| Parameters | Meaning |
| n | Entire system time steps |
| nd | Number of connected Internet of Things devices to the fog node in each fragment |
| nb | Number of neighboring fragments |
| nQ | Learning time steps |
| ɛ | Probability of random selection |
| α | Learning coefficient |
| γ | Constant discount factor |
| p | Predefined device priorities |
| zm | Determines the situation of the fragment |
| zn | Average of zm of all neighbors |
| Thl | Threshold length |
| Thold | Last threshold level |
| Thnew | New selected threshold level |
| Threshold | Contains Thnew based on zn, zm, and Thold and is continuously updated while learning the best threshold level |
| NTh | Number of Threshold elements |
| Thc | Correct threshold levels, based on the internal and external situations, as the target threshold matrix |
| RTh | Received reward of learning the best threshold level through reinforced learning |
| QTh | Represents the Q-value of the selected threshold level |
| punish | Number of feasible helpers with lower priority than the emergency device priority |
| countpun | Total feasible helpers with lower priority than the selected helpers for all needy devices in time step n |
| penalty | Number of all devices with lower priority than the current needy device priority |
| blame | Punishment when choosing a neighboring device when feasible devices have lower priority than the threshold |
| flag | flag(i) = 0 indicates that device i is in a normal situation, and flag(i) = 1 indicates an emergency |
| track | track(i) = 1 indicates that device i has received extra bandwidth |
| fnort | fnort(i) = 0 indicates that needy device i has not received extra bandwidth |
| a | Selected action (helper) |
| RnQ | Received reward for the fog node |
| Qnew | Represents the Q-value of the selected device k for helping device i |
| SBM | Successful bandwidth management |