Question
A traveling salesman needs to make sales calls on 11 cities in the United States. The salesmans home base is Chicago. Complete the following: a)
A traveling salesman needs to make sales calls on 11 cities in the United States. The salesmans home base is Chicago. Complete the following:
a) Use the Greedy Algorithm to determine a possible route that begins and ends in Chicago that ensures the salesman visits each city and minimizes the miles traveled. List out each step and the miles also state the total miles traveled to complete the circuit.
b) Make a weighted graph showing the route determined using the Greedy Algorithm.
Atlanta | Boston | Chicago | Cleveland | Dallas | Denver | Houston | Kansas City | Las Vegas | Los Angeles | Miami | |
Atlanta | 1075 | 715 | 730 | 830 | 745 | 800 | 820 | 1980 | 2185 | 665 | |
Boston | 1075 | 980 | 645 | 1870 | 2010 | 1965 | 1445 | 2750 | 3130 | 1550 | |
Chicago | 715 | 980 | 345 | 940 | 1020 | 1075 | 505 | 1780 | 2190 | 1390 | |
Cleveland | 730 | 645 | 345 | 1225 | 1375 | 1360 | 800 | 2090 | 2490 | 1365 | |
Dallas | 830 | 2010 | 940 | 1225 | 800 | 245 | 505 | 1230 | 1435 | 1395 | |
Denver | 745 | 2010 | 1020 | 1375 | 800 | 1040 | 605 | 760 | 1020 | 2130 | |
Houston | 800 | 1965 | 1075 | 1360 | 245 | 1040 | 750 | 1470 | 1565 | 1330 | |
Kansas City | 820 | 1445 | 505 | 800 | 505 | 605 | 750 | 1370 | 1635 | 1485 | |
Las Vegas | 1980 | 2750 | 1780 | 2090 | 1230 | 760 | 1470 | 1370 | 270 | 2570 | |
Los Angeles | 2185 | 3130 | 2190 | 2490 | 1435 | 1020 | 1565 | 1635 | 270 | 2885 | |
Miami | 665 | 1550 | 1390 | 1365 | 1395 | 2130 | 1330 | 1485 | 2570 | 2885 |
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