For ILOG CPLEX, a logical constraint combines linear constraints by means of logical operators, such as logical-and, logical-or, negation (that is, not), conditional statements (that is, if ... then ...) to express complex relations between linear constraints. ILOG CPLEX can also handle certain logical expressions appearing within a linear constraint. One such logical expression is the minimum of a set of variables. Another such logical expression is the absolute value of a variable. There's more about logical expressions in Which Nonlinear Expressions Can Be Extracted?.
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