Simulation 1.

Descriptions:
1. In the BS_5 network( 120 nodes, 240 links)
2. Randomly generate 4,000,000 instances of node pairs (source s, destination d) and s != d
3. For each instances, calculate the path length of (s, d) under
    (i) no failure
    (ii) a single component failure
4. Calculate three statistical quantities: the average path length (Avg.), the standard deviation of path length (Std), and the maximum path length and the number of its occurrences (Max.)

Simulation results: (i) Avg.=18.734041, Std=12.570778, Max.=60(558 times); (ii) Avg.=26.614853, Std=15.470763, Max.=100(14 times)

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Simulation 2.

Descriptions:
1. In the BS_6 network( 720 nodes, 1800 links)
2. Randomly generate 4,000,000 instances of node pairs (source s, destination d) and s != d
3. For each instances, calculate the path length of (s, d) under
    (i) no failure
    (ii) a single component failure
4. Calculate three statistical quantities: the average path length (Avg.), the standard deviation of path length (Std), and the maximum path length and the number of its occurrences (Max.)

Simulation results: (i) Avg.=36.792469, Std=17.923204, Max.=105(27 times); (ii) Avg.=44.406456, Std=20.521777, Max.=156(1 times)

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Simulation 3.

Descriptions:
1. In the BS_7 network( 5040 nodes, 15120 links)
2. Randomly generate 4,000,000 instances of node pairs (source s, destination d) and s != d
3. For each instances, calculate the path length of (s, d) under
    (i) no failure
    (ii) a single component failure
4. Calculate three statistical quantities: the average path length (Avg.), the standard deviation of path length (Std), and the maximum path length and the number of its occurrences (Max.)

Simulation results: (i) Avg.=56.991570, Std=22.507605, Max.=166(3 times); (ii) Avg.=65.023276, Std=24.751917, Max.=209(1 times)