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📁 机械优化设计中的复合型法
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                          常用优化方法 ——复合形法   惩罚函数法 
                          ^^^^^^^^^^^^^^^^^^^^^^^^^^ 
                                                                               
一、初始数据
===============================================================================
   设计变量个数     N = 4
  -----------------------------------------------------------------------------
   不等式约束个数  KG = 2       复合形顶点个数      K = 4
  -----------------------------------------------------------------------------
   收敛精度       EPS = 1E-8
  -----------------------------------------------------------------------------
   设计变量初始点 X0:
			X[1]=1
			X[2]=5
			X[3]=5
			X[4]=1
  -----------------------------------------------------------------------------
   设计变量下界 BL:
			BL[1]=1.28980443223783
			BL[2]=0
			BL[3]=0
			BL[4]=0
  -----------------------------------------------------------------------------
   设计变量上界 BU:
			BU[1]=1.28980443223783
			BU[2]=3
			BU[3]=3
			BU[4]=3
  -----------------------------------------------------------------------------
   初始点目标函数值 F(X0)= 16
  -----------------------------------------------------------------------------
   初始点处的不等约束函数值 G(X0):
				GX[1]= 1.200000E+01
				GX[2]= 0.000000E+00
-------------------------------------------------------------------------------
                                                              
二、计算过程__数据
===============================================================================
   设计变量迭代点 X:                         复合形迭代次数  ITE = 1
			X[1]= 1.289804E+00
			X[2]= 2.689647E+00
			X[3]= 2.844294E+00
			X[4]= 2.601026E+00
  -----------------------------------------------------------------------------
   目标函数值 F(X)= 25.7366974179145
  -----------------------------------------------------------------------------
   设计变量迭代点 X:                         复合形迭代次数  ITE = 10
			X[1]= 1.289804E+00
			X[2]= 2.929483E+00
			X[3]= 3.009288E+00
			X[4]= 2.235425E+00
  -----------------------------------------------------------------------------
   目标函数值 F(X)= 23.8511587476016
  -----------------------------------------------------------------------------
   设计变量迭代点 X:                         复合形迭代次数  ITE = 20
			X[1]= 1.289804E+00
			X[2]= 3.252704E+00
			X[3]= 3.224470E+00
			X[4]= 1.851899E+00
  -----------------------------------------------------------------------------
   目标函数值 F(X)= 21.7765783033238
  -----------------------------------------------------------------------------
   设计变量迭代点 X:                         复合形迭代次数  ITE = 30
			X[1]= 1.289804E+00
			X[2]= 3.417422E+00
			X[3]= 3.392453E+00
			X[4]= 1.672283E+00
  -----------------------------------------------------------------------------
   目标函数值 F(X)= 20.8628003816572
  -----------------------------------------------------------------------------
   设计变量迭代点 X:                         复合形迭代次数  ITE = 40
			X[1]= 1.289804E+00
			X[2]= 3.461488E+00
			X[3]= 3.443160E+00
			X[4]= 1.626531E+00
  -----------------------------------------------------------------------------
   目标函数值 F(X)= 20.6343590924758
  -----------------------------------------------------------------------------
   设计变量迭代点 X:                         复合形迭代次数  ITE = 50
			X[1]= 1.289804E+00
			X[2]= 3.483210E+00
			X[3]= 3.468498E+00
			X[4]= 1.604374E+00
  -----------------------------------------------------------------------------
   目标函数值 F(X)= 20.5228957622548
  -----------------------------------------------------------------------------
   设计变量迭代点 X:                         复合形迭代次数  ITE = 60
			X[1]= 1.289804E+00
			X[2]= 3.506575E+00
			X[3]= 3.490290E+00
			X[4]= 1.583724E+00
  -----------------------------------------------------------------------------
   目标函数值 F(X)= 20.4174283918855
  -----------------------------------------------------------------------------
   设计变量迭代点 X:                         复合形迭代次数  ITE = 70
			X[1]= 1.289804E+00
			X[2]= 3.523733E+00
			X[3]= 3.507859E+00
			X[4]= 1.568099E+00
  -----------------------------------------------------------------------------
   目标函数值 F(X)= 20.3382263266477
  -----------------------------------------------------------------------------
