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2019 | OriginalPaper | Chapter

Parallel Parametric Linear Programming Solving, and Application to Polyhedral Computations

Authors : Camille Coti, David Monniaux, Hang Yu

Published in: Computational Science – ICCS 2019

Publisher: Springer International Publishing

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Abstract

Parametric linear programming is central in polyhedral computations and in certain control applications. We propose a task-based scheme for parallelizing it, with quasi-linear speedup over large problems.

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Footnotes
1
There exists another flavor of PLP with parameters in the right-hand sides of the constraints.
 
Literature
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OpenMP Application Programming Interface, 4.5 edn. (2015)
2.
Cappello, F., et al: Grid’5000: a large scale and highly reconfigurable grid experimental testbed. In: International Workshop on Grid Computing. IEEE/ACM (2005)
3.
Cousot, P., Halbwachs, N.: Automatic discovery of linear restraints among variables of a program. In: POPL, pp. 84–96. ACM Press (1978)
4.
Jones, C., et al.: On polyhedral projections and parametric programming. J. Optim. Theory Appl. 138(2), 207–220 (2008)MathSciNetCrossRef
5.
Jones, C.N., Kerrigan, E.C., Maciejowski, J.M.: Lexicographic perturbation for multiparametric linear programming with applications to control. Automatica 43, 1808 (2007)MathSciNetCrossRef
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8.
Reinders, J.: Intel Threading Building Blocks: Outfitting C++ for Multi-core Processor Parallelism. O’Reilly Media Inc., Sebastopol (2007)
Metadata
Title
Parallel Parametric Linear Programming Solving, and Application to Polyhedral Computations
Authors
Camille Coti
David Monniaux
Hang Yu
Copyright Year
2019
Book
Computational Science – ICCS 2019

Print ISBN: 978-3-030-22749-4

Electronic ISBN: 978-3-030-22750-0

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-030-22750-0_52

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