optimizationmodelcplexilog

how to compute a dexpr algorithmically in ILOG CPLEX


I am still a begginer on IBM ILOG CPLEX Optimisation Studio.

I'm doing the modelisation of an hospital.

I have some decision variable that correspond to :

dvar alpha[Operations][Rooms] in 0..1;

alpha[o][r] is equal to 1 if the operation o is done in the room r.

I also have a lot of other decision variable that correspond to : in which order does the surgeon does his operations, what equipement does he use for that operation, ...

with all of that, i have enough information to compute the starting time of each operation and i want to have a deduction variable that correspond to the time at which each operation start.

This "time[Operations]" variable, has to be computed in a specific order (you have to compute the starting time of the first operation of a room before being able to compute the second one).

the formula that compute the time is way to complex to be written in one line of a dexpr and i don't know to make an "execute" bloc having to call itself each time it generate new values.


Solution

  • You could use logical constraints

    range Operations=0..2;
    range Rooms=1..4;
    
    dvar int alpha[Operations][Rooms] in 0..1;
    dvar int time[Operations];
    
    subject to
    {
      forall(r in Rooms, ordered o1,o2 in Operations) 
       ((alpha[o1][r]==1) && (alpha[o2][r]==1)) => time[o1]+10<=time[o2];
    }
    

    But you could also have a look at scheduling within CPLEX . Then you would use intervals and maybe the model could work much better