I would like to linearize the constraint $y_i \cdot q_i \leq y_i \cdot a$ where $a$ is constant, $y_i$ is a binary variable and $q_i$ is a continuous non negative variable.
Thanks !
2026-03-27 04:15:15.1774584915
How to linearize this difficult constraint with binary variables?
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Effectively $y_i$ implies $q_i \leq a$, which is $q_i \leq a \cdot y_i + M(1-y_i)$ where $M$ is your favorite sufficiently-large small-M constant (i.e, what normally but dangerously is called a big-M constant).