s06.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
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   设计变量个数     N = 2
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   不等式约束个数  KG = 3       等式约束个数      KH = 0
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   惩罚因子         R = 1       惩罚因子降低系数   C = 0.2
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   初始步长        T0 = 0.01       收敛精度         EPS = 1E-6
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   无约束优化方法: POWELL法
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   设计变量初始点 X0:
			X[1]=8
			X[2]=14
  -----------------------------------------------------------------------------
   设计变量下界 BL:
			BL[1]=0
			BL[2]=0
  -----------------------------------------------------------------------------
   设计变量上界 BU:
			BU[1]=9
			BU[2]=9
  -----------------------------------------------------------------------------
   初始点目标函数值 F(X0)= 265
  -----------------------------------------------------------------------------
   初始点处的不等约束函数值 G(X0):
				GX[1]= -1.960000E+02
				GX[2]= -4.000000E+00
				GX[3]= -2.000000E+00
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二、计算过程__数据
===============================================================================
   IRC = 0	   R = 1.000000E+00	   PEN = 265.755102040816
  -----------------------------------------------------------------------------
   IRC = 1	   R = 2.000000E-01	   PEN = 0.963904785467965
  -----------------------------------------------------------------------------
   IRC = 2	   R = 4.000000E-02	   PEN = 0.346286622714824
  -----------------------------------------------------------------------------
   IRC = 3	   R = 8.000000E-03	   PEN = 0.20829584009537
  -----------------------------------------------------------------------------
   IRC = 4	   R = 1.600000E-03	   PEN = 0.17861927558741
  -----------------------------------------------------------------------------
   IRC = 5	   R = 3.200000E-04	   PEN = 0.0875652685466983
  -----------------------------------------------------------------------------
   IRC = 6	   R = 6.400000E-05	   PEN = 0.0760635873568435
  -----------------------------------------------------------------------------
   IRC = 7	   R = 1.280000E-05	   PEN = 0.0712121704238996
  -----------------------------------------------------------------------------
   IRC = 8	   R = 2.560000E-06	   PEN = 0.0690305797623122
  -----------------------------------------------------------------------------
   IRC = 9	   R = 5.120000E-07	   PEN = 0.06806334784507
  -----------------------------------------------------------------------------
   IRC = 10	   R = 1.024000E-07	   PEN = 0.0676212238236533
  -----------------------------------------------------------------------------
   IRC = 11	   R = 2.048000E-08	   PEN = 0.0674232792585169
  -----------------------------------------------------------------------------
   IRC = 12	   R = 4.096000E-09	   PEN = 0.0673184010189875
  -----------------------------------------------------------------------------
   IRC = 13	   R = 8.192000E-10	   PEN = 0.0673009867422606
  -----------------------------------------------------------------------------
   IRC = 14	   R = 1.638400E-10	   PEN = 0.0672756535648636
  -----------------------------------------------------------------------------
   IRC = 15	   R = 3.276800E-11	   PEN = 0.0672684459696181
  -----------------------------------------------------------------------------
                                                                               
三、优化结果__数据
===============================================================================
   罚函数构造次数          IRC = 16
  -----------------------------------------------------------------------------
   无约束优化方法调用次数  ITE = 16   一维搜索方法调用次数   ILI = 37
  -----------------------------------------------------------------------------
   惩罚函数值计算次数      NPE = 247   目标函数值计算次数     IFX = 0
  -----------------------------------------------------------------------------
   设计变量最优点 X*:
			X[1]= 5.247814E+00
			X[2]= 6.038252E+00
  -----------------------------------------------------------------------------
   最优值 F(X*)= 0.0672646839545321
  -----------------------------------------------------------------------------
   最优点处的不等约束函数值 G(X*):
				GX[1]= -3.865688E-05
				GX[2]= -9.209562E+00
				GX[3]= -4.752186E+00
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--- STOP ---