I was hoping to get some help in modelling the following logic as an MIP Constraint

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c_{m,l}^{RC} is binary decision variable. Simplify it:

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1 Answer 1


You want to model $y=1 \iff x > 0$. The following big-M constraints enforce that relationship, where $\epsilon>0$ is a small tolerance: $$\epsilon y \le x \le M y$$

Because your $x$ is integer, you can take $\epsilon = 1$.

  • $\begingroup$ Thank you @RobPratt $\endgroup$
    – xuezheng
    Commented Sep 3, 2020 at 2:23

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