Let X and Y be binary and continuous variables respectively, and there is the product of them in my problem, that is XY. Is there any way to linearize this product in such a way that in the linearized form the binary variable is replaced with a bounded continuous variable? asked 17 Dec '15, 08:44 AminSh 
I would suggest you to search orexchange for "linearize". I'm confident you would easily find your answer answered 17 Dec '15, 10:55 Sune It is somehow different from those which are asked in the orexchange. Actually, I want to get rid of binary variable and replace it with a continuous variable.
(17 Dec '15, 11:04)
AminSh
If that was indeed possible in the general case, I would expect someone would have suggested that in the other questions.
(17 Dec '15, 13:23)
Sune
2
If you could replace xy with a linear expression involving continuous variables, you would be changing a discontinuous function to a continuous one. I'm pretty sure that would result in the universe imploding spectacularly.
(18 Dec '15, 15:53)
Paul Rubin ♦♦
If I omit the binary variable \(X\) I receive a almost linear problem wherein I replace the binary variable product with a continous variable: \(Y = 0\) or \(Y \neq 0\). :)
(21 Dec '15, 17:53)
Slavko
