Research Article

Capacity Expansion and Reliability Evaluation on the Networks Flows with Continuous Stochastic Functional Capacity

Table 1

Final result of example.

Category The subset of related to The corresponding set of paths with Conditional probability

1(0.85, 0.9, 0.89, 0.99, 0.3, 0.7, 0.2, 0.68)(s, 1, 3, t)0.43
(0.66, 0.68, 0.7, 0.85, 0.3, 0.89, 0.2, 0.9)(s, 2, 4, t)

2(0.99, 0.85, 0.89, 0.4, 0.66, 0.7, 0.2, 0.68)
(0.85, 0.89, 0.9, 0.4, 0.3, 0.7, 0.2, 0.68)
(s, 1, 3, t)0.52
(s, 2, 4, t)
(s, 1, 2, 4, t)

3(0.89, 0.9, 0.4, 0.85, 0.2, 0.68, 0.66, 0.99)
(0.89, 0.9, 0.4, 0.7, 0.3, 0.68, 0.66, 0.99)
(s, 1, 3, t)0.57
(s, 2, 4, t)
(s, 1, 3, 4, t)

4(0.99, 0.9, 0.66, 0.4, 0.3, 0.7, 0.68, 0.89)(s, 1, 3, t)0.64
(s, 2, 4, t)
(s, 1, 2, 4, t)
(s, 1, 3, 4, t)