   设计变量迭代点 X:                         复合形迭代次数  ITE = 80
			X[1]= 1.289804E+00
			X[2]= 3.533440E+00
			X[3]= 3.514493E+00
			X[4]= 1.560832E+00
  -----------------------------------------------------------------------------
   目标函数值 F(X)= 20.2997563698005
  -----------------------------------------------------------------------------
   设计变量迭代点 X:                         复合形迭代次数  ITE = 90
			X[1]= 1.289804E+00
			X[2]= 3.537722E+00
			X[3]= 3.515722E+00
			X[4]= 1.558397E+00
  -----------------------------------------------------------------------------
   目标函数值 F(X)= 20.2858743950235
  -----------------------------------------------------------------------------
   设计变量迭代点 X:                         复合形迭代次数  ITE = 100
			X[1]= 1.289804E+00
			X[2]= 3.538882E+00
			X[3]= 3.516072E+00
			X[4]= 1.557731E+00
  -----------------------------------------------------------------------------
   目标函数值 F(X)= 20.2820911969696
  -----------------------------------------------------------------------------
   设计变量迭代点 X:                         复合形迭代次数  ITE = 110
			X[1]= 1.289804E+00
			X[2]= 3.539287E+00
			X[3]= 3.516300E+00
			X[4]= 1.557451E+00
  -----------------------------------------------------------------------------
   目标函数值 F(X)= 20.280585073729
  -----------------------------------------------------------------------------
   设计变量迭代点 X:                         复合形迭代次数  ITE = 120
			X[1]= 1.289804E+00
			X[2]= 3.539370E+00
			X[3]= 3.516360E+00
			X[4]= 1.557388E+00
  -----------------------------------------------------------------------------
   目标函数值 F(X)= 20.2802525032035
  -----------------------------------------------------------------------------
   设计变量迭代点 X:                         复合形迭代次数  ITE = 130
			X[1]= 1.289804E+00
			X[2]= 3.539382E+00
			X[3]= 3.516367E+00
			X[4]= 1.557380E+00
  -----------------------------------------------------------------------------
   目标函数值 F(X)= 20.2802082856924
  -----------------------------------------------------------------------------
   设计变量迭代点 X:                         复合形迭代次数  ITE = 140
			X[1]= 1.289804E+00
			X[2]= 3.539401E+00
			X[3]= 3.516360E+00
			X[4]= 1.557374E+00
  -----------------------------------------------------------------------------
   目标函数值 F(X)= 20.2801670530499
  -----------------------------------------------------------------------------
   设计变量迭代点 X:                         复合形迭代次数  ITE = 150
			X[1]= 1.289804E+00
			X[2]= 3.539404E+00
			X[3]= 3.516367E+00
			X[4]= 1.557370E+00
  -----------------------------------------------------------------------------
   目标函数值 F(X)= 20.2801484400739
  -----------------------------------------------------------------------------
   设计变量迭代点 X:                         复合形迭代次数  ITE = 160
			X[1]= 1.289804E+00
			X[2]= 3.539405E+00
			X[3]= 3.516368E+00
			X[4]= 1.557369E+00
  -----------------------------------------------------------------------------
   目标函数值 F(X)= 20.2801425204003
  -----------------------------------------------------------------------------
   设计变量迭代点 X:                         复合形迭代次数  ITE = 170
			X[1]= 1.289804E+00
			X[2]= 3.539407E+00
			X[3]= 3.516368E+00
			X[4]= 1.557369E+00
  -----------------------------------------------------------------------------
   目标函数值 F(X)= 20.2801388490288
  -----------------------------------------------------------------------------
   设计变量迭代点 X:                         复合形迭代次数  ITE = 180
			X[1]= 1.289804E+00
			X[2]= 3.539407E+00
			X[3]= 3.516368E+00
			X[4]= 1.557368E+00
  -----------------------------------------------------------------------------
   目标函数值 F(X)= 20.2801380475692
  -----------------------------------------------------------------------------
-------------------------------------------------------------------------------
                                                              
二、计算过程__数据
===============================================================================
   设计变量迭代点 X:                         复合形迭代次数  ITE = 190
			X[1]= 1.289804E+00
			X[2]= 2.888863E+00
			X[3]= 2.340959E+00
			X[4]= 2.884908E+00
  -----------------------------------------------------------------------------
   目标函数值 F(X)= 26.600268117595
