> Is it possible to set this constraint ?
>
> SUM (Xi * Yj) <= 1
>
> where Xi and Yj are variables in {0,1}.
Your inequality can be written as follows:
sum zk <= 1
where zk are binary variables such that zk = xi * yj (or,
equivalently, zk = xi & yj). The latter constraints are still
non-linear, however, they can be written as the following equivalent
linear constraints:
0 <= xi + yj - 2 * zk <= 1
which describe the same polytope.
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