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MODEL:
SETS:
Transportation/1 2/:QI;
Express/1 2/:XJ;
Market/1 2 3/:w;
od(Market,Market)/1,2 1,3 1,4 2,1 2,3 2,4 3,1 3,2 3,4 4,1 4,2 4,3/:p,d;!;
xjrs(express,od)/1,1,2 1,1,3 1,1,4 1,2,1 1,2,3 1,2,4 1,3,1 1,3,2 1,3,4 1,4,1 1,4,2 1,4,3 2,1,2 2,1,3 2,1,4 2,2,1 2,2,3 2,2,4 2,3,1 2,3,2 2,3,4 2,4,1 2,4,2 2,4,3/:x;
e(transportation,market,market)/1,1,2 1,1,3 1,2,1 1,2,3 1,2,4 1,3,1 1,3,2 1,3,4 1,4,2 1,4,3 2,1,2 2,1,3 2,2,1 2,2,3 2,3,1 2,3,2 2,3,4 2,4,3/:Q;
rjuv(express,market,market))/1,1,2 1,1,3 1,2,1 1,2,3 1,2,4 1,3,1 1,3,2 1,3,4 1,4,2 1,4,3 2,1,2 2,1,3 2,2,1 2,2,3 2,3,1 2,3,2 2,3,4 2,4,3/:r,v;
qijuv(transportation,express,market,market)/1,1,1,2 1,1,1,3 1,1,2,1 1,1,2,3 1,1,2,4 1,1,3,1 1,1,3,2 1,1,3,4 1,1,4,2 1,1,4,3
1,2,1,2 1,2,1,3 1,2,2,1 1,2,2,3 1,2,2,4 1,2,3,1 1,2,3,2 1,2,3,4 1,2,4,2 1,2,4,3
2,1,1,2 2,1,1,3 2,1,2,1 2,1,2,3 2,1,3,1 2,1,3,2 2,1,3,4 2,1,4,3
2,2,1,2 2,2,1,3 2,2,2,1 2,2,2,3 2,2,3,1 2,2,3,2 2,2,3,4 2,2,4,3/:q;
ENDSETS
MIN=0;!Ä¿±êº¯Êý;
!Ô¼ÊøÌõ¼þ1;
@FOR(qijuv(1,j,u,v):-0.07*Q(1,u,v)-0.01*Q(2,u,v)-0.001-0.01*(@sum(e(1,u,v)Q(1,u,v))+r(j,u,v)<0);
@FOR(qijuv(2,j,u,v):-0.07*Q(2,u,v)-0.01*Q(1,u,v)-0.001-0.01*(@sum(e(2,u,v)Q(2,u,v))+r(j,u,v)<0);
!Ô¼ÊøÌõ¼þ2;
v(1,1,2)=0.04*(x(1,1,2)+x(1,1,3)+x(1,1,4))+0.06*(x(1,1,2)+x(1,3,2)+x(1,4,2));
v(1,1,3)=0.04*(x(1,1,2)+x(1,1,3)+x(1,1,4))+0.04*(x(1,1,3)+x(1,2,3)+x(1,4,3)+x(1,1,4)+x(1,4,1));
v(1,2,1)=0.06*(x(1,2,1)+x(1,2,3)+x(1,2,4))+0.04*(x(1,2,1)+x(1,3,1)+x(1,4,1));
v(1,2,3)=0.06*(x(1,2,1)+x(1,2,3)+x(1,2,4))+0.04*(x(1,1,3)+x(1,2,3)+x(1,4,3)+x(1,1,4)+x(1,4,1));
v(1,2,4)=0.06*(x(1,2,1)+x(1,2,3)+x(1,2,4))+0.04*(x(1,1,4)+x(1,2,4)+x(1,3,4));  
v(1,3,1)=0.04*(x(1,3,1)+x(1,3,2)+x(1,3,4)+x(1,1,4)+x(1,4,1))+0.04*(x(1,2,1)+x(1,3,1)+x(1,4,1));
v(1,3,2)=0.04*(x(1,3,1)+x(1,3,2)+x(1,3,4)+x(1,1,4)+x(1,4,1))+0.06*(x(1,1,2)+x(1,3,2)+x(1,4,2));
v(1,3,4)=0.04*(x(1,3,1)+x(1,3,2)+x(1,3,4)+x(1,1,4)+x(1,4,1))+0.04*(x(1,1,4)+x(1,2,4)+x(1,3,4));
v(1,4,2)=0.04*(x(1,4,1)+x(1,4,2)+x(1,4,3))+0.06*(x(1,1,2)+x(1,3,2)+x(1,4,2));
v(1,4,3)=0.04*(x(1,4,1)+x(1,4,2)+x(1,4,3))+0.04*(x(1,1,3)+x(1,2,3)+x(1,4,3)+x(1,1,4)+x(1,4,1));
v(2,1,2)=0.04*(x(2,1,2)+x(2,1,3)+x(2,1,4))+0.06*(x(2,1,2)+x(2,3,2));
v(2,1,3)=0.04*(x(2,1,2)+x(2,1,3)+x(2,1,4))+0.04*(x(2,1,3)+x(2,2,3)+x(2,4,3)+x(2,1,4)+x(2,4,1)+x(2,2,4)+x(2,4,2));
v(2,2,1)=0.06*(x(2,2,1)+x(2,2,3)+x(2,2,4))+0.04*(x(2,2,1)+x(2,3,1)+x(2,4,1));
