+\begin{abstract}
+ Most of the time, asynchronous load balancing algorithms have extensively been
+ studied in a theoretical point of view. The Bertsekas and Tsitsiklis'
+ algorithm~\cite[section~7.4]{bertsekas+tsitsiklis.1997.parallel} is certainly
+ the most well known algorithm for which the convergence proof is given. From a
+ practical point of view, when a node wants to balance a part of its load to
+ some of its neighbors, the strategy is not described. In this paper, we
+ propose a strategy called \emph{best effort} which tries to balance the load
+ of a node to all its less loaded neighbors while ensuring that all the nodes
+ concerned by the load balancing phase have the same amount of load. Moreover,
+ asynchronous iterative algorithms in which an asynchronous load balancing
+ algorithm is implemented most of the time can dissociate messages concerning
+ load transfers and message concerning load information. In order to increase
+ the converge of a load balancing algorithm, we propose a simple heuristic
+ called \emph{virtual load} which allows a node that receives a load
+ information message to integrate the load that it will receive later in its
+ load (virtually) and consequently sends a (real) part of its load to some of
+ its neighbors. In order to validate our approaches, we have defined a
+ simulator based on SimGrid which allowed us to conduct many experiments.
