$\mathcal{G}=(\mathcal{V},\mathcal{E})$ with $n$ nodes and $m$ edges having demand at a node $i$ in
$\mathcal{V}$ given by $d_i$. Here, $\mathcal{V}$ indicates set of nodes and $\mathcal{E}$ indicates set of edges in the topology. A link would exist in the topology between node $i$ and node
$j$, if they are in the communication range of each-other satisfying constraint,
\begin{equation}
P_i - PL_{(i,j)}\geq\delta_j; \forall (i,j)\in\mathcal{V}.
\label{eqn:radio sensitivity}
\end{equation}
In equation~\ref{eqn:radio sensitivity}, $P_i$ is the transmit power (in dBm) at node $i$, $PL_{(i,j)}$ (in dB) is the pathloss between node $i$ and node $j$ and $\delta_j$ …show more content…
A relay is not equipped with satellite and terrestrial antennas but routes tree nodes' video traffic using the WiFi (802.11n) link from source nodes.
If nodes communicate over WiFi (802.11n) then connectivity is formed on orthogonal channel using pair of 802.11n routers. However,if nodes communicate over LTE, it share resources over a single channel.
For sake of simplicity following assumption is made:
\begin{itemize}
\item Satellite/terrestrial communication has sufficient bandwidth to satisfy the requirements of all households in the locality. \item Households equipped with satellite and terrestrial antenna do not contend for WiFi (802.11n) resources. Instead of contending for resources over WIFi these households can get video content over a cable. \item Resources are shared between all interference links if they are using non-orthogonal channels. \item Pico cell are having fixed serving capability. \item Each household demand depends upon the subscription of channels and concurrent active IP/digital TV users.
\end{itemize}
Considering these assumption and system model, a multicommodity flow is formulated to find optimal