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I/O-Optimal Distribution Sweeping on Private-Cache Chip Multiprocessors
Author(s)
Date Issued
2011-09-08
Date Available
2019-04-10T12:10:34Z
Abstract
The parallel external memory (PEM) model has been used as a basis for the design and analysis of a wide range of algorithms for private-cache multi-core architectures. As a tool for developing geometric algorithms in this model, a parallel version of the I/O-efficient distribution sweeping framework was introduced recently, and a number of algorithms for problems on axis-aligned objects were obtained using this framework. The obtained algorithms were efficient but not optimal. In this paper, we improve the framework to obtain algorithms with the optimal I/O complexity of O(sort P(N) + K/PB) for a number of problems on axis-aligned objects, P denotes the number of cores/processors, B denotes the number of elements that fit in a cache line, N and K denote the sizes of the input and output, respectively, and sort P(N) denotes the I/O complexity of sorting N items using P processors in the PEM model. To obtain the above improvement, we present a new one-dimensional batched range counting algorithm on a sorted list of ranges and points that achieves an I/O complexity of O((N + K)/PB), where K is the sum of the counts of all the ranges. The key to achieving efficient load balancing among the processors in this algorithm is a new method to count the output without enumerating it, which might be of independent interest.
Other Sponsorship
MADALGO, Center for Massive Data Algorithmics, a center of the Danish National Research Foundation
Natural Sciences and Engineering Research Council of Canada
Canada Research Chairs programme
Type of Material
Conference Publication
Publisher
IEEE
Copyright (Published Version)
2011 IEEE
Language
English
Status of Item
Not peer reviewed
Part of
2011 IEEE International Parallel & Distributed Processing Symposium (IPDPS): 16-20 May 2011, Anchorage, Alaska, USA
Conference Details
The 2011 IEEE International Parallel & Distributed Processing Symposium (IPDPS), Anchorage, Alaska, 16-20 May 2011
ISBN
9780769543857
This item is made available under a Creative Commons License
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