Parallel Fourier-Motzkin elimination
Identifieur interne : 000284 ( LNCS/Analysis ); précédent : 000283; suivant : 000285Parallel Fourier-Motzkin elimination
Auteurs : C. W. Kessler [Allemagne]Source :
- Lecture notes in computer science [ 0302-9743 ] ; 1996.
Descripteurs français
- Pascal (Inist)
English descriptors
- KwdEn :
Abstract
Fourier-Motzkin elimination is a computationally expensive but powerful method to solve a system of linear inequalities for real and integer solution spaces. Because it yields an explicit representation of the solution set, in contrast to other methods such as Simplex, one may, in some cases, take its longer run time into account. We show in this paper that it is possible to considerably speed up Fourier-Motzkin elimination by massively parallel processing. We present a parallel implementation for a shared memory parallel computer, and sketch several variants for distributed memory parallelization.
Affiliations:
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Pascal:97-0133308Le document en format XML
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<keywords scheme="Pascal" xml:lang="fr"><term>Résolution problème</term>
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<front><div type="abstract" xml:lang="en">Fourier-Motzkin elimination is a computationally expensive but powerful method to solve a system of linear inequalities for real and integer solution spaces. Because it yields an explicit representation of the solution set, in contrast to other methods such as Simplex, one may, in some cases, take its longer run time into account. We show in this paper that it is possible to considerably speed up Fourier-Motzkin elimination by massively parallel processing. We present a parallel implementation for a shared memory parallel computer, and sketch several variants for distributed memory parallelization.</div>
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