Constraints

Constraints
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Constraints may be of the following types:

Bound constraints - a cuboid is carved from the domain of the objective function:
Example 6.2. Cuboid bound constraints for three variables
```
from biz.sc.math.opt.constraint import *

bc = BoundConstraint([1,1,2],[2,3,4])
                    
```

Linear constraints can be linear equations and linear one or two-sided inequalities.

Example 6.3. Linear equation constraints

from biz.sc.math.opt.constraint import *

lineq = LinearEquation([[1,1,2],[1,-1,3]], [2,3])

Example 6.4. One-sided linear inequality constraints - left-hand sides smaller than the right-hand sides

from biz.sc.math.opt.constraint import *

linineq1 = LinearInequality([[1,1,2],[1,-1,3]], [2,3])

The above is equivalent to

from biz.sc.math.opt.constraint import *

linineq1 = LinearInequality([[1,1,2],[1,-1,3]], [2,3], TRUE)

Example 6.5. Linear inequality constraints - left-hand sides greater than the right-hand sides

from biz.sc.math.opt.constraint import *

linineq2 = LinearInequality([[1,1,2],[1,-1,3]], [2,3], FALSE)

Example 6.6. Two sided linear inequality constraints

from biz.sc.math.opt.constraint import *

linineq3 = LinearInequality([[1,1,2],[1,-1,3]], [1,1], [2,3])

The set of constraints is represented as an ArrayList. All constraints are elements of the list.

Example 6.7. Creating a list of constraints

from biz.sc.math.opt.constraint import *
from java.util import ArrayList

bc = BoundConstraint([1,1,2],[2,3,4])

lineq = LinearInequality([[1,1,2],[1,-1,3]], [2,3], FALSE)

constraints =  ArrayList()

constraints.add(bc)
constraints.add(lineq)

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