Optimal Scheduling for UET/UET-UCT Generalizedn-Dimensional Grid Task Graphs

Andronikos, T; Koziris, N; Papakonstantinou, G; Tsanakas, P

dc.contributor.author	Andronikos, T	en
dc.contributor.author	Koziris, N	en
dc.contributor.author	Papakonstantinou, G	en
dc.contributor.author	Tsanakas, P	en
dc.date.accessioned	2014-03-01T01:15:01Z
dc.date.available	2014-03-01T01:15:01Z
dc.date.issued	1999	en
dc.identifier.issn	0743-7315	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13289
dc.subject	Grids	en
dc.subject	Makespan	en
dc.subject	Optimal number of processors	en
dc.subject	UET-UCT scheduling	en
dc.subject.classification	Computer Science, Theory & Methods	en
dc.subject.other	SIZE SYSTOLIC ARRAYS	en
dc.subject.other	COMMUNICATION DELAYS	en
dc.subject.other	ALGORITHMS	en
dc.title	Optimal Scheduling for UET/UET-UCT Generalizedn-Dimensional Grid Task Graphs	en
heal.type	journalArticle	en
heal.identifier.primary	10.1006/jpdc.1999.1530	en
heal.identifier.secondary	http://dx.doi.org/10.1006/jpdc.1999.1530	en
heal.language	English	en
heal.publicationDate	1999	en
heal.abstract	The ii-dimensional grid is one of the most representative patterns of data now in parallel computation. Many scientific algorithms, which require nearest neighbor communication in a lattice space, are modeled by a task graph with the properties of a simple or enhanced grid. The two most frequently used scheduling models for grids are the unit execution time-zero communication delay (UET) and the unit execution time-unit communication time (UET-UCT). In this paper we introduce an enhanced model of the ii-dimensional grid by adding extra diagonal edges and allowing unequal boundaries for each dimension. For this generalized grid topology we establish the optimal makespan for both cases of UET/UET-UCT grids. Then we give a closed formula that calculates the minimum number of processors required to achieve the optimal makespan. Finally, we propose a low-complexity optimal time and processor scheduling strategy for both cases. (C) 1999 Academic Press.	en
heal.publisher	ACADEMIC PRESS INC	en
heal.journalName	Journal of Parallel and Distributed Computing	en
dc.identifier.doi	10.1006/jpdc.1999.1530	en
dc.identifier.isi	ISI:000080180900002	en
dc.identifier.volume	57	en
dc.identifier.issue	2	en
dc.identifier.spage	140	en
dc.identifier.epage	165	en