$f\left(n\left(t\right),t\right)$ | Power consumption in the subnet |

λ | Total number of ports on a router |

C | 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 |