Model the constraint ‘Only if decision 1 is yes and decision 2 is no, then decision 3 is allowed to be yes’ as a set of linear constraints that should simultaneously be satisfied. Add binary variable(s) where needed.
2026-03-27 01:00:17.1774573217
Model the constraint ‘Only if decision 1 is yes and decision 2 is no, then decision 3 is allowed to be yes’
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Via conjunctive normal form: $$ y_3 \implies (y_1 \land \lnot y_2) \\ \lnot y_3 \lor (y_1 \land \lnot y_2) \\ (\lnot y_3 \lor y_1) \land (\lnot y_3 \lor \lnot y_2) \\ (1- y_3 + y_1 \ge 1) \land (1- y_3 + 1- y_2 \ge 1) \\ (y_3 \le y_1) \land (y_3 \le 1 - y_2) \\ $$