CPLEX: оптимизатору CP потребовалась вечность, чтобы запустить решение с 0

#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");
 

Мой файл данных Excel

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