LINGO编程语法模板
LINGO编程：MODEL:
SETS:
counti/1..4/: ;
countj/1..6/: ;
countl/1..4/: ;
countk/1..6/: ;
countij(counti,countj): delta,p,q,A,B,d1,d2;
ENDSETS
max = n1*@sum(countij(i,j):A(i,j)*delta(i,j)) + n2*@sum(countij(i,j):B(i,j)*delta(i,j));
@for(counti(i):@sum(countj(j):delta(i,j)) = 1);
@for(countj(j):@sum(counti(i):delta(i,j)) <=1);
@for(counti(i): @for(countj(j): d1(i,j) = @sum( countk(k): @if(p(i,k) #lt# p(i,j),delta(i,k),0 ) )));
@for(countj(j): @for(counti(i): d2(i,j) = @sum( countl(l): @if(q(l,j) #lt# q(i,j),delta(l,j),0 ) )));
@for(countij(i,j): delta(i,j) + d1(i,j) + d2(i,j) >= 1);
@for(countij(i,j):@bin(delta(i,j)));
DATA:
n1 = 0.4;
n2 = 0.6;
p= 5 1 3 6 2 4
1 3 2 6 4 5
4 1 3 2 6 5
2 3 5 1 6 4;
q= 4 2 2 1 4 3
2 3 1 4 2 2
1 1 3 3 3 4
3 4 4 2 1 1;
A= 0.2 1 0.33 0.17 0.5 0.25
1 0.33 0.5 0.17 0.25 0.2
0.25 1 0.33 0.5 0.17 0.2
0.5 0.33 0.2 1 0.17 0.25;
B= 0.25 0.5 0.5 1 0.25 0.33
0.5 0.33 1 0.25 0.5 0.5
1 1 0.33 0.33 0.33 0.25
0.33 0.25 0.25 0.5 1 1;
ENDDATA
END
MODEL:
SETS:
counti/1..6/: Ei;
countj/1..4/: fj,Zj,vj,Uj,Cj,Wj,Gj;
countk/1..9/: Dk;
countl/1..2/: Sl, ql ;
countij(counti,countj): dij;
countjk(countj,countk): djk;
countijl(counti,countj,countl): Xijl;
countjkl(countj,countk,countl): Yjkl;
ENDSETS
min = @sum(countj(j):fj(j)*Zj(j)) + @sum(counti(i):@sum(countj(j):@sum(countl(l):Sl(l)*Xijl(i,j,l)*dij(i,j))))
+@sum(countj(j):@sum(countk(k):@sum(countl(l):Sl(l)*Yjkl(j,k,l)*djk(j,k)))) +@sum(countj(j):vj(j)*Uj(j)) +
t*( @sum(counti(i):@sum(countj(j):@sum(countl(l):ql(l)*Xijl(i,j,l)*dij(i,j)))) +
@sum(countj(j):@sum(countk(k):@sum(countl(l):ql(l)*Yjkl(j,k,l)*djk(j,k)))) + @sum(countj(j):(1-r*Wj(j))*Gj(j)*Uj(j)) );
@sum(countijl(i,j,l):Xijl(i,j,l) ) = @sum(countk(k): Dk(k));
@sum(countjkl(j,k,l):Yjkl(j,k,l) ) = @sum(countk(k): Dk(k));
@for(countk(k): @sum(countj(j): @sum(countl(l): Yjkl(j,k,l) )) = Dk(k) );
@for(countj(j): @sum(counti(i):@sum(countl(l): Xijl(i,j,l) )) = Uj(j));
@for(countj(j): @sum(countk(k):@sum(countl(l): Yjkl(j,k,l) )) = Uj(j));
@for(countj(j): Uj(j)<=Cj(j));
@for(counti(i): @sum(countj(j):@sum(countl(l): Xijl(i,j,l))) <= Ei(i) );
@sum(countj(j): Zj(j))<=m;
@sum(countj(j): Wj(j))=e;
@for(countj(j): Wj(j) <= Zj(j) );
@for(countj(j): @bin(Wj(j)));
@for(countj(j): @bin(Zj(j)));
DATA:
dij = 110 235 280 340
230 97 201 100
311 101 132 99
270 211 97 132
122 146 332 275
204 360 474 452;
djk = 44 15 24 544 15 20 45 455 18
22 30 50 367 18 38 211 345 21
18 40 20 260 30 49 280 200 15
14 42 11 266 30 47 320 319 21;
Cj = 30000 20000 15000 10000;
Ei = 1500 2200 2000 3300 5200 8000;
Dk = 1500 1050 2770 580 770 960 1700 7200 2270;
fj = 40000 30000 20000 10000;
Sl = 0.85 0.78;
ql = 0.048 0.078;
Gj = 2.37000000000000 3.01000000000000 2.64000000000000 3;
vj = 12 14 13 12;
t = 0.05;
r = 0.25;
e = 2;
m = 4;
ENDDATA
END
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