author = {V. Chvatal},
title = {Linear Programming},
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year = {1983}
}
@Article{PAN2006,
title = {Partial Pricing Rule Simplex Method with Deficient Basis},
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journal = {NUMERICAL MATHEMATICS},
year = {2006},
volume = {15},
}
@Article{GILL1989,
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title = {A pratical anti-cycling procedure for linearly constrained optimization},
journal = {Mathematical Programming},
year = {1989},
@Misc{VOLKOV2010,
author = {V. Volkov},
title = {Better Performance at Lower Occupancy},
-howpublished = {http://www.cs.berkeley.edu/~volkov/},
-year = {2010}
+note = {Presented at the {GPU} {T}echnology {C}onference 2010 (GTC 2010), San José, California, USA},
+howpublished = {http://www.eecs.berkeley.edu/$\sim$volkov}
}
@TechReport{MODEL,
@Misc{NETBLIB,
author = {J. Dongarra and E. Grosse},
-title = {The {NETLIB} Repository},
+title = {The {NETLIB} {R}epository at {UTK} and {ORNL}},
+institution = {The University of Tennessee and Oak Ridge National Lab},
howpublished = {http://www.netlib.org},
-year = {2010}
}
@Misc{APMTECH,
}
@Book{HILLIER,
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title = {Introduction to Operations Research},
year = {2010},
edition = {9}
@MastersThesis{MEYER11,
author = {X. Meyer},
-title = {Etude et implmentation de l'algorithme standard du simplexe sur {GPU}s},
+title = {Etude et implémentation de l'algorithme standard du simplexe sur {GPU}s},
school = {University of {Geneva}},
-year = {2011},
+year = {2011}
+}
+
+@Misc{MEYER2011,
+author = {X. Meyer{,} P. Albuquerque{,} and B. Chopard},
+title = {A multi-{GPU} implementation and performance model for the standard simplex method},
+note = {Presented at the 1st Int'l Symp. and 10th Balkan Conf. on Operational Research, BalcOR, Thessaloniki, Greece, Sept. 22-24, 2011},
+howpublished = {http://spc.unige.ch/lib/exe/fetch.php?media=pub:meyer$\_$balcor2011.pdf}
}
@Article{LALAMI11,
-author = {M. E. Lalami{,} D. El-Baz and V. Boyer},
-title = {Multi GPU Implementation of the Simplex Algorithm},
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+title = {Multi-{GPU} Implementation of the Simplex Algorithm},
journal = {IEEE International Conference on High Performance Computing and Communications},
year = {2011},
pages = {179-186}
@Article{JUNG08,
author = {J. H. Jung and D. P. O'Leary},
-title = {Implementing an interior point method for linear programs on a CPU-GPU system},
+title = {Implementing an interior point method for linear programs on a {CPU-GPU} system},
journal = {Electronic Transactions on Numerical Analysis},
year = {2008},
pages = {174-189},
}
@Article{ELSTER09,
-author = {D. G. Spampinato{,} A. C. Elster and T. Natvig},
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+author = {D. G. Spampinato{,} A. C. Elster{,} and T. Natvig},
+title = {Modeling Multi-{GPU} Systems in Parallel Computing: From Multicores and {GPU}'s to Petascale},
journal = {Advances in Parallel Computing},
year = {2010},
pages = {562-569},
@book{dantzig1953product,
title={The Product Form for the Inverse in the Simplex Method},
- author={Dantzig, G. B. and Orchard-Hays, W. and RAND Corp. Santa Monica Calif.},
+ author={G. B. Dantzig and W. Orchard-Hays},
+ institution={RAND Corp.},
+ address={Santa Monica, California},
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title = {Cutting planes in integer and mixed integer programming},
journal = {Discrete Appl. Math.},
issue_date = {15 November 2002},
volume={43},
issue={1},
doi={10.1007/BF02025534},
-title={A fast LU update for linear programming},
+title={A fast {LU} update for linear programming},
url={http://dx.doi.org/10.1007/BF02025534},
publisher={Baltzer Science Publishers, Baarn/Kluwer Academic Publishers},
-author={Suhl, L. M. and Suhl, U. H.},
+author={L. M. Suhl and U. H. Suhl},
pages={33-47},
language={English}
}
title={Experiments in mixed-integer linear programming},
url={http://dx.doi.org/10.1007/BF01584074},
publisher={Springer-Verlag},
-author={Benichou, M. and Gauthier, J. M. and Girodet, P. and Hentges, G. and Ribiere, G. and Vincent, O.},
+author={M. Benichou et al.},
pages={76-94},
language={English}
}
@article{Achterberg05,
- author = {Achterberg, T. and Koch, T. and Martin, A.},
+ author = {T. Achterberg{,} T. Koch and A. Martin},
title = {Branching rules revisited},
journal = {Oper. Res. Lett.},
issue_date = {January, 2005},
number = {5},
pages = {736-773}
}
+
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+author = {Lemke, C. E.},
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+journal = {Naval Research Logistics Quarterly},
+volume = {1},
+number = {1},
+publisher = {Wiley Subscription Services, Inc., A Wiley Company},
+issn = {1931-9193},
+url = {http://dx.doi.org/10.1002/nav.3800010107},
+doi = {10.1002/nav.3800010107},
+pages = {36--47},
+year = {1954}
+}
+
+
+@article{BARTELS69,
+ author = {R. H. Bartels and G. H. Golub},
+ title = {The simplex method of linear programming using {LU} decomposition},
+ journal = {Commun. ACM},
+ issue_date = {May 1969},
+ volume = {12},
+ number = {5},
+ month = may,
+ year = {1969},
+ issn = {0001-0782},
+ pages = {266--268},
+ numpages = {3},
+ url = {http://doi.acm.org/10.1145/362946.362974},
+ doi = {10.1145/362946.362974},
+ acmid = {362974},
+ publisher = {ACM},
+ address = {New York, NY, USA},
+ keywords = {LU decomposition, computational stability, linear programming, round-off errors, simplex method}
+}
+
+@article{BRAYTON70,
+ title={Some results on sparse matrices},
+ author={R. K. Brayton{,} F. G. Gustavson{,} and R. A. Willoughby},
+ journal={Mathematics of Computation},
+ volume={24},
+ number={112},
+ pages={937--954},
+ year={1970}
+}
