Does anyone know a way get the maximum constant associated to a non null variable using Mixed-Integer Linear Programing ?
I would like to get the variable $a$ in this description :
$$ i = 1,\ldots,m $$
$$ C_{i}, B : constants $$
$$ x_{i} : variables $$
$$ C_{i}, B \gt 0 $$
$$ x_{i} \in 0 \cup [B; +\infty] $$
$$ a = \max_i (C_i \text{ when } x_{i} > 0) $$
$$ a = 0 \quad \text{if there is no } x_{i} > 0 $$
Getting $a$ must not change the validity of an existing objective function.
Thanks for your help