👉 Branches engineering, also known as branch-and-bound or branch and cut algorithms, is a class of optimization techniques used in computational mathematics and computer science to solve complex decision problems, particularly those involving integer variables. It is a method that systematically explores the solution space by dividing it into smaller, more manageable subproblems (branching) and pruning branches that cannot lead to optimal solutions (bounding). This approach is especially useful in scenarios where the solution space is vast and contains many potential solutions, such as scheduling, resource allocation, and network design problems. By efficiently narrowing down the search space, branches engineering helps to find optimal or near-optimal solutions more quickly than exhaustive search methods, making it a powerful tool in operations research and artificial intelligence.