NDLI: Near-optimal communication-time tradeoff in fault-tolerant computation of aggregate functions

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Near-optimal communication-time tradeoff in fault-tolerant computation of aggregate functions

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Near-optimal communication-time tradeoff in fault-tolerant computation of aggregate functions

Content Provider	ACM Digital Library
Author	Yu, Haifeng Zhao, Yuda Chen, Binbin
Abstract	This paper considers the problem of computing general commutative and associative aggregate functions (such as Sum) over distributed inputs held by nodes in a distributed system, while tolerating failures. Specifically, there are \$N\$ nodes in the system, and the topology among them is modeled as a general undirected graph. Whenever a node sends a message, the message is received by all of its neighbors in the graph. Each node has an input, and the goal is for a special root node (e.g., the base station in wireless sensor networks or the gateway node in wireless ad hoc networks) to learn a certain commutative and associate aggregate of all these inputs. All nodes in the system except the root node may experience crash failures, with the total number of edges incidental to failed nodes being upper bounded by f. The timing model is synchronous where protocols proceed in rounds. Within such a context, we focus on the following question: Under any given constraint on time complexity, what is the lowest communication complexity, in terms of the number of bits sent (i.e., locally broadcast) by each node, needed for computing general commutative and associate aggregate functions? This work, for the first time, reduces the gap between the upper bound and the lower bound for the above question from polynomial to polylog. To achieve this reduction, we present significant improvements over both the existing upper bounds and the existing lower bounds on the problem.
Starting Page	416
Ending Page	426
Page Count	11
File Format	PDF
ISBN	9781450329446
DOI	10.1145/2611462.2611475
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2014-07-15
Publisher Place	New York
Access Restriction	Subscribed
Subject Keyword	Aggregate functions Fault tolerance Communication-time tradeoff Communication complexity Time complexity
Content Type	Text
Resource Type	Article

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