源代码给你,自己可以随时修改计算:
Parameters a1=[0,100],a2=[0,100],a3=[0,100],a4=[0,100],k1=[0,],k2=[0,],k3=[0,],k4=[0,],e1=[2,25],e2=[2,25],e3=[2,25],e4=[7,25],m1=[0,5],m2=[0,5],m3=[0,5],m4=[0,10];
Variable x1, x2, x3, y;
PassParameter d(3);
StartProgram [Pascal];
Procedure MainModel;
var j: integer;
td1, td2, td3: double;
Begin
for j := 0 to DataLength - 1 do begin
y[j]:=a1*exp(-k1*exp(-e1*x1[j])*x2[j]*x3[j]^m1)+a2*exp(-k2*exp(-e2*x1[j])*x2[j]*x3[j]^m2)+a3*exp(-k3*exp(-e3*x1[j])*x2[j]*x3[j]^m3)+a4*exp(-k4*exp(-e4*x1[j])*x2[j]*x3[j]^m4);
if j = 0 then begin
td1 := k1*exp(-e1*x1[j])*x3[j]^m1-k2*exp(-e2*x1[j])*x3[j]^m2;
td2 := k2*exp(-e2*x1[j])*x3[j]^m2-k3*exp(-e3*x1[j])*x3[j]^m3;
td3 := k3*exp(-e3*x1[j])*x3[j]^m3-k4*exp(-e4*x1[j])*x3[j]^m4;
end
else begin
td1 := min(td1,k1*exp(-e1*x1[j])*x3[j]^m1-k2*exp(-e2*x1[j])*x3[j]^m2);
td2 := min(td2,k2*exp(-e2*x1[j])*x3[j]^m2-k3*exp(-e3*x1[j])*x3[j]^m3);
td3 := min(td3,k3*exp(-e3*x1[j])*x3[j]^m3-k4*exp(-e4*x1[j])*x3[j]^m4);
end;
end;
d1 := td1;
d2 := td2;
d3 := td3;
ConstrainedResult := a1+a2+a3+a4-100=0;
ConstrainedResult := e2-e1>0;
ConstrainedResult := e3-e2>0;
ConstrainedResult := e4-e3>0;
ConstrainedResult := m1-m2>0;
ConstrainedResult := m2-m3>0;
ConstrainedResult := m3-m4>0;
ConstrainedResult := td1>0;
ConstrainedResult := td2>0;
ConstrainedResult := td3>0;
End;
EndProgram;
Data;
1.841945596 10000000 4000000 2.104558482
1.841945596 6666666.667 4000000 2.527143784
1.841945596 5000000 4000000 3.451810632
1.841945596 4000000 4000000 3.964651068
。。。。。
一组结果:
均方差(RMSE): 2.45792879014108
残差平方和(RSS): 428.940389555711
相关系数(R): 0.98621286582406
相关系数之平方(R^2): 0.972615816716906
决定系数(DC): 0.972614437652802
F统计(F-Statistic): 133.890501139987
参数 最佳估算
-------------------- -------------
a1 11.9706582844648
a2 28.8527637739238
a3 53.4020879796602
a4 5.77177237444129
k1 1.34505230126704
k2 56.8870538091767
k3 6.51913444850881E-12
k4 16.5798208181613
e1 3.5871897664056
e2 3.77098743335754
e3 4.19805090699037
e4 21.0165827940815
m1 4.388965042526
m2 2.27599478723315
m3 1.73196980293668
m4 1.3400953092144
[ 本帖最后由 dingd 于 2009-12-20 23:11 编辑 ] |