United States $1292 $927 $285 $275 $198 $415 $367 $1450 $375 $125 $350

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United States $1292 $927 $285 $275 $198 $415 $367 $1450 $375 $125 $350 Hong Kong Syracuse, NY $1292 Manila, Philippines $927 $285 $275 $198 $415 $367 $1450 $375 $125 $350 $1673 Saigon, Vietnam $1390 Singapore $245 Part A: Solve this problem using the Nearest Neighbor Algorithm (Starting and ending point is at Syr, NY). Part B: Solve this problem using the Cheapest-Link Algorithm. $209 $200 $299 $1435 $184 $550 $378 Tokyo, Japan Bangkok, Thailand Note: One-way airfares from US to other countries were searched on www.yahoo.com to travel in December of 2007. Others were estimated by T. Bui at OCC

Math 113 - TRAVELING SALESMAN PROBLEM: Name ______________________ My family plans to travel to Hong Kong, Saigon, Tokyo, Bangkok, Singapore, and Manila this December from Syracuse, NY. We want to spend 1 week at each city and return to Syracuse, NY after 6 weeks of vacationing. We reply on you to find the cheapest trip for us. A) Use the Nearest Neighbor Algorithm (start and end at Syracuse, NY) B) Use the Cheapest-Link Algorithm