+00
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目標函數值 F(X)= 20.5228957622548
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設計變量迭代點 X: 復合形迭代次數 ITE = 60
X[1]= 1.289804E+00
X[2]= 3.506575E+00
X[3]= 3.490290E+00
X[4]= 1.583724E+00
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目標函數值 F(X)= 20.4174283918855
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設計變量迭代點 X: 復合形迭代次數 ITE = 70
X[1]= 1.289804E+00
X[2]= 3.523733E+00
X[3]= 3.507859E+00
X[4]= 1.568099E+00
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目標函數值 F(X)= 20.3382263266477
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設計變量迭代點 X: 復合形迭代次數 ITE = 80
X[1]= 1.289804E+00
X[2]= 3.533440E+00
X[3]= 3.514493E+00
X[4]= 1.560832E+00
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目標函數值 F(X)= 20.2997563698005
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設計變量迭代點 X: 復合形迭代次數 ITE = 90
X[1]= 1.289804E+00
X[2]= 3.537722E+00
X[3]= 3.515722E+00
X[4]= 1.558397E+00
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目標函數值 F(X)= 20.2858743950235
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設計變量迭代點 X: 復合形迭代次數 ITE = 100
X[1]= 1.289804E+00
X[2]= 3.538882E+00
X[3]= 3.516072E+00
X[4]= 1.557731E+00
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目標函數值 F(X)= 20.2820911969696
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設計變量迭代點 X: 復合形迭代次數 ITE = 110
X[1]= 1.289804E+00
X[2]= 3.539287E+00
X[3]= 3.516300E+00
X[4]= 1.557451E+00
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目標函數值 F(X)= 20.280585073729
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設計變量迭代點 X: 復合形迭代次數 ITE = 120
X[1]= 1.289804E+00
X[2]= 3.539370E+00
X[3]= 3.516360E+00
X[4]= 1.557388E+00
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目標函數值 F(X)= 20.2802525032035
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設計變量迭代點 X: 復合形迭代次數 ITE = 130
X[1]= 1.289804E+00
X[2]= 3.539382E+00
X[3]= 3.516367E+00
X[4]= 1.557380E+00
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目標函數值 F(X)= 20.2802082856924
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設計變量迭代點 X: 復合形迭代次數 ITE = 140
X[1]= 1.289804E+00
X[2]= 3.539401E+00
X[3]= 3.516360E+00
X[4]= 1.557374E+00
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目標函數值 F(X)= 20.2801670530499
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設計變量迭代點 X: 復合形迭代次數 ITE = 150
X[1]= 1.289804E+00
X[2]= 3.539404E+00
X[3]= 3.516367E+00
X[4]= 1.557370E+00
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目標函數值 F(X)= 20.2801484400739
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設計變量迭代點 X: 復合形迭代次數 ITE = 160
X[1]= 1.289804E+00
X[2]= 3.539405E+00
X[3]= 3.516368E+00
X[4]= 1.557369E+00
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目標函數值 F(X)= 20.2801425204003
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設計變量迭代點 X: 復合形迭代次數 ITE = 170
X[1]= 1.289804E+00
X[2]= 3.539407E+00
X[3]= 3.516368E+00
X[4]= 1.557369E+00
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目標函數值 F(X)= 20.2801388490288
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設計變量迭代點 X: 復合形迭代次數 ITE = 180
X[1]= 1.289804E+00
X[2]= 3.539407E+00
X[3]= 3.516368E+00
X[4]= 1.557368E+00
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目標函數值 F(X)= 20.2801380475692
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二、計算過程__數據
===============================================================================
設計變量迭代點 X: 復合形迭代次數 ITE = 190
X[1]= 1.289804E+00
X[2]= 2.888863E+00
X[3]= 2.340959E+00
X[4]= 2.884908E+00
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目標函數值 F(X)= 26.600268117595
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設計變量迭代點 X: 復合形迭代次數 ITE = 200
X[1]= 1.289804E+00
X[2]= 3.209333E+00
X[3]= 2.221205E+00
X[4]= 2.725766E+00
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目標函數值 F(X)= 25.847946415922
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設計變量迭代點 X: 復合形迭代次數 ITE = 210
X[1]= 1.289804E+00
X[2]= 3.493947E+00
X[3]= 2.150608E+00
X[4]= 2.579547E+00
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目標函數值 F(X)= 25.2219956500111
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設計變量迭代點 X: 復合形迭代次數 ITE = 220
X[1]= 1.289804E+00
X[2]= 3.574776E+00
X[3]= 2.136909E+00
X[4]= 2.537520E+00
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目標函數值 F(X)= 25.0521207815938
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設計變量迭代點 X: 復合形迭代次數 ITE = 230
X[1]= 1.289804E+00
X[2]= 3.617977E+00
X[3]= 2.135613E+00
X[4]= 2.508598E+00
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目標函數值 F(X)= 24.9252251334964
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設計變量迭代點 X: 復合形迭代次數 ITE = 240
X[1]= 1.289804E+00
X[2]= 3.638377E+00
X[3]= 2.137674E+00
X[4]= 2.492110E+00
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目標函數值 F(X)= 24.8496926778637
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設計變量迭代點 X: 復合形迭代次數 ITE = 250
X[1]= 1.289804E+00
X[2]= 3.644788E+00
X[3]= 2.143136E+00
X[4]= 2.481397E+00
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目標函數值 F(X)= 24.7955265450729
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設計變量迭代點 X: 復合形迭代次數 ITE = 260
X[1]= 1.289804E+00
X[2]= 3.647939E+00
X[3]= 2.149804E+00
X[4]= 2.471563E+00
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目標函數值 F(X)= 24.7437247236691
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設計變量迭代點 X: 復合形迭代次數 ITE = 270
X[1]= 1.289804E+00
X[2]= 3.646862E+00
X[3]= 2.157062E+00
X[4]= 2.463967E+00
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目標函數值 F(X)= 24.7011826465804
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設計變量迭代點 X: 復合形迭代次數 ITE = 280
X[1]= 1.289804E+00
X[2]= 3.644696E+00
X[3]= 2.161389E+00
X[4]= 2.460492E+00
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目標函數值 F(X)= 24.6805755247728
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設計變量迭代點 X: 復合形迭代次數 ITE = 290
X[1]= 1.289804E+00
X[2]= 3.644280E+00
X[3]= 2.162728E+00
X[4]= 2.459249E+00
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目標函數值 F(X)= 24.6734620464037
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設計變量迭代點 X: 復合形迭代次數 ITE = 300
X[1]= 1.289804E+00
X[2]= 3.644220E+00
X[3]= 2.162894E+00
X[4]= 2.459101E+00
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目標函數值 F(X)= 24.6726126442091
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設計變量迭代點 X: 復合形迭代次數 ITE = 310
X[1]= 1.289804E+00
X[2]= 3.644171E+00
X[3]= 2.163000E+00
X[4]= 2.459013E+00
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目標函數值 F(X)= 24.6720963983167
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設計變量迭代點 X: 復合形迭代次數 ITE = 320
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