$f\left(n\left(t\right),t\right)$

Power consumption in the subnet

λ_max

Total number of ports on a router

C_i

Overall energy of the router

$a\mathcal{l}\left(t\right)+b$

Gain of energy obtained during the deactivation of the ports

$f\left(k\left(i,j,t\right)\right)$

The state of ports in s/networks at time t

q

Quality of service perceived by the user

F(t)

Set of all requests at the moment t

$f_{s,p}\left(t\right)\in F\left(t\right)$

Observed request of a user at the instant t from a point s to p

$R\left(F\left(t\right)\right)$

Routing of all requests at time t (see the routing algorithm)

$n\left(t\right)\subseteq N\left(t\right)$

The subnet included in the network at time t

$Q\left(f\left(t\right)\right)$

Quality of service set to not exceeded for all requests observed