Find a nearest-neighbor tour

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Reference no: EM131568741

Nick is a traveling salesman. His territory consists of the 11 cities shown on the mileage chart in Fig. 6-54. Nick must find a tour that starts and ends in Dallas (that's his home) and visits each of the other 10 cities.

(a) Find a nearest-neighbor tour that starts at Dallas.

(b) Find the cheapest-link tour.

Mileage Chart


Atlanta Boston Buffalo Chicago Columbus Dallas Denny Houston Kansas City Lotusville Memphis
Atlanta * 1037 859 674 533 795 1398 789 798 382 371
Boston 1037 * 446 963 735 1748 1949 1804 1391 941 1293
Buffalo 859 446 * 522 326 1346 1508 1460 966 532 899
Chicago 674 963 522 * 308 9i7 996 1067 499 292 530
Columbus 533 735 326 308 * 1028 1229 1137 656 209 576
Dallas 795 1748 1346 917 1028 * 781 243 439 829 452
Denny 1398 1949 1508 996 1229 787 * 1019 600 1.12 1040
Houston 789 1804 1460 1067 1137 243 1019 * 710 923 561
Kansas City 798 1391 966 499 656 489 600 710 * 520 451
Lotusville 382 941 532 292 209 819 1120 923 520 * 367
Memphis 371 1293 899 530 576 452 1040 501 451 367 *

Verified Expert

This paper is related to the answer to the two questions. This first question is related to find out the nearest neighbor tour that has been started in Dallas and the second question is related to find out the cheapest-link tour among the many link tour. This paper discussed the figure number one and told that having a bridge where there has not appeared any Hamilton’s circuit. In the second part of this paper, it has said that there is existed Hamilton’s path as it has observed that every vertex of the graph has used only once. For completing this paper, it has included three separated graphs and Microsoft office word is used in preparing this paper.

Reference no: EM131568741

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