Given a graph G (N, A) on which each arc (i, j) € A has an associated value rij, which is a real number in the range of 0 ≤ rij ≤ 1 that represents the reliability of a communication channel from node i to node j. We interpret r¡¡ as the probability that the channel from node i to node j will not fail, and we assume that these probabilities are independent. Please formulate this problem as a shortest path problem and solve it using the Dijkstra's algorithm. 1 0.8 0.8 2 3 0.5 0.6 1 0.8 4 0.9 5 0.9 0.7 6

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Given a graph G (N, A) on which each arc (i, j) E A has an associated value rij, which is a real number in
the range of 0 ≤ rij ≤ 1 that represents the reliability of a communication channel from node i to node j.
We interpret rij as the probability that the channel from node i to node j will not fail, and we assume that
these probabilities are independent. Please formulate this problem as a shortest path problem and solve it
using the Dijkstra's algorithm.
1
0.8
0.8
2
3
نیا
0.5
0.6
1
0.8
0.9
5
0.9
0.7
Transcribed Image Text:Given a graph G (N, A) on which each arc (i, j) E A has an associated value rij, which is a real number in the range of 0 ≤ rij ≤ 1 that represents the reliability of a communication channel from node i to node j. We interpret rij as the probability that the channel from node i to node j will not fail, and we assume that these probabilities are independent. Please formulate this problem as a shortest path problem and solve it using the Dijkstra's algorithm. 1 0.8 0.8 2 3 نیا 0.5 0.6 1 0.8 0.9 5 0.9 0.7
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