Brian needs to visit the pet store, the shopping mall, the local farmers' market, and the pharmacy. His estimated driving times (in minutes) between the locations are given in the table below. Use the Greedy Algorithm and the Edge-Picking Algorithm to find two possible routes, starting and ending at home, that will help Brian minimize his total travel time. Home Pet store Shopping mall Farmers' market Greedy Algorithm: Pharmacy ΟΟΟΟ Edge-Picking Algorithm: Home Pet store 19 == 19 29 17 7 27 25 11 home-pharmacy-shopping mall-pet store-farmer's market-home home-farmer's market-shopping mall-pharmacy-pet store-home home-pharmacy-pet store-farmer's market-shopping mall-home O home-shopping mall-pharmacy-pet store-farmer's market-home O home-pet store-farmer's market-shopping mall-pharmacy-home Shopping mall 29 27 home-shopping mall-pharmacy-pet store-farmer's market-home home-pharmacy-pet store-shopping mall-farmer's market-home home-farmer's market-pharmacy-pet store-shopping mall-home home-pet store-shopping mall-pharmacy-farmer's market-home home-farmer's market-pet store-shopping mall-pharmacy-home 23 34 Farmers' market 17 25 23 -- 25 Pharmacy 7 11 34 25 --

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Brian needs to visit the pet store, the shopping mall, the local farmers' market, and the pharmacy. His estimated driving times (in
minutes) between the locations are given in the table below. Use the Greedy Algorithm and the Edge-Picking Algorithm to find two
possible routes, starting and ending at home, that will help Brian minimize his total travel time.
Home
Pet store
Shopping mall
Farmers' market
Pharmacy
Home
19
29
17
7
Pet store
19
--
27
25
11
Shopping mall
29
27
Greedy Algorithm:
O home-pharmacy-shopping mall-pet store-farmer's market-home
home-farmer's market-shopping mall-pharmacy-pet store-home
home-pharmacy-pet store-farmer's market-shopping mall-home
home-shopping mall-pharmacy-pet store-farmer's market-home
home-pet store-farmer's market-shopping mall-pharmacy-home
Edge-Picking Algorithm:
home-shopping mall-pharmacy-pet store-farmer's market-home
home-pharmacy-pet store-shopping mall-farmer's market-home
home-farmer's market-pharmacy-pet store-shopping mall-home
home-pet store-shopping mall-pharmacy-farmer's market-home
home-farmer's market-pet store-shopping mall-pharmacy-home
23
34
Farmers' market
17
25
23
25
Pharmacy
7
11
34
25
Transcribed Image Text:Brian needs to visit the pet store, the shopping mall, the local farmers' market, and the pharmacy. His estimated driving times (in minutes) between the locations are given in the table below. Use the Greedy Algorithm and the Edge-Picking Algorithm to find two possible routes, starting and ending at home, that will help Brian minimize his total travel time. Home Pet store Shopping mall Farmers' market Pharmacy Home 19 29 17 7 Pet store 19 -- 27 25 11 Shopping mall 29 27 Greedy Algorithm: O home-pharmacy-shopping mall-pet store-farmer's market-home home-farmer's market-shopping mall-pharmacy-pet store-home home-pharmacy-pet store-farmer's market-shopping mall-home home-shopping mall-pharmacy-pet store-farmer's market-home home-pet store-farmer's market-shopping mall-pharmacy-home Edge-Picking Algorithm: home-shopping mall-pharmacy-pet store-farmer's market-home home-pharmacy-pet store-shopping mall-farmer's market-home home-farmer's market-pharmacy-pet store-shopping mall-home home-pet store-shopping mall-pharmacy-farmer's market-home home-farmer's market-pet store-shopping mall-pharmacy-home 23 34 Farmers' market 17 25 23 25 Pharmacy 7 11 34 25
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