Branch-and-Cut

Branch-and-Cut is an optimization method used to solve complex mathematical problems, such as finding the best way to schedule, route, or allocate resources. It combines two techniques: "branching," which systematically explores different choices or options, and "cutting," which adds constraints to eliminate impossible or suboptimal solutions. By iteratively narrowing down possibilities and tightening the problem's limits, Branch-and-Cut efficiently finds the optimal solution or proves that none exists. It's widely used in operations research and logistics to solve large, challenging problems more effectively than straightforward methods.