Figure 1. An illustration of a small communication network in which the weight of a link is its reliability.
There are three routes from A to B in this simple communication network (A-D-E-F-B, A-C-F-B and A-G-B), in which the product of weights along links of the route A-D-E-F-B is the largest. Therefore, the most reliable route from A to B is A-D-E-F-B, whose reliability is about 0.58.