\section{Best effort strategy}
\label{Best-effort}
-We will describe here a new load-balancing strategy that we called
-\emph{best effort}. The general idea behind this strategy is, for a
-processor, to send some load to the most of its neighbors, doing its
+In this section we describe a new load-balancing strategy that we call
+\emph{best effort}. The general idea behind this strategy is that each
+processor, that detects it has more load than some of its neighbors,
+sends some load to the most of its less loaded neighbors, doing its
best to reach the equilibrium between those neighbors and himself.
-More precisely, when a processors $i$ is in its load-balancing phase,
+More precisely, when a processor $i$ is in its load-balancing phase,
he proceeds as following.
\begin{enumerate}
\item First, the neighbors are sorted in non-decreasing order of their
