Table 1 List of variables
From: Traffic demand-aware topology control for enhanced energy-efficiency of cellular networks
Variable | Symbol |
|---|---|
Set of all base stations | \({\mathcal {L}} = \{1,\ldots,L\}\) |
Set of all cells | \({\mathcal {M}}= \{1,\ldots,M\}\) |
Set of cells associated with base station l | \({\mathcal {S}}_{l}\subset {\mathcal {M}}\) |
Set of all test points | \({\mathcal {N}}= \{1,\ldots,N\}\) |
Set of test points served by cell i | \({\mathcal {N}}_{i}\subset {\mathcal {N}}\) |
Rate requirements of all test points | \(\boldsymbol {r} = \left [ r_{1},r_{2}, \ldots, r_{N} \right ] \in \mathbb {R}_{++}^{N}\) |
Assignment matrix | X=[x i,j ]∈{0,1}M×N |
Cell load vector | ρ:=[ρ 1,…,ρ M ]T∈[0,1]M |
Path-loss matrix | \(\mathbf {G}=[g_{i,j}]\in \mathbb {R}_{++}^{M \times N}\) |
Link spectral efficiency in bits per resource block | \(\omega _{i,j}: \mathbb {R}_{+}^{M} \to \mathbb {R}_{+}\) |
Worst-case link spectral efficiency in bits per resource block | \(\tilde {\omega }_{i,j}\in \mathbb {R}_{+}\) |
Number of resource blocks available at cell i | \(B_{i}\in \mathbb {R}_{++}\) |
Static energy consumption of base station l | \(c_{l}\in \mathbb {R}_{+}\) |
Static energy consumption of cell i | \(e_{i}\in \mathbb {R}_{+}\) |
Dynamic energy consumption of cell i | \(f_{i}: [0,1]\to \mathbb {R}_{+}\) |