The Traveling Salesman Problem

A Computational Study

Nonfiction, Science & Nature, Mathematics, Applied, Computers, General Computing
Cover of the book The Traveling Salesman Problem by David L. Applegate, Robert E. Bixby, William J. Cook, Vašek Chvátal, Princeton University Press
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Author: David L. Applegate, Robert E. Bixby, William J. Cook, Vašek Chvátal ISBN: 9781400841103
Publisher: Princeton University Press Publication: September 19, 2011
Imprint: Princeton University Press Language: English
Author: David L. Applegate, Robert E. Bixby, William J. Cook, Vašek Chvátal
ISBN: 9781400841103
Publisher: Princeton University Press
Publication: September 19, 2011
Imprint: Princeton University Press
Language: English

This book presents the latest findings on one of the most intensely investigated subjects in computational mathematics--the traveling salesman problem. It sounds simple enough: given a set of cities and the cost of travel between each pair of them, the problem challenges you to find the cheapest route by which to visit all the cities and return home to where you began. Though seemingly modest, this exercise has inspired studies by mathematicians, chemists, and physicists. Teachers use it in the classroom. It has practical applications in genetics, telecommunications, and neuroscience.

The authors of this book are the same pioneers who for nearly two decades have led the investigation into the traveling salesman problem. They have derived solutions to almost eighty-six thousand cities, yet a general solution to the problem has yet to be discovered. Here they describe the method and computer code they used to solve a broad range of large-scale problems, and along the way they demonstrate the interplay of applied mathematics with increasingly powerful computing platforms. They also give the fascinating history of the problem--how it developed, and why it continues to intrigue us.

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This book presents the latest findings on one of the most intensely investigated subjects in computational mathematics--the traveling salesman problem. It sounds simple enough: given a set of cities and the cost of travel between each pair of them, the problem challenges you to find the cheapest route by which to visit all the cities and return home to where you began. Though seemingly modest, this exercise has inspired studies by mathematicians, chemists, and physicists. Teachers use it in the classroom. It has practical applications in genetics, telecommunications, and neuroscience.

The authors of this book are the same pioneers who for nearly two decades have led the investigation into the traveling salesman problem. They have derived solutions to almost eighty-six thousand cities, yet a general solution to the problem has yet to be discovered. Here they describe the method and computer code they used to solve a broad range of large-scale problems, and along the way they demonstrate the interplay of applied mathematics with increasingly powerful computing platforms. They also give the fascinating history of the problem--how it developed, and why it continues to intrigue us.

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