Cutting Plane Method

The Cutting Plane Method is an optimization technique used to find the best solution to complex problems with many constraints. It works by starting with an initial approximation and then iteratively refining it. At each step, the method identifies a constraint (a "cut") that the current solution violates and adds it to the problem, effectively narrowing down the possible solutions. This process continues until the solution satisfies all constraints and is optimal. Think of it as carving away parts of a shape to get closer to the optimal point, gradually "cutting" off areas that don't meet the requirements.