X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/loba-papers.git/blobdiff_plain/77e9f12f5c910b23fb1692d8e1c33b6910fe6e9c..499377296c4679d5c97e63f9b61675727749a6c8:/supercomp11/supercomp11.tex

diff --git a/supercomp11/supercomp11.tex b/supercomp11/supercomp11.tex
index d03a1d5..b321468 100644
--- a/supercomp11/supercomp11.tex
+++ b/supercomp11/supercomp11.tex
@@ -189,11 +189,14 @@ $3$.   If  it  sends  load  to  processor $1$  it  will  not  satisfy  condition
 $x_3^2(t)$.  So we consider that the \emph{ping-pong} condition is probably to
 strong. Currently, we did not try to make another convergence proof without this
 condition or with a weaker condition.
-%
-\FIXME{Develop: We have the feeling that such a weaker condition
-  exists, because (it's not a proof, but) we have never seen any
-  scenario that is not leading to convergence, even with LB-strategies
-  that are not fulfilling these two conditions.}
+
+Nevertheless, we conjecture that such a weaker condition exists.  In fact, we
+have never seen any scenario that is not leading to convergence, even with
+load-balancing strategies that are not exactly fulfilling these two conditions.
+
+It may be the subject of future work to express weaker conditions, and to prove
+that they are sufficient to ensure the convergence of the load-balancing
+algorithm.
 
 \section{Best effort strategy}
 \label{Best-effort}
@@ -647,11 +650,11 @@ On constate quoi (vÃ©rifier avec les chiffres)?
 
 \item volume de comm? souvent, besteffort/plain en fait plus. pourquoi?
 
+\item rÃ©partition initiale de la charge ?
+
 \item integer mode sur topo. line n'a jamais fini en plain? vÃ©rifier si ce n'est
   pas Ã  cause de l'effet d'escalier que bk est capable de gommer.
 
-\item rÃ©partition initiale de la charge ?
-
 \end{itemize}
 
 \begin{itshape}
@@ -692,6 +695,7 @@ Taille : 10 100 trÃ¨s gros
   the MÃ©socentre de calcul de Franche-ComtÃ©.
 \end{acknowledgements}
 
+\FIXME{find and add more references}
 \bibliographystyle{spmpsci}
 \bibliography{biblio}
 
