👉 Traveling salesman problems (TSP) involve finding the shortest possible route that visits each city exactly once and returns to the starting point, often used in logistics and optimization. The "travelling" aspect refers to a salesman or saleswoman who must visit multiple locations to maximize sales or minimize travel cost. The challenge lies in determining the most efficient sequence of visits, balancing distance and time, which can be computationally intensive as the number of cities increases. Various algorithms, from brute-force methods to heuristic and approximation techniques, are employed to tackle this problem, aiming to find near-optimal solutions within feasible time frames.