I want to develop a model extension of capacitated location problem.
The variables are a binary $x_i$ and a continuous $Q_i$. The following condition must be satisfied:
- if $x_i = 0$, $Q_i$ must be zero.
- if $x_i = 1$, $Q_i \geq 0$.
How do we formulate it in the integer programming formulation?
Thank you for your answer.