|
In
i
|
Number of radio interfaces of node i
|
|
R
|
Set of M available transmission rates
|
|
P
max
|
Maximum transmission power
|
|
Ω
|
Set of non-overlapping channels
|
|
ch
i
|
Set of channels assigned to node i
|
|
G
|
Directed network graph
|
|
V
|
Set of n mesh routers
|
|
E
|
Set of directed links
|
|
e
ij
|
Directed link from node i to node j
|
|
G
ij
|
Propagation gain
|
|
d
ij
|
Geometric distance between two nodes i and j
|
|
SINR
ij
|
Signal to Interference and Noise Ratio in the receiver of link eij
|
|
γ(ρ)
|
SINR threshold corresponding to the rate ρ
|
|
N
0
|
Thermal noise power
|
|
\( {P}_{\mathrm{i}}^{min} \)
|
Minimum transmission power of node i to satisfy K-degree requirement
|
|
T
max
|
Maximum number of time slots in a time frame
|
|
P
ij
|
Transmission power from node i to node j
|
|
deg
i
|
Degree of node i
|
|
TD
uv
|
The amount of traffic demand from source node u to destination node v
|
|
\( {X}_{ijk}^{\omega t} \)
|
A binary variable which is equal to 1 if the transmission from node i to node j is scheduled in time slot t with frequency channel ω and transmission rate ρk
|
|
\( {P}_{ij}^t \)
|
Transmission power of link eijscheduled in time slot t
|
|
\( {f}_{ijt}^{uv} \)
|
The amount of traffic belongs to traffic session (u, v) ∈ Q passed on link eij in time slot t
|
|
\( {Z}_{ijt}^{uv} \)
|
A binary parameter which is equal to 1 if \( {f}_{ijt}^{uv}\succ 0 \)
|
|
υ(ρk)
|
The amount of transmitted traffic in one time slot at rate ρk
|
|
C
uv
|
End-to-end average throughput of traffic session (u, v) ∈ Q in each time slot
|
|
SF
uv
|
Satisfaction factor for each traffic session (u, v) ∈ Q
|
|
\( {\sigma}_{SF}^2 \)
|
Variance of satisfaction factor
|
|
\( \overset{\_}{SF} \)
|
Average satisfaction factor of all sessions
|
|
\( {\sigma}_{SF}^{2,\max } \)
|
Maximum variance of satisfaction factor
|
|
\( {U}_n^i \)
|
Utilization of node i
|
|
\( {\sigma}_n^2 \)
|
Variance of \( {U}_n^i \)
|
|
\( {\overline{U}}_n \)
|
Average utilization of all nodes
|
|
\( {\sigma}_n^{2,\max } \)
|
Maximum variance of node utilization
|
|
\( {U}_c^{\omega } \)
|
Utilization of channel ω
|
|
\( {\sigma}_c^2 \)
|
Variance of \( {U}_c^{\omega } \)
|
|
\( {\overline{U}}_c \)
|
Average utilization of all channels
|
|
\( {\sigma}_c^{2,\max } \)
|
Maximum variance of channel utilization
|
