Recommended by Nick Higham, and 1 others. See all reviews
Ranked #36 in Operations Research
What is the shortest possible route for a traveling salesman seeking to visit each city on a list exactly once and return to his city of origin? It sounds simple enough, yet the traveling salesman problem is one of the most intensely studied puzzles in applied mathematics--and it has defied solution to this day. In this book, William Cook takes readers on a mathematical excursion, picking up the salesman's trail in the 1800s when Irish mathematician W. R. Hamilton first defined the problem, and venturing to the furthest limits of today's state-of-the-art attempts to solve it. He also explores... more
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Nick Higham The problem is very hard. Even with the fastest computers and the best algorithms that we have today, we aren’t able to solve it yet. (Source)