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And even the most unrelenting brute-force attack on the traveling salesman problem (TSP) might not be enough. Finding the shortest way around a 33-city route would require calculating the distances ...

This algorithm is faster than the original r-optimal method, and computation times increase much less rapidly with problem size. The new algorithm makes it possible to solve large-scale travelling ...

After Karp’s paper was published, many computer scientists set their sights on creating an efficient algorithm to find approximate solutions to the traveling salesman problem — round-trip ...

Forget GPS. With no fancy maps or even brains, immune system cells can solve a simple version of the traveling-salesman problem, a computational conundrum that has vexed mathematicians for decades.

We consider a variant of the classical symmetric Traveling Salesman Problem in which the nodes are partitioned into clusters and the salesman has to visit at least one node for each cluster. This ...