arrow
Return

Distributed Anonymous Discrete Function Computation

delete2011-10-01
delete39
delete
OA
AI
J
Julien M. Hendrickx *
A
Alex Olshevsky
J
John N. Tsitsiklis
DOI:10.1109/TAC.2011.2163874delete
deleteOriginal
deleteOriginal request for help
deleteShare
deleteSave
Abstract

Abstract

En 中文
We propose a model for deterministic distributed function computation by a network of identical and anonymous nodes. In this model, each node has bounded computation and storage capabilities that do not grow with the network size. Furthermore, each node only knows its neighbors, not the entire graph. Our goal is to characterize the class of functions that can be computed within this model. In our main result, we provide a necessary condition for computability which we show to be nearly sufficient, in the sense that every function that violates this condition can at least be approximated. The problem of computing (suitably rounded) averages in a distributed manner plays a central role in our development; we provide an algorithm that solves it in time that grows quadratically with the size of the network.
Keywords:
Averaging algorithms
distributed computing
distributed control

Journal

IEEE Transactions on Automatic Control cover
IEEE Transactions on Automatic Control
IF:
7
Papers:
1.3W
Citations:
6.7W

Organization

P
Princeton University
Scholars:
2.1W
Papers: 2.3W
Citations: 5.1W
U
universite catholique louvain
Scholars:
2.0W
Papers: 1.7W
Citations: 21