Advances, Systems and Applications
Table 2 Mathematical notations
From: MSCO: Mobility-aware Secure Computation Offloading in blockchain-enabled Fog computing environments
Notation | Description |
|---|---|
MD | Set of Mobile Devicess |
\(D_{n}\) | Data size of \(n^{th}\) computational task |
\(C_{n}\) | Total amount of CPU cycles needed to finish the task |
\(\tau _{n}\) | Maximum tolerable delay of an application |
F | Set of all fog server |
\(f_{i}\) | Fog server i |
\(f_{vi}\) | Computational speed of \(f_{i}\) |
\(ST_{i}\) | Time spent inside the scope of a fog server’s service i |
\(x_{i}\) | Assigned offloading computation for \(f_{i}\) |
\(P_{i}\) | Assignment decision for \(a_{i}\) |
\(M_{i}\) | Migration decision for \(a_{i}\) |
\(\Theta _{c}\) | Power consumption of fog server during computation process |
\(\Theta _{t}\) | Power consumption of MD during offloading task to fog server |
MT | Mobility Trajectory |
R | Set of fog server candidates under the service coverage area of MDs |
\(\Delta _{w}\) | Estimated waiting time in one location |
\(D_{t}\) | Distance Threshold |
\(\Delta _{d}\) | Estimated distance between two successive locations |
\(l_{i}\) | Geographical location of MD |
\(E_{i}\) | Energy cost of the application \(a_{i}\) |
\(T_{i}\) | Total computational latency of the \(a_{i}\) |
\(tw_{i}\) | Waiting time for fog server \(f_{i}\)’s availability |
N | Number of Fog Clusters |