Table 1 Notations
From: Energy-aware task offloading with deadline constraint in mobile edge computing
Name | Description |
|---|---|
\(n\) | The number of eNBs in the MEC environment |
\(T_{{{\text{slot}}}}\) | The duration of each time slot |
\(W\) | The task workload |
\(D\) | The data size of the task |
\(\lambda\) | The task arrival rate at MD |
\(T_{{{\text{DL}}}}\) | The task’s deadline constraint |
\(z\left( \tau \right)\) | The number of arrived tasks at MD at time slot \(\tau\) |
\(\eta_{i} \left( \tau \right)\) | The data transmission rate from MD to \({\text{eNB}}_{i}\) in time slot \(\tau\) |
\(\alpha_{i} \left( \tau \right)\) | The number of tasks offloaded to \({\text{eNB}}_{i}\) in time slot \(\tau\) |
\(\beta_{i} \left( \tau \right)\) | The number of tasks processed in time slot \(\tau\) |
\(c_{i} \left( \tau \right)\) | The computation capacity of MD or \({\text{eNB}}_{i}\) |
\(T_{i}^{{{\text{tx}}}} \left( \tau \right)\) | The data transmission time of offloading task from MD to \({\text{eNB}}_{i}\) |
\(T_{i}^{{{\text{ex}}}} \left( \tau \right)\) | The execution time of a task on MD or \({\text{eNB}}_{i}\) |
\(E\left( \tau \right)\) | The total energy consumption of MD at time slot \(\tau\) |
\(U\left( \tau \right)\) | The total utility at time slot \(\tau\) |
\(P\left( \tau \right)\) | The total penalty of task dropping at time slot \(\tau\) |
\(R\left( \tau \right)\) | The total reward at time slot \(\tau\) |