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  2. Constrained optimization - Wikipedia

    en.wikipedia.org/wiki/Constrained_optimization

    One way for evaluating this upper bound for a partial solution is to consider each soft constraint separately. For each soft constraint, the maximal possible value for any assignment to the unassigned variables is assumed. The sum of these values is an upper bound because the soft constraints cannot assume a higher value.

  3. Constraint (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Constraint_(mathematics)

    The second and third lines define two constraints, the first of which is an inequality constraint and the second of which is an equality constraint. These two constraints are hard constraints, meaning that it is required that they be satisfied; they define the feasible set of candidate solutions. Without the constraints, the solution would be ...

  4. Constraint inference - Wikipedia

    en.wikipedia.org/wiki/Constraint_inference

    Constraint composition operates on a pair of binary constraints ((,),) and ((,),) with a common variable. The composition of such two constraints is the constraint ((,),) that is satisfied by every evaluation of the two non-shared variables for which there exists a value of the shared variable such that the evaluation of these three variables ...

  5. Local consistency - Wikipedia

    en.wikipedia.org/wiki/Local_consistency

    Arc consistency can also be defined relative to a specific binary constraint: a binary constraint is arc consistent if every value of one variable has a value of the second variable such that they satisfy the constraint. This definition of arc consistency is similar to the above, but is given specific to a constraint. This difference is ...

  6. Constraint logic programming - Wikipedia

    en.wikipedia.org/wiki/Constraint_logic_programming

    This set may include constraints such as = that force variables to a specific value, but may also include constraints like > that only bound variables without giving them a specific value. Formally, the semantics of constraint logic programming is defined in terms of derivations .

  7. Constraint programming - Wikipedia

    en.wikipedia.org/wiki/Constraint_programming

    The constraints S#\=0 and M#\=0 means that these two variables cannot take the value zero. When the interpreter evaluates these constraints, it reduces the domains of these two variables by removing the value 0 from them. Then, the constraint all_different(Digits) is considered; it does not reduce any domain, so it is simply stored. The last ...

  8. Constraint satisfaction - Wikipedia

    en.wikipedia.org/wiki/Constraint_satisfaction

    In artificial intelligence and operations research, constraint satisfaction is the process of finding a solution through a set of constraints that impose conditions that the variables must satisfy. [1] A solution is therefore an assignment of values to the variables that satisfies all constraints—that is, a point in the feasible region.

  9. 2-satisfiability - Wikipedia

    en.wikipedia.org/wiki/2-satisfiability

    In this problem, each variable corresponds to an hour that teacher must spend with cohort , the assignment to the variable specifies whether that hour is the first or the second of the teacher's available hours, and there is a 2-satisfiability clause preventing any conflict of either of two types: two cohorts assigned to a teacher at the same ...