Originally posted by: Sultan_Niz7755

Hello, everybody,
I'm now working on the topic of improving patient planning in the OR using linear programming. I have implemented my model in Cplex. There is a pair of logical constraints that must be written as integer constraints. Unfortunately it was not possible to reformulate them. Can someone help me, please?
the logical constraints I mentioned can be seen below.
many thanks in advance

Originally posted by: Sultan_Niz7755

Hi,

can t you try to write

y<=sum(i in I) x[i];

?

Then if the sum is 0 then y==0

regards

Originally posted by: Sultan_Niz7755

Hi Alex,

thank you for your reply. the constraint that you wrote corresponds to the logical constraint  "(sum(p in P) X[p][r][s][d] == 0) => Y[r][s][d] == 0;".

how can I reformulate this one(see attachment)?

thank you in advance,

regards,

Sherzod