integrality constraints yields a linear program. |
integrality constraints yields a LinearProgram.? |
solution to the relaxed problem. |
solution to the relaxed problem. |
To "relax" a problem is to remove some of the constraints of the problem, hopefully making the problem easier. The set of feasible solutions to the relaxed problem includes all feasible solutions to the original problem (and the cost functions of the two problems agree on these feasible solutions).
For example, relaxing an IntegerLinearProgram by removing the integrality constraints yields a LinearProgram.?
The cost of the optimal solution to the relaxed solution is a lower bound on the cost of the optimal solution to the original problem, because the optimal solution to the original problem is a feasible solution to the relaxed problem.