This step includes choosing the Wireless Sensor Node Leader (WSNL)
which will be responsible of executing coverage algorithm. Each
subregion in the area of interest will select its own WSNL
-independently for each round. All the sensor nodes cooperates to
+independently for each round. All the sensor nodes cooperate to
select WSNL. The nodes in the same subregion will select the leader
based on the received information from all other nodes in the same
subregion. The selection criteria in order of priority are: larger
preserve maximal coverage in the region of interest. We will assume
that the cost of keeping a node awake (or sleep) for sensing task is
the same for all wireless sensor nodes in the network. Each sensor
-will receive an Active-Sleep packet from WSNL telling him to stay
+will receive an Active-Sleep packet from WSNL informing it to stay
awake or go sleep for a time equal to the period of sensing until
starting a new round.
\right.
\end{equation}
\begin{itemize}
-\item $X_{j}$ : indicates whether or not sensor $j$ is actively
+\item $X_{j}$ : indicates whether or not the sensor $j$ is actively
sensing in the round (1 if yes and 0 if not);
\item $\Theta_{p}$ : {\it overcoverage}, the number of sensors minus
one that are covering point $p$;