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| Notations | Meaning |
|
| Input data of subtask |
| Output data of subtask |
| , | Uplink and downlink small scale fading channel power gains, respectively |
| Boolean variable for offloading option of subtask |
| Optimal offloading policy |
| Current available energy of MT’s battery |
| Energy of MT’s battery for coming time slot |
| Percent current level of MT’s battery |
| Available bandwidth |
| CPU cycles to execute 1 byte of data |
| , | MT’s downlink reception and uplink transmission time delays, respectively |
| , | Processing and total time delays for subtask , respectively |
| Maximum time delay for single application |
| , | Time delays for local and remote execution of subtask , respectively |
| , | Local and remote execution energy consumption for subtask , respectively |
| Maximum energy consumption for single application |
| Harvested energy of MT during subtask |
| Effective switching capacitance factor |
| and | Unit balancing coefficients |
| Channel power gain for subtask |
| , | MT’s uplink and downlink channel data rates, respectively |
| Number of subtasks |
| Cost function |
| , | Cost functions for local execution and remote execution of subtask , respectively |
| Optimal cost |
| Size of application |
| Noise spectral density |
| Number of subtasks per application |
| Optimal number of subtasks |
| , | CPU frequencies of MES and MT, respectively |
| OP | Matrix of all possible offloading policies |
| Path loss exponent |
| , | Transmitted powers of HAP and MT, respectively |
| Downlink power of HAP |
| Path loss constant |
| Distance between MT and HAP |
| Reference distance |
| and | Weighting coefficients |
| , | MT’s time fractions for harvesting energy and data offloading, respectively |
| , | Optimal time fractions for energy harvesting and data offloading, respectively |
| Time resolution |
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