Advances, Systems and Applications
Table 3 Description of notations
From: Task offloading exploiting grey wolf optimization in collaborative edge computing
Notation | Description |
|---|---|
\(\mathbb {U}\) | Set of mobile devices in the system |
\(\tau , \; \mathbb {E}\) | Set of tasks and set of servers, respectively |
\(c_{i}\) | Required CPU-cycle to complete task \(i \in \tau\) |
\(\mu ^{k}_{i}\) | % of CPU-cycles allocated to task \(i\in \tau\) by MD \(k \in \mathbb {U}\) |
\(\lambda _{ij}\) | % of CPU-cycles allocated to task \(i\in \tau\) by server \(j \in \mathbb {E}\) |
\(B_{ij}\) | Radio bandwidth allocated to task i by server j |
\(p^{k}\) | Transmission power of MD \(k \in \mathbb {U}\) |
\(f^{k}\) | CPU-cycle frequency of MD \(k \in \mathbb {U}\) |
\(f^{j}\) | CPU-cycle frequency of server \(j \in \mathbb {E}\) |
\(b_i\) | Size of input data of task \(i \in \tau\) |
\(\mathcal {B}_i\) | Size of the data code related to task \(i\in \tau\) |
\(\sigma _{i,j}\) | Cached resource availability for task i at server j |
\(\gamma _{j}\) | Per unit CPU-cycle cost of server \(j \in \mathbb {E}\) |
\(\eta _{j}\) | Per unit storage cost of server \(j \in \mathbb {E}\) |
\(\chi ^w\) | Position vector of wolf \(w \in P\) |
\(x^w_d\) | Position of wolf \(w \in P\) at \(d^{th}\) dimension |