Laurent Feuilloley, Juho Hirvonen Jukka Suomela

*DISC 2015: 29th International Symposium on Distributed Computing, Tokyo, Japan, October 2015*

doi:10.1007/978-3-662-48653-5_36

Laurent Feuilloley, Juho Hirvonen Jukka Suomela

*DISC 2015: 29th International Symposium on Distributed Computing, Tokyo, Japan, October 2015*

doi:10.1007/978-3-662-48653-5_36

This work studies distributed algorithms for *locally
optimal load-balancing*: We are given a graph of maximum
degree $\Delta$, and each node has up to $L$ units of load.
The task is to distribute the load more evenly so that the loads
of adjacent nodes differ by at most 1.

If the graph is a path ($\Delta = 2$), it is easy to solve
the *fractional* version of the problem in $O(L)$
communication rounds, independently of the number of nodes.
We show that this is tight, and we show that it is possible to
solve also the *discrete* version of the problem in
$O(L)$ rounds in paths.

For the general case ($\Delta > 2$), we show that fractional load balancing can be solved in $\operatorname{poly}(L,\Delta)$ rounds and discrete load balancing in $f(L,\Delta)$ rounds for some function $f$, independently of the number of nodes.

The talk at DISC was given by Juho Hirvonen. I gave a talk about
this paper at the annual meeting of the CNRS's GT COA. I presented
the poster at another CNRS event (JournÃ©es du GdR IM), and at
the seminar of the PHD students of the French Computer Science society
(SIF).