In an assignment problem, I uses a binary variable with value of 1 if the process is ON in time slot t. I need to know the starting slot of the process. This is when the binary variable turns to ONE for the first time. In an MILP model, how to do that?
Thanks in advance..
Using Mathematica built-in function Position it is possible to have as output all the index position of the digit 1 in a binary list as L = (0,0,1,0,1,0) (the list can have a very huge length); so in this case Position[ L, 1] gives as output (3, 5); the fist occurence (starting slot in your example) is First[ Position[ L, 1] ], which gives output = 3. Gianluca
Dear Zakaria, you may use integer to store vector of boolean variables in the programm. Instead any variable represented by 0 and 1s in the memory, and integer may store 32 binary values. To get these binary values you should simply implement following loop.
While x>0
If x mod 2 equal to 1...
X = x/2
For instance, you have unsigned integer variable x that is equal to 5. It means that x represented as 00..00101 in the memory. The result of x mod 2 gives value of the last bit. Then we can divide x by 2. This shifts x to the right for 1 position.
Thanks Dmytro for the complete answer.. I am going to try it.. Thanks