Advances, Systems and Applications
Table 3 List of the main symbols and their meanings
From: Look-ahead energy efficient VM allocation approach for data centers
Symbol | Meaning |
|---|---|
S | Set of servers where \(S\), \({\mathrm{S}}_{\mathrm{i}} \in S\), \(i=\{1,\dots , n\}\),\(i \in N\) |
RC[\({\mathrm S}_{\mathrm i}\)] | Remaining capacity of \({\mathrm{S}}_{\mathrm{i}}\) |
UR[\({\mathrm W}_{\mathrm{new}}\)] | Utilization requirement of \({\mathrm{W}}_{\mathrm{new}}\) |
TU[\({\mathrm S}_{\mathrm i}\)] | Total utilization of \({\mathrm{S}}_{\mathrm{i}}\) |
\({\mathrm W}_{\mathrm i,\mathrm j}\) | \({\mathrm{W}}_{\mathrm{j}} \in \mathrm{W}\) running on \({\mathrm{S}}_{\mathrm{i}}\)\(j=\{1,\dots , m\}\),\(m \in N\) |
\({\mathrm{VM}}_{\mathrm i,\mathrm k}\) | \({\mathrm{VM}}_{\mathrm{k}} \in \mathrm{VM}\) on \({\mathrm{S}}_{\mathrm{i}}\)\(k=\{1,\dots , z\}\),\(z \in N\) |
max(\(\mathrm{RT}_{\mathrm i,\mathrm j}^{\mathrm W}\)) | Maximum remaining time of existing workloads |
min(\(\mathrm{RT}_{\mathrm i,\mathrm j}^{\mathrm W}\)) | Minimum remaining time of existing workloads |
ET[\({\mathrm W}_{\mathrm{new}}\)] | Execution time of \({\mathrm{W}}_{\mathrm{new}}\) |