  -----------------------------------------------------------------------------
   设计变量迭代点 X:                         复合形迭代次数  ITE = 200
			X[1]= 1.289804E+00
			X[2]= 3.209333E+00
			X[3]= 2.221205E+00
			X[4]= 2.725766E+00
  -----------------------------------------------------------------------------
   目标函数值 F(X)= 25.847946415922
  -----------------------------------------------------------------------------
   设计变量迭代点 X:                         复合形迭代次数  ITE = 210
			X[1]= 1.289804E+00
			X[2]= 3.493947E+00
			X[3]= 2.150608E+00
			X[4]= 2.579547E+00
  -----------------------------------------------------------------------------
   目标函数值 F(X)= 25.2219956500111
  -----------------------------------------------------------------------------
   设计变量迭代点 X:                         复合形迭代次数  ITE = 220
			X[1]= 1.289804E+00
			X[2]= 3.574776E+00
			X[3]= 2.136909E+00
			X[4]= 2.537520E+00
  -----------------------------------------------------------------------------
   目标函数值 F(X)= 25.0521207815938
  -----------------------------------------------------------------------------
   设计变量迭代点 X:                         复合形迭代次数  ITE = 230
			X[1]= 1.289804E+00
			X[2]= 3.617977E+00
			X[3]= 2.135613E+00
			X[4]= 2.508598E+00
  -----------------------------------------------------------------------------
   目标函数值 F(X)= 24.9252251334964
  -----------------------------------------------------------------------------
   设计变量迭代点 X:                         复合形迭代次数  ITE = 240
			X[1]= 1.289804E+00
			X[2]= 3.638377E+00
			X[3]= 2.137674E+00
			X[4]= 2.492110E+00
  -----------------------------------------------------------------------------
   目标函数值 F(X)= 24.8496926778637
  -----------------------------------------------------------------------------
   设计变量迭代点 X:                         复合形迭代次数  ITE = 250
			X[1]= 1.289804E+00
			X[2]= 3.644788E+00
			X[3]= 2.143136E+00
			X[4]= 2.481397E+00
  -----------------------------------------------------------------------------
   目标函数值 F(X)= 24.7955265450729
  -----------------------------------------------------------------------------
   设计变量迭代点 X:                         复合形迭代次数  ITE = 260
			X[1]= 1.289804E+00
			X[2]= 3.647939E+00
			X[3]= 2.149804E+00
			X[4]= 2.471563E+00
  -----------------------------------------------------------------------------
   目标函数值 F(X)= 24.7437247236691
  -----------------------------------------------------------------------------
   设计变量迭代点 X:                         复合形迭代次数  ITE = 270
			X[1]= 1.289804E+00
			X[2]= 3.646862E+00
			X[3]= 2.157062E+00
			X[4]= 2.463967E+00
  -----------------------------------------------------------------------------
   目标函数值 F(X)= 24.7011826465804
  -----------------------------------------------------------------------------
   设计变量迭代点 X:                         复合形迭代次数  ITE = 280
			X[1]= 1.289804E+00
			X[2]= 3.644696E+00
			X[3]= 2.161389E+00
			X[4]= 2.460492E+00
  -----------------------------------------------------------------------------
   目标函数值 F(X)= 24.6805755247728
  -----------------------------------------------------------------------------
   设计变量迭代点 X:                         复合形迭代次数  ITE = 290
			X[1]= 1.289804E+00
			X[2]= 3.644280E+00
			X[3]= 2.162728E+00
			X[4]= 2.459249E+00
  -----------------------------------------------------------------------------
   目标函数值 F(X)= 24.6734620464037
  -----------------------------------------------------------------------------
   设计变量迭代点 X:                         复合形迭代次数  ITE = 300
			X[1]= 1.289804E+00
			X[2]= 3.644220E+00
			X[3]= 2.162894E+00
			X[4]= 2.459101E+00
  -----------------------------------------------------------------------------
   目标函数值 F(X)= 24.6726126442091
  -----------------------------------------------------------------------------
   设计变量迭代点 X:                         复合形迭代次数  ITE = 310
			X[1]= 1.289804E+00
			X[2]= 3.644171E+00
			X[3]= 2.163000E+00
			X[4]= 2.459013E+00
  -----------------------------------------------------------------------------
   目标函数值 F(X)= 24.6720963983167
  -----------------------------------------------------------------------------
   设计变量迭代点 X:                         复合形迭代次数  ITE = 320

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