Constraints
Constraints represent logical restrictions on the values that decision variables can simultaneously take and that must be satisfied. There are various types of constraints that can be stated within Xpress Kalis:
- Linear constraint (equation, inequality, disequality), e.g.: x ≠ y, x = y, x ≤ y etc.
- Non-linear constraint (equation, inequality), e.g.: x = y / z, x * y + 2 * ln(z) = exp(w), x^2 + y^2 ≤ z^2 etc.
- Symbolic constraint, e.g.: all-different(x,y,z) meaning (x ≠ y) ∧ (x ≠ z) ∧ (x ≠ z)
- Logical relation, e.g.: x ≠ y ⇒ z = 3
- User-defined constraints such as generic_binary_constraint(x,y)
All constraints are represented by the type cpctr.
| abs |
Absolute value constraint
|
| all_different |
All different constraint
|
| and |
Conjunction composite constraint
|
| cplinctr |
Linear constraints
|
| cpnlinctr |
Non-linear constraints
|
| cumulative |
Cumulative constraint
|
| cycle |
Cycle constraint
|
| disjunctive |
Disjunctive constraint
|
| distance |
Distance constraint
|
| distribute |
Distribute constraint with fixed bounds
|
| element |
Element constraint
|
| equiv |
Equivalence composite constraint
|
| exp |
Exponential of a non-linear expression
|
| generic_binary_constraint |
Generic Binary constraint
|
| generic_nary_constraint |
Generic nary constraint
|
| implies |
Implication composite constraint
|
| ln |
Natural logarithm of a non-linear expression
|
| maximum_minimum |
Maximum/minimum constraint
|
| occurrence |
Occurrence constraint
|
| or |
Disjunction composite constraint
|
| producer_consumer |
Producer Consumer constraint
|
| table_constraint |
Generic nary table constraint
|
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