TSP (Traveling Salesman Problem)

The Traveling Salesman Problem (TSP) asks: given a list of cities and the distances between each pair, what is the shortest possible route that visits each city exactly once and returns to the starting point? It’s a way to find the most efficient path for a sales representative or delivery route. TSP is complex because as the number of cities increases, the potential routes grow exponentially, making it difficult to solve efficiently. It's a fundamental challenge in optimization and has applications in logistics, manufacturing, and circuit design.