| Term | Definition |
| xj | number of backup units for component j (decision variable) |
| n | number of possible backup units for any component |
| m | number of components in system |
| i | backup unit index |
| j | component index |
| rij | reliability of i parallel units for component j |
| cij | cost of i parallel units for component j |
| pherij | pheromone associated with i parallel units for component j |
| impij | number of times i parallel units for component j has been in the best solution |
| probij | probability of selecting i parallel units for component j |
| rs | system reliability |
| cs | system cost |
| maxR | highest obtained value of system reliability |
| A | pheromone amplifier |
| D | discount factor |
| B | budget |