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| Sets |
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| S | Set of all possible combinations of bridge failure states, sS |
| A | Set of all links of the transportation network, aA |
| K | Set of all points, kK |
| B | Set of all bridges, bB |
| R | Set of all routes, r R |
| OD | Set of all demand pairs (origins and destinations), od OD |
| Parameters |
| A large enough positive number |
| Tr | Travel time of path r |
| TT | Desired total travel time for a certain network |
| TTT | Total travel time for a certain network |
| la | Length of link a |
| Importance of route r |
| Ka | Postdisaster capacity of link a |
| Number of required routes between an origin (O) and destination (D) |
| Amount of demand between the o and d, which crosses from route r |
| Minimum coverage level |
| rC | The available allocable budget for retrofitting |
| Retrofitting cost of bridge b |
| Predicted probability of the survival of bridge b before retrofitting |
| Estimated probability of survival of bridge b after retrofitting |
| Variables |
| 1 if link a is used, and 0 otherwise |
| 1 if path r is used between origin O and destination D, and 0 otherwise |
| 1 if point k with type O is covered, and 0 otherwise |
| 1 if link a is part of path r, and 0 otherwise |
| 1 if point k is covered with link a, and 0 otherwise |
| 1 if bridge b in the state s is nonfunctional, and 0 otherwise |
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