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$OFFSYMXREF
$OFFSYMLIST

option limrow=0;
option limcol=0;
option solprint=on;
option sysout=off;

option LP=CPLEX;
option MIP=CPLEX;
option NLP=CONOPT;
option MINLP=DICOPT;
option OPTCR=0;

$TITLE VMI
$ONTEXT
EJEMPLO VMI
$OFFTEXT
SETS
j periodos /a1*a5/
i compradores /b1*b10/;

VARIABLE F1;
Variable x(i,j);
TABLE d1(i,j) por periodos
        a1      a2      a3      a4      a5 
b1      20      19      18      21      18
b2      .003    .005    .008    .003    .006
b3      7       7       7       7       7
b4      .004    .006    .008    .005    .007
b5      9       9       9       9       9
b6      7       8       9       7       9
b7      12      10      11      11      12
b8      15      15      15      15      15;

EQUATIONS funobj, rest1, rest2,rest4;
funobj.. F1 =E= {(d1(i,j)*(x(i,j))-(d1(i,j))*sqrt((x(i,j)))-(d1(i,j)*(x(i,j)))-0.5*d1(i,j)*sqrt((x(i,j)))-(2*sqrt((d1(i,j)+d1(i,j))*(d1(i,j)+d1(i,j))*(x(i,j))))};
rest1..  x(i,j)=G=250;
rest2..  x(i,j)=L=4000;
rest4..  (d1("b",j))=L=14476;

model problema1 /al/;
solve problema1 using LP maximizing F1;