Travelling Salesman Problem

The Traveling Salesman Problem (TSP) is a challenge in optimization where a salesperson aims to visit multiple cities exactly once and return to the starting point, while minimizing the total travel distance or cost. It involves finding the shortest possible route that covers all locations efficiently. TSP is complex because the number of possible routes increases dramatically as more cities are added, making it a difficult problem to solve perfectly for large sets. This problem has applications in logistics, planning, and network design, and researchers seek methods to find near-optimal solutions efficiently.