Finite Mathematics, Feodor F. Dragan, Kent State University 2dragan/FinMath02/HamCycles-2.pdf ·...

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The traveling salesman problem on the WWW• http://www.math.princeton.edu/tsp/index.html• http://www.cs.rutgers.edu/~chvatal/tsp.html

49 cities• Dantzig, Fulkerson, and Johnson (1954) • Groetschel (1977).

120 cities

• Groetschel and Holland (1987)

tour of 666 interesting places.Proctor and Gamble ran a contest in 1962. The contest required solving a TSP on a specified 33 cities. There was a tie between many people who found the optimum.

• Padberg and Rinaldi (1987) tour through a layout of 2,392 that was obtained from TektronicsIncorporated.

• Padberg and Rinaldi (1987)

532 AT&T switch locations.

• Applegate, Bixby, Chvátal, and Cook (1994) tour for a 7,397-city TSP that arose in a programmable logic array application at AT&T Bell Laboratories.

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• Applegate, Bixby, Chvátal, and Cook (1998) found the optimal tour of the 13,509 cities in the USA with populations greater than 500.

• Applegate, Bixby, Chvátal, and Cook (2001) found the optimal tour of 15,112 cities in Germany

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