N

Set of all vector nodes.

N_x

Set of neighbor nodes of node x, where ( $x\in N$ ).

T

Set of OLTs.

P

Set of PONs representing a splitter/coupler connecting group of homes.

G

Set of Gateways at central office connecting OLTs with ISPs.

O

Set of ONT Units connecting homes.

A

Set of access ports.

C

Wavelength capacity in the upstream flow from a PON to an OLT port.

${\lambda }^{ij}$

Data rate demand between every pair of source and destination $\left(i,j\right)$ .

$\phi$

Denotes power consumption of an ONU.

$\Phi$

Denotes power consumption of an OLT chassis.

$\nabla$

Denotes power consumption of OLT’s controller card (Local Manager).

$\Gamma$

Denotes power consumption of an OLT AM port.

$\mathcal{M}$

Large Multiplication constant, $\mathcal{M}=1000$ .

Κ

Small Multiplication constant, $K=10$ .

$\left(s,d\right)$

Denotes source and destination vector nodes.

$\left(x,n\right)$

Denotes end points of a physical link.