“…To account for varying levels of potential disruptions, for the studied 13-node network in Figure 6, we choose three representative damaging events corresponding to catastrophic, disruptive, and low disruptive scenarios respectively. More specifically, we consider three arbitrary scenarios under different levels of disruptions: s 1 = {(1, 2), (3,4), (1,5), (5, 6), (1, 9), (1, 11)} has six links broken with probability p 1 = 0.1; s 2 = {(1, 2), (1,5), (6,7), (1, 11)} has four links broken with probability p 2 = 0.3; and s 3 = {(1, 5), (1, 9)} has two links broken with probability p 3 = 0.6. Note a nodal pair in s k for k = 1, 2, and 3 represents a particular link.…”