Logical implication Ind =≥ LinCon. The linear constraint LinCon is enforced when the indicator Ind is 1, and violation of LinCon forces the indicator Ind to 0.
Ind can be a variable, or a subscript expression resulting in a variable. It can also be negated using the neg/1 prefix operator. Correspondingly, LinCon is either enforced by the binary being 0 or 1.
LinCon is any linear constraint accepted by eplex, i.e. an equality or inequality constraint over linear expressions.
This constraint does not implicitly impose bounds or a type on the binary variable in Ind. It will usually make sense to separately impose bounds of 0..1 and invoke integers/1.
Indicator constraints are not supported by every external solver. Use lp_get(has_indicator_constraints,yes) to check availability.
B => ( X1 $>= X2+8 )
neg B => ( X1+5 $=< X2 )
B[12] => ( sum(Costs) $= 42 )