s05.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
  -----------------------------------------------------------------------------
   不等式约束个数  KG = 2       等式约束个数      KH = 0
  -----------------------------------------------------------------------------
   惩罚因子         R = 1       惩罚因子降低系数   C = 0.1
  -----------------------------------------------------------------------------
   初始步长        T0 = 0.01       收敛精度         EPS = 1E-6
  -----------------------------------------------------------------------------
   无约束优化方法: POWELL法
  -----------------------------------------------------------------------------
   设计变量初始点 X0:
			X[1]=-2
			X[2]=2
  -----------------------------------------------------------------------------
   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)= 6
  -----------------------------------------------------------------------------
   初始点处的不等约束函数值 G(X0):
				GX[1]= -1.000000E+00
				GX[2]= -1.000000E+00
-------------------------------------------------------------------------------
                                                              
二、计算过程__数据
===============================================================================
   IRC = 0	   R = 1.000000E+00	   PEN = 8
  -----------------------------------------------------------------------------
   IRC = 1	   R = 1.000000E-01	   PEN = 1.09887347285416
  -----------------------------------------------------------------------------
   IRC = 2	   R = 1.000000E-02	   PEN = -2.71252735212364
  -----------------------------------------------------------------------------
   IRC = 3	   R = 1.000000E-03	   PEN = -2.91466628591297
  -----------------------------------------------------------------------------
   IRC = 4	   R = 1.000000E-04	   PEN = -2.97269170819952
  -----------------------------------------------------------------------------
   IRC = 5	   R = 1.000000E-05	   PEN = -2.99058709754178
  -----------------------------------------------------------------------------
   IRC = 6	   R = 1.000000E-06	   PEN = -2.99594740455481
  -----------------------------------------------------------------------------
   IRC = 7	   R = 1.000000E-07	   PEN = -2.99748792820372
  -----------------------------------------------------------------------------
   IRC = 8	   R = 1.000000E-08	   PEN = -2.99971339995082
  -----------------------------------------------------------------------------
   IRC = 9	   R = 1.000000E-09	   PEN = -2.99991692201614
  -----------------------------------------------------------------------------
   IRC = 10	   R = 1.000000E-10	   PEN = -2.99997342108998
  -----------------------------------------------------------------------------
   IRC = 11	   R = 1.000000E-11	   PEN = -2.99998821908243
  -----------------------------------------------------------------------------
   IRC = 12	   R = 1.000000E-12	   PEN = -2.99999513745628
  -----------------------------------------------------------------------------
   IRC = 13	   R = 1.000000E-13	   PEN = -2.9999991796786
  -----------------------------------------------------------------------------
                                                                               
三、优化结果__数据
===============================================================================
   罚函数构造次数          IRC = 14
  -----------------------------------------------------------------------------
   无约束优化方法调用次数  ITE = 14   一维搜索方法调用次数   ILI = 30
  -----------------------------------------------------------------------------
   惩罚函数值计算次数      NPE = 173   目标函数值计算次数     IFX = 0
  -----------------------------------------------------------------------------
   设计变量最优点 X*:
			X[1]= -4.723998E-06
			X[2]= -3.000000E+00
  -----------------------------------------------------------------------------
   最优值 F(X*)= -2.99999993407945
  -----------------------------------------------------------------------------
   最优点处的不等约束函数值 G(X*):
				GX[1]= -3.953671E-07
				GX[2]= -4.000005E+00
-------------------------------------------------------------------------------
--- STOP ---