The Traveling Salesperson Problem (TSP) is a classic optimization problem that aims to find the shortest possible route for a salesperson to visit a set of cities and return to the original city. This problem is significant in fields like logistics, computer science, and operations research because it helps in minimizing travel costs while maximizing efficiency. The TSP is known for being NP-hard, which means that finding an optimal solution quickly becomes infeasible as the number of cities increases, pushing researchers to seek approximate solutions instead.
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