#mathematical-optimization #cplex #opl
Вопрос:
Я запускаю свою модель в CPLEX, используя программирование ограничений, моя модель работала с 8 рабочими. Но через 3 часа у него все еще нет решения, поэтому я должен остановить модель.
Что-то не так с моей моделью? Я попытался запустить модель только с несколькими образцами в файле Excel, но она все равно не дала мне решения после нескольких часов работы. Заранее большое вам спасибо!
Мой мод. файл:
using CP;
int scale=10;
int NumbDay =...;
int NumbTask =...;
range Day = 1 .. NumbDay;
range Task = 1 .. NumbTask;
int maxRepetition = NumbDay;
dvar int F [Task] in 1..maxRepetition;
range Repetition = 0 .. maxRepetition;
int h [Day]=...;
int R [Task]=...;
int c [Day]=...;
int E [Task]=...;
int d [Day]=...;
int O [Task]=...;
int P [Task] =...;
float t [Task]=...;
dvar int r [i in Task][j in Repetition];
dvar int e [i in Task][j in Repetition];
dvar int o [i in Task][j in Repetition];
dvar int n [i in Task][j in Repetition];
dvar int scalenW[Day] in 0..100;
dexpr float W [k in Day]=scalenW[k]/scale;
dvar boolean X [Day][Task][Repetition];
dexpr float e1 = sum(k in Day)(((sum(k in Day, i in Task, j in Repetition) t [i]*X[k][i][j])/365) - W [k])^2;
dexpr float e2 = sum(i in Task, j in Repetition) n [i][j];
minimize staticLex(e1, e2);
subject to
{
constraint_1:
forall (i in Task){
F [i] >= P [i];
}
constraint_2:
forall (k in Day){
sum(i in Task) (sum(j in Repetition)(t [i]*X [k][i][j]*(j<=F[i]-1))) == W [k];
}
constraint_3:
forall (i in Task, j in Repetition){
sum(k in Day) X [k][i][j] == 1 * (j<=F[i]-1);
}
constraint_4:
forall (k in Day, i in Task, j in Repetition){
X [k][i][j] == 0 || X [k][i][j] == 1;
}
constraint_5:
forall (i in Task, j in Repetition){
(r[i][j]!=0) => sum(k in Day)(X [k][i][j] * h [k]) <= r [i][j];
}
constraint_6:
forall (i in Task, j in Repetition){
r [i][j] <= 10 * NumbDay;
}
constraint_7:
forall (i in Task){
r [i][0] == R [i];
}
constraint_8:
forall (i in Task, j in 1..NumbDay){
r [i][j] == (R [i] sum(k in Day) (X [k][i][j-1] * h [k])) * (j<=F[i]-1);
}
constraint_9:
forall (i in Task, j in Repetition){
(e[i][j]!=0) => sum(k in Day)(X [k][i][j] * c [k]) <= e [i][j];
}
constraint_10:
forall (i in Task, j in Repetition){
n [i][j] == e [i][j] - sum(k in Day)( X [k][i][j] * c [k]);
}
constraint_11:
forall (i in Task, j in Repetition){
e [i][j] <= 10 * NumbDay;
}
constraint_12:
forall (i in Task){
e [i][0] == E [i];
}
constraint_13:
forall (i in Task, j in 1..NumbDay){
e [i][j] == (E [i] sum(k in Day) (X [k][i][j-1] * c [k])) * (j<=F[i]-1);
}
constraint_14:
forall (i in Task, j in Repetition){
(o[i][j]!=0) => sum(k in Day)(X [k][i][j] * d [k]) <= o [i][j];
}
constraint_15:
forall (i in Task, j in Repetition){
o [i][j] <= 10 * NumbDay;
}
constraint_16:
forall (i in Task){
o [i][0] == O [i];
}
constraint_17:
forall (i in Task, j in 1..NumbDay){
o [i][j] == (O [i] sum(k in Day) (X [k][i][j-1] * d [k])) * (j<=F[i]-1);
}
}
Моя подруга. файл:
SheetConnection ModelData("ModelData.xlsx");
NumbDay from SheetRead(ModelData,"1mosize!B1");
NumbTask from SheetRead(ModelData,"1mosize!B2");
h from SheetRead(ModelData,"1mo1D2!B2:B31");
R from SheetRead(ModelData,"1mo1D1!B2:B20");
c from SheetRead(ModelData,"1mo1D2!C2:C31");
E from SheetRead(ModelData,"1mo1D1!C2:C20");
d from SheetRead(ModelData,"1mo1D2!D2:D31");
O from SheetRead(ModelData,"1mo1D1!D2:D20");
t from SheetRead(ModelData,"1mo1D1!E2:E20");
P from SheetRead(ModelData,"1mo1D1!I2:I20");
Ответ №1:
Если вы превратите масштаб в
int scale=1000;
И
// constraint_2:
// forall (k in Day){
// sum(i in Task) (sum(j in Repetition)(t [i]*X [k][i][j]*(j<=F[i]-1))) == W [k];
// }
в
constraint_2:
forall (k in Day){
abs(sum(i in Task) (sum(j in Repetition)(t [i]*X [k][i][j]*(j<=F[i]-1))) - W [k])<=1;
}
вы получите решения