Symbol | Description |
---|---|
\(S\) | Set of hosted slices, e.g., \(S={s_{1}, s_{2}, s_{3}, s_{4}}\) |
\({\text{ LR}}_{s}\) | Set of line-rates in the slice \(s\) |
\(C\) | Set of cards with controlled resources, e.g., \(C=\{{\text{ LC}}_{1},{\text{ LC}}_{2}, {\text{ LC}}_{3}, SF\}\) |
\(T_{s}\) | Tier of slice \(s \in S\), e.g., \(T_{s}=\{LC_{1},LC_{2}, SF\}\) |
\(R\) | Set of all controlled resource types, e.g., \(R = \{{\text{ NP,} \text{ Memory}}\}\) |
\(L_{c}\) | Set of slices sharing the resources of card \(c\), e.g., \(L_{1}=\{s_{1}, s_{2}\}\) |
\({xr}_{s,r,c}^{l}\) | Requested fraction of resource type \(r\) in card \(c\) to be allocated to line-rate \(l\) in slice \(s\), \(0\le {xr}_{s,r,c}^{l}(k)\le 1\) |
\({xr}_{s,r,c}\) | Requested fraction of resource type \(r\) in card \(c\) to be allocated to slice \(s\) (from all its line-rates), \(0\le {xr}_{s,r,c}(k)\le 1\) |
\(xa_{s,r,c}\) | Actual fraction of resource type \(r\) in card \(c\) allocated to slice \(s\), \(0\le xa_{s,r,c}(k)\le 1\) |
\(\tau _{s}\) | Target packet latency for slice \(s\) for a given time interval |
\(t{s}\) | Measured average packet latency for slice \(s\) for a given time interval |
\(y_{s}\) | Performance for slice \(s\) for a given time interval, where \({y}_{s}=\frac{\tau _{s}}{ t_{s}}\) |
\(w_{s}\) | Priority weight for slice \(s\) |
\(q\) | Stability factor in the slice controller |