Advances, Systems and Applications
Table 2 Description of used notations
From: An efficient population-based multi-objective task scheduling approach in fog computing systems
Symbol | Description |
|---|---|
T | Set of IoT tasks in the task scheduling requests |
n | Number of tasks in the task scheduling requests |
ti | The ith task in the task scheduling request |
F | Set of fog nodes in the system |
m | Number of fog nodes in the system |
fj | The jth fog node in the system |
Di | Input data size of task ti |
Ii | Required computing density of task ti |
DEi | Deadline of task ti |
\(C^{max}_{j}\) | Computing capacity of fog node fj |
\(S^{max}_{j}\) | Storage capacity of fog node fj |
\(E^{max}_{j}\) | Battery capacity of fog node fj |
aij | A binary variable determining whether ti is assigned to fj |
Aassign | assign matrix of size n∗m |
U(Aassign) | Overall utility of a task scheduling solution |
Q(i,j) | QoS score related to ti that is assigned to fog node fj |
wt | Weight for time QoS parameter |
we | Weight for energy QoS parameter |
Ttotal(aij) | Total time consumption for assigning IoT task ti to fog node fj |
Tup(aij) | Time consumption for transmitting IoT data for executing the task ti on fog node fj |
Texecute(aij) | Time consumption for executing IoT task ti in fog node fj |
Etotal(aij) | Total energy consumption for assigning IoT task ti to fog node fj |
Eup(aij) | Energy consumption for transmitting IoT data for executing the task ti on fog node fj |
Eexecute(aij) | Energy consumption for executing IoT task ti in fog node fj |
Rij | Transmission capacity of the channel between IoT device and fog node fj |