Scheduling for Independent-Task Applications on Heterogeneous Parallel Computing Environments under the Unidirectional One-Port Model

Fukuhito OOSHITA  Susumu MATSUMAE  Toshimitsu MASUZAWA  

Publication
IEICE TRANSACTIONS on Information and Systems   Vol.E90-D   No.2   pp.403-417
Publication Date: 2007/02/01
Online ISSN: 1745-1361
DOI: 10.1093/ietisy/e90-d.2.403
Print ISSN: 0916-8532
Type of Manuscript: Special Section PAPER (Special Section on Foundations of Computer Science)
Category: Parallel and Distributed Computing
Keyword: 
heterogeneous parallel computing environment,  independent task,  scheduling algorithm,  steady state,  collective communication,  

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Summary: 
For execution of computation-intensive applications, one of the most important paradigms is to divide the application into a large number of small independent tasks and execute them on heterogeneous parallel computing environments (abbreviated by HPCEs). In this paper, we aim to execute independent tasks efficiently on HPCEs. We consider the problem to find a schedule that maximizes the throughput of task execution for a huge number of independent tasks. First, for HPCEs where the network forms a directed acyclic graph, we show that we can find, in polynomial time, a schedule that attains the optimal throughput. Secondly, for arbitrary HPCEs, we propose an (+ε)-approximation algorithm for any constant ε(ε>0). In addition, we also show that the framework of our approximation algorithm can be applied to other collective communications such as the gather operation.