s09.rtf

机械优化设计中的惩罚函数法

                          常用优化方法——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 = 8       等式约束个数      KH = 0
  -----------------------------------------------------------------------------
   惩罚因子         R = 0       惩罚因子降低系数   C = 0.2
  -----------------------------------------------------------------------------
   初始步长        T0 = 0.001       收敛精度         EPS = 1E-10
  -----------------------------------------------------------------------------
   无约束优化方法: POWELL法
  -----------------------------------------------------------------------------
   设计变量初始点 X0:
			X[1]=-3
			X[2]=-1
			X[3]=-3
			X[4]=-1
  -----------------------------------------------------------------------------
   设计变量下界 BL:
			BL[1]=-10
			BL[2]=-10
			BL[3]=-10
			BL[4]=-10
  -----------------------------------------------------------------------------
   设计变量上界 BU:
			BU[1]=10
			BU[2]=10
			BU[3]=10
			BU[4]=10
  -----------------------------------------------------------------------------
   初始点目标函数值 F(X0)= 19175.2
  -----------------------------------------------------------------------------
   初始点处的不等约束函数值 G(X0):
				GX[1]= -7.000000E+00
				GX[2]= -9.000000E+00
				GX[3]= -7.000000E+00
				GX[4]= -9.000000E+00
				GX[5]= -1.300000E+01
				GX[6]= -1.100000E+01
				GX[7]= -1.300000E+01
				GX[8]= -1.100000E+01
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二、计算过程__数据
===============================================================================
   IRC = 0	   R = 2.273018E+04	   PEN = 38350.4
  -----------------------------------------------------------------------------
   IRC = 1	   R = 4.546036E+03	   PEN = 18219.9578663768
  -----------------------------------------------------------------------------
   IRC = 2	   R = 9.092072E+02	   PEN = 3660.07857427925
  -----------------------------------------------------------------------------
   IRC = 3	   R = 1.818414E+02	   PEN = 733.990300940201
  -----------------------------------------------------------------------------
   IRC = 4	   R = 3.636829E+01	   PEN = 146.911494369308
  -----------------------------------------------------------------------------
   IRC = 5	   R = 7.273658E+00	   PEN = 29.3872526419268
  -----------------------------------------------------------------------------
   IRC = 6	   R = 1.454732E+00	   PEN = 5.87765264591945
  -----------------------------------------------------------------------------
   IRC = 7	   R = 2.909463E-01	   PEN = 1.17553869461771
  -----------------------------------------------------------------------------
   IRC = 8	   R = 5.818926E-02	   PEN = 0.235108055111311
  -----------------------------------------------------------------------------
   IRC = 9	   R = 1.163785E-02	   PEN = 0.0470216242400251
  -----------------------------------------------------------------------------
   IRC = 10	   R = 2.327571E-03	   PEN = 0.00940432560592972
  -----------------------------------------------------------------------------
   IRC = 11	   R = 4.655141E-04	   PEN = 0.00188086538080883
  -----------------------------------------------------------------------------
   IRC = 12	   R = 9.310282E-05	   PEN = 0.000376173315825029
  -----------------------------------------------------------------------------
   IRC = 13	   R = 1.862056E-05	   PEN = 7.5234902055224E-5
  -----------------------------------------------------------------------------
   IRC = 14	   R = 3.724113E-06	   PEN = 1.50472192585112E-5
  -----------------------------------------------------------------------------
   IRC = 15	   R = 7.448226E-07	   PEN = 3.00968267599431E-6
  -----------------------------------------------------------------------------
   IRC = 16	   R = 1.489645E-07	   PEN = 6.02175381572226E-7
  -----------------------------------------------------------------------------
   IRC = 17	   R = 2.979290E-08	   PEN = 1.20673870789821E-7
  -----------------------------------------------------------------------------
   IRC = 18	   R = 5.958581E-09	   PEN = 2.43736254490619E-8
  -----------------------------------------------------------------------------
   IRC = 19	   R = 1.191716E-09	   PEN = 5.11356575228835E-9
  -----------------------------------------------------------------------------
                                                                               
三、优化结果__数据
===============================================================================
   罚函数构造次数          IRC = 20
  -----------------------------------------------------------------------------
   无约束优化方法调用次数  ITE = 76   一维搜索方法调用次数   ILI = 351
  -----------------------------------------------------------------------------
   惩罚函数值计算次数      NPE = 1587   目标函数值计算次数     IFX = 1666
  -----------------------------------------------------------------------------
   设计变量最优点 X*:
			X[1]= 1.000013E+00
			X[2]= 1.000025E+00
			X[3]= 9.999871E-01
			X[4]= 9.999743E-01
  -----------------------------------------------------------------------------
   最优值 F(X*)= 2.98551127590318E-10
  -----------------------------------------------------------------------------
   最优点处的不等约束函数值 G(X*):
				GX[1]= -1.100001E+01
				GX[2]= -1.100003E+01
				GX[3]= -1.099999E+01
				GX[4]= -1.099997E+01
				GX[5]= -8.999987E+00
				GX[6]= -8.999975E+00
				GX[7]= -9.000013E+00
				GX[8]= -9.000026E+00
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--- STOP ---