4. (a) Use Dijkstra's algorithm to find the shortest path from node A to node F in the following network and give its length. A C 2 7 5 B 24 13 6 3 F 14 1 E
4. (a) Use Dijkstra's algorithm to find the shortest path from node A to node F in the following network and give its length. A C 2 7 5 B 24 13 6 3 F 14 1 E
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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![4. (a) Use Dijkstra's algorithm to find the shortest path from node A to node F in the
following network and give its length.
A
с
2
5
B
24
13
6
3
F
D
14
Weight [kg]
40
50
60
40
250
200
70
190
1
E
(b) A museum wants to ship 8 Roman statues for a special exhibition. They are to
be transported in crates each holding a maximum weight of 300 kilograms. The
numbers in the table represent the weight in kilograms of the statues:
Statue
Mercury
Venus
Tellus
Mars
Jupiter
Saturn
Caelus
Neptune
(i) Find the lower bound for the number of crates required to fit all statues.
(ii) Use the first fit decreasing algorithm to estimate the minimum number of crates
required to ship all statues. Does the first fit decreasing algorithm give an
optimal solution?
(iii) Find by trial and error a solution needing only & crates.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcf81274d-f2d1-4bb6-913e-5cfd271ce084%2Ff9718e4e-4c3a-42b1-9af3-b96df66bd1ef%2Fiu5aavs_processed.png&w=3840&q=75)
Transcribed Image Text:4. (a) Use Dijkstra's algorithm to find the shortest path from node A to node F in the
following network and give its length.
A
с
2
5
B
24
13
6
3
F
D
14
Weight [kg]
40
50
60
40
250
200
70
190
1
E
(b) A museum wants to ship 8 Roman statues for a special exhibition. They are to
be transported in crates each holding a maximum weight of 300 kilograms. The
numbers in the table represent the weight in kilograms of the statues:
Statue
Mercury
Venus
Tellus
Mars
Jupiter
Saturn
Caelus
Neptune
(i) Find the lower bound for the number of crates required to fit all statues.
(ii) Use the first fit decreasing algorithm to estimate the minimum number of crates
required to ship all statues. Does the first fit decreasing algorithm give an
optimal solution?
(iii) Find by trial and error a solution needing only & crates.
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