The number written next to each link of the network shown below is the probability of the link failing during the lifetime of a virtual circuit from node A to node B. It is assumed that links fail independently of each other. Find the most reliable path from A to B. This problem is equivalent to finding the path with minimum cost, for which we can use Dijkstra's algorithm, as shown in the table below the graph. Show your work. A 0.03 Step 0 1 2 3 4 5 6 ● ● 0.07 C 0.01 E N' {A} {A.C} {A,C,..} {A,C......} {A.C.........} {A.C............} .... **** D(B), p(B) 00.- **** *** 0.05 **** 0.02 0.04 ******* .... ... D **** *** 0.01 ... 0.02 F D(C), p(C) D(D), p(D) | D(E), p(E) | D(F), p(F) ..., A 0.07, A 00,- 00,- 0.08, C ... 0.06 **** 0.03 G **** *** 0.03 B D(G), p(G) ∞, - .... ... ... {A,C, ..........} You do not need to fill an entry at a given step if it is not changing during this step If several entries should be changed at a given step, follow the order of the columns starting at left and going right.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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The number written next to each link of the network shown below is the probability of the link
failing during the lifetime of a virtual circuit from node A to node B. It is assumed that links
fail independently of each other. Find the most reliable path from A to B.
This problem is equivalent to finding the path with minimum cost, for which we can use Dijkstra’s
algorithm, as shown in the table below the graph. Show your work.
0.03
A
Step
0
1
2
3
4
5
6
0.07
C
0.01
E
N'
{A}
{A,C}
{A,C,..}
{A.C......}
{A,C,........}
{A.C..........}
{A,C,.........}
D
0.05
A
0.02
0.02
0.01
0.04
D(B), p(B)
∞0,-
0.06
0.03
G
B
0.03
F
D(C), p(C) | D(D), p(D) | D(E), p(E) | D(F), p(F)
A
0.07, A
∞0,-
00,-
0.08, C
...', .
D(G), p(G)
00,
You do not need to fill an entry at a given step if it is not changing during this step
If several entries should be changed at a given step, follow the order of the columns starting at
left and going right.
Transcribed Image Text:The number written next to each link of the network shown below is the probability of the link failing during the lifetime of a virtual circuit from node A to node B. It is assumed that links fail independently of each other. Find the most reliable path from A to B. This problem is equivalent to finding the path with minimum cost, for which we can use Dijkstra’s algorithm, as shown in the table below the graph. Show your work. 0.03 A Step 0 1 2 3 4 5 6 0.07 C 0.01 E N' {A} {A,C} {A,C,..} {A.C......} {A,C,........} {A.C..........} {A,C,.........} D 0.05 A 0.02 0.02 0.01 0.04 D(B), p(B) ∞0,- 0.06 0.03 G B 0.03 F D(C), p(C) | D(D), p(D) | D(E), p(E) | D(F), p(F) A 0.07, A ∞0,- 00,- 0.08, C ...', . D(G), p(G) 00, You do not need to fill an entry at a given step if it is not changing during this step If several entries should be changed at a given step, follow the order of the columns starting at left and going right.
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