s01.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 = 2
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   不等式约束个数  KG = 3       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
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   初始步长        T0 = 0.01       收敛精度         EPS = 1E-5
  -----------------------------------------------------------------------------
   无约束优化方法: DFP法
  -----------------------------------------------------------------------------
   设计变量初始点 X0:
			X[1]=0
			X[2]=0
  -----------------------------------------------------------------------------
   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)= -12
  -----------------------------------------------------------------------------
   初始点处的不等约束函数值 G(X0):
				GX[1]= -2.500000E+01
				GX[2]= 0.000000E+00
				GX[3]= 0.000000E+00
###############################################################################
  初始点不可行！
  -----------------------------------------------------------------------------
  不可行的初始点：
  -----------------------------------------------------------------------------
			X[1]=0
			X[2]=0
  -----------------------------------------------------------------------------
   初始点处的不等约束函数值 G(X*):
				GX[1]= -2.500000E+01
				GX[2]= 0.000000E+00
				GX[3]= 0.000000E+00
  -----------------------------------------------------------------------------
  找到可行的初始点！
  -----------------------------------------------------------------------------
  可行的初始点：
  -----------------------------------------------------------------------------
			X[1]=0.00348092973581515
			X[2]=0.0174046486790758
  -----------------------------------------------------------------------------
   初始点处的不等约束函数值 G(X*):
				GX[1]= -2.499968E+01
				GX[2]= -3.480930E-03
				GX[3]= -1.740465E-02
###############################################################################
 
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二、计算过程__数据
===============================================================================
   IRC = 0	   R = 3.476575E-02	   PEN = 9.8879238130678E-16
  -----------------------------------------------------------------------------
   IRC = 1	   R = 6.953151E-03	   PEN = -35.1707035153274
  -----------------------------------------------------------------------------
   IRC = 2	   R = 1.390630E-03	   PEN = -36.4407372827293
  -----------------------------------------------------------------------------
   IRC = 3	   R = 2.781260E-04	   PEN = -36.772723447411
  -----------------------------------------------------------------------------
   IRC = 4	   R = 5.562520E-05	   PEN = -36.8977838963996
  -----------------------------------------------------------------------------
   IRC = 5	   R = 1.112504E-05	   PEN = -36.9551150110785
  -----------------------------------------------------------------------------
   IRC = 6	   R = 2.225008E-06	   PEN = -36.9798647051854
  -----------------------------------------------------------------------------
   IRC = 7	   R = 4.450016E-07	   PEN = -36.9909249444602
  -----------------------------------------------------------------------------
   IRC = 8	   R = 8.900033E-08	   PEN = -36.9958272786444
  -----------------------------------------------------------------------------
   IRC = 9	   R = 1.780007E-08	   PEN = -36.9981878736729
  -----------------------------------------------------------------------------
                                                                               
三、优化结果__数据
===============================================================================
   罚函数构造次数          IRC = 10
  -----------------------------------------------------------------------------
   无约束优化方法调用次数  ITE = 43   一维搜索方法调用次数   ILI = 43
  -----------------------------------------------------------------------------
   惩罚函数值计算次数      NPE = 211   目标函数值计算次数     IFX = 0
  -----------------------------------------------------------------------------
   设计变量最优点 X*:
			X[1]= 1.628413E-04
			X[2]= 4.999987E+00
  -----------------------------------------------------------------------------
   最优值 F(X*)= -36.9991160898169
  -----------------------------------------------------------------------------
   最优点处的不等约束函数值 G(X*):
				GX[1]= -2.325186E-04
				GX[2]= -1.628413E-04
				GX[3]= -4.999977E+00
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--- STOP ---