two possible routes,

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Choose a vertex to start at, then travel along
the connected edge that has the smallest
weight. (If two or more edges have the same
weight, pick anyone.)
2. After arriving at the next vertex, travel
along the edge of the smallest weight that
connects to a vertex not yet visited. Continue
this process until you have visited all vertices.
3. Return to the starting vertex.
1. Vincent needs to visit the pet store,
the shopping mall, the local farmers
market, and the pharmacy. His
estimated driving times (in minutes)
between locations are given in the
table. a) Use the greedy algorithm
to find two possible routes, starting
and ending at home, that will help
Vincent minimize his total travel time.
(You need to find two answers for
this problem.) Draw the weighted
graph that represents each route
(trace the route) and compute for the
total travel time.
hom
e
sho
ppin
mall
Far
mer'
S
mar
ket
hom
e
phar
mac
y
0
pet
stor 18 0
e
pet
stor
e
18
00
sho
ppin
mall
27
27 14 0
20
14
Far
mer'
S
mar
ket
15
15 22 30 0
Phar
mac
y
8
22 20
30 32
25
32 25 0
Transcribed Image Text:1. Choose a vertex to start at, then travel along the connected edge that has the smallest weight. (If two or more edges have the same weight, pick anyone.) 2. After arriving at the next vertex, travel along the edge of the smallest weight that connects to a vertex not yet visited. Continue this process until you have visited all vertices. 3. Return to the starting vertex. 1. Vincent needs to visit the pet store, the shopping mall, the local farmers market, and the pharmacy. His estimated driving times (in minutes) between locations are given in the table. a) Use the greedy algorithm to find two possible routes, starting and ending at home, that will help Vincent minimize his total travel time. (You need to find two answers for this problem.) Draw the weighted graph that represents each route (trace the route) and compute for the total travel time. hom e sho ppin mall Far mer' S mar ket hom e phar mac y 0 pet stor 18 0 e pet stor e 18 00 sho ppin mall 27 27 14 0 20 14 Far mer' S mar ket 15 15 22 30 0 Phar mac y 8 22 20 30 32 25 32 25 0
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