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19 title = {Partial Pricing Rule Simplex Method with Deficient Basis},
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25 note = {A Journal of Chinese Universities}
29 author = {A. Swietanowski},
30 title = {A New Steepest Edge Approximation for the Simplex Method for Linear Programming},
31 journal = {Computat. Optimization and Appl.},
38 author = {P. E. Gill et al.},
39 title = {A pratical anti-cycling procedure for linearly constrained optimization},
40 journal = {Mathematical Programming},
48 title = {Better Performance at Lower Occupancy},
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55 title = {A Performance Prediction Model for the {CUDA GPGPU} Platform},
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85 title = {An Efficient {GPU} Implementation of the Revised Simplex Method},
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92 author = {S. J. Wright},
93 title = {Primal-dual interior-point methods},
99 author = {M. E. Thomadakis and J.-C. Liu},
100 title = {An efficient steepest-edge simplex algorithm for {SIMD} computers},
105 author = {J. A. J. Hall},
106 title = {Towards a practical parallelisation of the simplex method},
111 author = {F. S Hillier and G. J. Lierberman},
112 title = {Introduction to Operations Research},
119 title = {CUDA Compute Unified Device Architecture : Programming Guide},
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131 title = {Code source : implmentation du simplexe standard sur {GPU}s},
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138 title = {Expected number of steps of the simplex method for a linear program with a convexity constraint},
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143 @MastersThesis{MEYER11,
145 title = {Etude et implmentation de l'algorithme standard du simplexe sur {GPU}s},
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150 @InProceedings{MEYER2011,
151 author = {X. Meyer{,} P. Albuquerque and B. Chopard},
152 title = {A multi-{GPU} implementation and performance model for the standard simplex method},
153 booktitle = {Proc. of the 1st Int'l Symp. and 10th Balkan Conf. on Operational Research, BalcOR},
158 author = {M. E. Lalami{,} D. El-Baz and V. Boyer},
159 title = {Multi-{GPU} Implementation of the Simplex Algorithm},
160 journal = {IEEE International Conference on High Performance Computing and Communications},
166 author = {J. H. Jung and D. P. O'Leary},
167 title = {Implementing an interior point method for linear programs on a {CPU-GPU} system},
168 journal = {Electronic Transactions on Numerical Analysis},
175 author = {D. G. Spampinato{,} A. C. Elster and T. Natvig},
176 title = {Modeling Multi-{GPU} Systems in Parallel Computing: From Multicores and {GPU}'s to Petascale},
177 journal = {Advances in Parallel Computing},
183 @book{dantzig1953product,
184 title={The Product Form for the Inverse in the Simplex Method},
185 author={G. B. Dantzig and W. Orchard-Hays},
186 institution={RAND Corp.},
187 address={Santa Monica, California},
188 url={http://books.google.ch/books?id=XLuttgAACAAJ},
190 publisher={Defense Technical Information Center}
195 @article{Marchand:2002:CPI:772382.772395,
196 author = {Marchand, H. and Martin, A. and Weismantel, R. and Wolsey, L.},
197 title = {Cutting planes in integer and mixed integer programming},
198 journal = {Discrete Appl. Math.},
199 issue_date = {15 November 2002},
207 url = {http://dx.doi.org/10.1016/S0166-218X(01)00348-1},
208 doi = {10.1016/S0166-218X(01)00348-1},
210 publisher = {Elsevier Science Publishers B. V.},
211 address = {Amsterdam, The Netherlands, The Netherlands},
212 keywords = {cutting planes, mixed integer programming},
216 author = {K. Wolter},
217 title = {Implementation of cutting plane separators for mixed integer programs},
218 school = {TU Berlin},
222 @PhdThesis{ACHTERBERG07,
223 author = {T. Achterberg},
224 title = {Constraint integer programming},
225 school = {TU Berlin},
232 journal={Annals of Operations Research},
235 doi={10.1007/BF02025534},
236 title={A fast {LU} update for linear programming},
237 url={http://dx.doi.org/10.1007/BF02025534},
238 publisher={Baltzer Science Publishers, Baarn/Kluwer Academic Publishers},
239 author={L. M. Suhl and U. H. Suhl},
245 author = {D. Goldfarb and J. K. Reid},
246 title = {{A practicable steepest-edge simplex algorithm}},
247 journal = {Mathematical Programming},
252 doi = {10.1007/BF01593804},
259 journal={Mathematical Programming},
262 doi={10.1007/BF01584074},
263 title={Experiments in mixed-integer linear programming},
264 url={http://dx.doi.org/10.1007/BF01584074},
265 publisher={Springer-Verlag},
266 author={M. Benichou et al.},
271 @article{Achterberg05,
272 author = {T. Achterberg{,} T. Koch and A. Martin},
273 title = {Branching rules revisited},
274 journal = {Oper. Res. Lett.},
275 issue_date = {January, 2005},
283 url = {http://dx.doi.org/10.1016/j.orl.2004.04.002},
284 doi = {10.1016/j.orl.2004.04.002},
286 publisher = {Elsevier Science Publishers B. V.},
287 address = {Amsterdam, The Netherlands, The Netherlands},
288 keywords = {Branch-and-bound, Mixed-integer-programming, Pseudocost-branching, Reliability-branching, Strong-branching, Variable selection}
291 @ARTICLE{Linderoth97,
292 author = {J. T. Linderoth and M. W. P. Savelsbergh},
293 title = {A Computational Study of Search Strategies for Mixed Integer Programming},
294 journal = {INFORMS Journal on Computing},
301 title = {Practical Solution of Large Mixed Integer Programming Problems with Umpire},
302 author = {Forrest, J. J. H. and Hirst, J. P. H. and Tomlin, J. A.},
304 journal = {Management Science},
311 author = {Lemke, C. E.},
312 title = {The dual method of solving the linear programming problem},
313 journal = {Naval Research Logistics Quarterly},
316 publisher = {Wiley Subscription Services, Inc., A Wiley Company},
318 url = {http://dx.doi.org/10.1002/nav.3800010107},
319 doi = {10.1002/nav.3800010107},
326 author = {R. H. Bartels and G. H. Golub},
327 title = {The simplex method of linear programming using {LU} decomposition},
328 journal = {Commun. ACM},
329 issue_date = {May 1969},
337 url = {http://doi.acm.org/10.1145/362946.362974},
338 doi = {10.1145/362946.362974},
341 address = {New York, NY, USA},
342 keywords = {LU decomposition, computational stability, linear programming, round-off errors, simplex method}
346 title={Some results on sparse matrices},
347 author={R. K. Brayton{,} F. G. Gustavson and R. A. Willoughby},
348 journal={Mathematics of Computation},