v(2,2,3)=0.06*(x(2,2,1)+x(2,2,3)+x(2,2,4))+0.04*(x(2,1,3)+x(2,2,3)+x(2,4,3)+x(2,1,4)+x(2,4,1)+x(2,2,4)+x(2,4,2));
v(2,3,1)=0.04*(x(2,3,1)+x(2,3,2)+x(2,3,4)+x(2,1,4)+x(2,4,1)+x(2,2,4)+x(2,4,2))+0.04*(x(2,2,1)+x(2,3,1)+x(2,4,1));
v(2,3,2)=0.04*(x(2,3,1)+x(2,3,2)+x(2,3,4)+x(2,1,4)+x(2,4,1)+x(2,2,4)+x(2,4,2))+0.06*(x(2,1,2)+x(2,3,2)+x(2,4,2));
v(2,3,4)=0.04*(x(2,3,1)+x(2,3,2)+x(2,3,4)+x(2,1,4)+x(2,4,1)+x(2,2,4)+x(2,4,2))+0.04*(x(2,1,4)+x(2,2,4)+x(2,3,4));
v(2,4,3)=0.04*(x(2,4,1)+x(2,4,2)+x(2,4,3))+0.04*(x(2,1,3)+x(2,2,3)+x(2,4,3)+x(2,1,4)+x(2,4,1)+x(2,2,4)+x(2,4,2));
@FOR(xjrs(j,r,s):s(j,r,s)=0.5*x(j,r,s));
@FOR(xjrs(j,r,s)|xjrs(i,r,s)#NE#(1,1,4) #AND# xjrs(i,r,s)#NE#(1,4,1) #AND# xjrs(i,r,s)#NE#(2,1,4) #AND# xjrs(i,r,s)#NE#(2,4,1) #AND# xjrs(i,r,s)#NE#(2,2,4) #AND# xjrs(i,r,s)#NE#(2,4,2):-v(j,r,s)-w(r)*r(j,r,s)-s(j,r,s)+p(r,s)<0
-v(1,1,3)-v(1,3,4)-w(1)*(r(1,1,3)+r(1,3,4))-s(1,1,4)+p(1,4)<0;
-v(1,3,1)-v(1,4,3)-w(4)*(r(1,3,1)+r(1,4,3))-s(1,4,1)+p(4,1)<0;
-v(2,1,3)-v(2,3,4)-w(1)*(r(2,1,3)+r(2,3,4))-s(2,1,4)+p(1,4)<0;
-v(2,3,1)-v(2,4,3)-w(4)*(r(2,3,1)+r(2,4,3))-s(2,4,1)+p(4,1)<0;
-v(2,2,3)-v(2,3,4)-w(2)*(r(2,2,3)+r(2,3,4))-s(2,2,4)+p(2,4)<0;
-v(2,3,2)-v(2,4,3)-w(4)*(r(2,3,2)+r(2,4,3))-s(2,4,2)+p(4,2)<0;
!Ô¼ÊøÌõ¼þ3;
@FOR(rjuv(j,u,v)|rjuv)#NE#(1,1,3) #AND# rjuv#NE#(1,3,1) #AND# rjuv#NE#(1,3,4) #AND# rjuv#NE#(1,4,3) #AND# rjuv#NE#(2,1,3) #AND# rjuv#NE#(2,3,1) #AND# rjuv#NE#(2,2,3)#AND# rjuv#NE#(2,3,2)#AND# rjuv#NE#(2,3,4)#AND# rjuv#NE#(2,4,3):-w(u)*x(j,u,v)+@sum(transportation(i):q(i,j,u,v))<0;
-w(1)*(x(1,1,3)+x(1,1,4))+@sum(transportation(i):q(i,1,1,3))<0;!ar1(1,3);
-w(3)*x(1,3,1)-w(4)*x(1,4,1)+@sum(transportation(i):q(i,1,3,1))<0;!ar1(3,1);
-w(3)*x(1,3,4)-w(1)*x(1,1,4)+@sum(transportation(i):q(i,1,3,4))<0;!ar1(3,4);
-w(4)*(x(1,4,3)+x(1,4,1))+@sum(transportation(i)q(i,1,4,3))<0;! ar1(4,3);
-w(1)*(x(2,1,3)+x(2,1,4))+@sum(transportation(i)q(i,2,1,3))<0;!ar2(1,3);
-w(3)*(x(2,3,1)-w(4)*x(2,4,1))+@sum(transportation(i)q(i,2,3,1))<0;! ar2(3,1);
-w(2)*(x(2,2,3)+x(2,2,4))+@sum(transportation(i)q(i,2,2,3))<0;!ar2(2,3);
-w(3)*x(2,3,1)-w(4)*x(2,4,2)+@sum(transportation(i)q(i,2,3,2))<0; ! ar2(3,2);
-w(3)*x(2,3,4)-w(1)*x(2,1,4)+w(2)*x(2,2,4)+@sum(transportation(i)q(i,2,3,4))<0;!ar2(3,4);
-w(4)*(x(2,4,3)+x(2,4,1)+x(2,4,2))+@sum(transportation(i):q(i,2,4,3))<0;! ar2(4,3);
@FOR(od(r,s):@sum(Express(j):-x(j,r,s))+(-5*p(r,s)-2*p(s,r)-0.05*(@sum(od(r,s):p(r,s))-p(r,s)-p(s,r)))+100)<0);
@FOR(xjrs:@GIN(x)>0);

end
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