Lingo例题2
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在数据声明中输入两个相连的逗号表示该位置对应的集成员的属性值未知。两个逗号间可以有空格
sets:
years/1..5/: capacity;
endsets
data:
capacity = ,34,20,,;
enddata
Variable Value
CAPACITY( 1) 1.234568 CAPACITY( 2) 34.00000 CAPACITY( 3) 20.00000 CAPACITY( 4) 1.234568 CAPACITY( 5) 1.234568
0000000000000000000000000000000000000000000000000000000000000 init:
X, Y = 0, .1;
endinit
Y=
@log(X);
X^2+Y^2<=1;
Feasible solution found.
Infeasibilities: 102.5814
Extended solver steps: 5
Total solver iterations: 89
Elapsed runtime seconds: 0.25
Model Class: NLP
Total variables: 2
Nonlinear variables: 2
Integer variables: 0
Total constraints: 3
Nonlinear constraints: 2
Total nonzeros: 4
Nonlinear nonzeros: 3
Variable Value
X 9.915569
Y 2.294106
Row Slack or Surplus
1 0.000000
2 -102.5814
00000000000000000000000000000000000000000000000000000000000000
model:
sets:
object/1..3/:f;
endsets
data:
a,b=3,4;
enddata
f(1)=a*@sin(x);
f(2)=b * @cos(x);
f(3)=b * @cos(x)+a*@sin(x);
mi n=@s max(f(1),f(2),f(3));
@bnd(0,x,1.57);
End
Local optimal solution found.
Objective value: 3.003184
Objective bound: 3.003184
Infeasibilities: 0.2283436E-06 Extended solver steps: 0
Total solver iterations: 11
Elapsed runtime seconds: 0.08
Model Class: MINLP
Total variables: 8
Nonlinear variables: 1
Integer variables: 3
Total constraints: 11
Nonlinear constraints: 3
Total nonzeros: 25
Nonlinear nonzeros: 3
Additional linearization components added:
Constraints: 7
Variables: 4
Integers: 3
Variable Value Reduced Cost
A 3.000000 0.000000
B 4.000000 0.000000
X 1.570000 -3.997610
F( 1) 2.999999 0.000000
F( 2) 0.3185246E-02 0.000000
F( 3) 3.003184 0.000000
Row Slack or Surplus Dual Price
1 -0.1674099E-06 0.000000
2 -0.6093364E-07 0.000000
3 -0.2283436E-06 -1.000000
4 3.003184 -1.000000
model:
data:
M=4; N=2; seed=1234567;
enddata
sets:
rows/1..M/;cols/1..N/;
table(rows,cols): x;
endsets
data:
X=@qrand(seed);
enddata
end
Feasible solution found.
Total solver iterations: 0
Elapsed runtime seconds: 0.03
Model Class: . . .
Total variables: 0
Nonlinear variables: 0
Integer variables: 0
Total constraints: 0
Nonlinear constraints: 0
Total nonzeros: 0
Nonlinear nonzeros: 0
Variable Value
M 4.000000
N 2.000000
SEED 1234567.
X( 1, 1) 0.2085788
X( 1, 2) 0.1381721
X( 2, 1) 0.6283858
X( 2, 2) 0.2530084
X( 3, 1) 0.3767461
X( 3, 2) 0.7546936
X( 4, 1) 0.9335576
X( 4, 2) 0.5737700
如果没有为函数指定种子，那么LINGO将用系统时间构造种子
@qrand(seed)产生服从(0,1)区间的拟随机数。@qrand只允许在模型的数据部分使用，它将用拟随机数填满集属性。通常，声明一个m×n的二维表，m表示运行实验的次数，n 表示每次实验所
需的随机数的个数。在行内，随机数是独立分布的；在行间，随机数是非常均匀的。这些随机数是用“分层取样”的方法产生的
返回0和1
间的伪随机数，依赖于指定的种子。典型用法是U(I+1)=@rand(U(I))
注意如果seed不变，那么产生的随机数也不变。