3 title = {Linear Programming},
4 publisher = {W.H. Freeman},
10 title = {A largest-distance pivot rule for the simplex algorithm},
12 journal = {European Journal for Operational Research},
19 title = {Partial Pricing Rule Simplex Method with Deficient Basis},
20 author = {P. Pan{,} W. Li and J. Cao},
21 journal = {NUMERICAL MATHEMATICS},
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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54 author = {K. Kothapalli et al.},
55 title = {A Performance Prediction Model for the {CUDA GPGPU} Platform},
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75 title = {Analysis of mathematical programming problems prior to applying the simplex algorithm},
76 booktitle = {Mathematical Programming 8 (1975) 54-83},
78 publisher = {North-Holland Publishing Company},
83 @InProceedings{BIELING,
84 author = {J. Bieling et al.},
85 title = {An Efficient {GPU} Implementation of the Revised Simplex Method},
86 booktitle = {Proc. of the 24th Int'l Parallel and Distributed Processing Symp.},
87 organization = {IEEE},
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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136 @TechReport{DANTZIG80,
137 author = {G. B. Dantzig},
138 title = {Expected number of steps of the simplex method for a linear program with a convexity constraint},
139 institution = {Stanford {U}niversity},
143 @MastersThesis{MEYER11,
145 title = {Etude et implmentation de l'algorithme standard du simplexe sur {GPU}s},
146 school = {University of {Geneva}},
151 author = {M. E. Lalami{,} D. El-Baz and V. Boyer},
152 title = {Multi GPU Implementation of the Simplex Algorithm},
153 journal = {IEEE International Conference on High Performance Computing and Communications},
159 author = {J. H. Jung and D. P. O'Leary},
160 title = {Implementing an interior point method for linear programs on a CPU-GPU system},
161 journal = {Electronic Transactions on Numerical Analysis},
168 author = {D. G. Spampinato{,} A. C. Elster and T. Natvig},
169 title = {Modeling Multi-GPU Systems in Parallel Computing: From Multicores and GPU's to Petascale},
170 journal = {Advances in Parallel Computing},
176 @book{dantzig1953product,
177 title={The Product Form for the Inverse in the Simplex Method},
178 author={Dantzig, G. B. and Orchard-Hays, W. and RAND Corp. Santa Monica Calif.},
179 url={http://books.google.ch/books?id=XLuttgAACAAJ},
181 publisher={Defense Technical Information Center}
186 @article{Marchand:2002:CPI:772382.772395,
187 author = {Marchand, Hugues and Martin, Alexander and Weismantel, Robert and Wolsey, Laurence},
188 title = {Cutting planes in integer and mixed integer programming},
189 journal = {Discrete Appl. Math.},
190 issue_date = {15 November 2002},
198 url = {http://dx.doi.org/10.1016/S0166-218X(01)00348-1},
199 doi = {10.1016/S0166-218X(01)00348-1},
201 publisher = {Elsevier Science Publishers B. V.},
202 address = {Amsterdam, The Netherlands, The Netherlands},
203 keywords = {cutting planes, mixed integer programming},
207 author = {K. Wolter},
208 title = {Implementation of cutting plane separators for mixed integer programs},
209 school = {TU Berlin},
213 @PhdThesis{ACHTERBERG07,
214 author = {T. Achterberg},
215 title = {Constraint integer programming},
216 school = {TU Berlin},
223 journal={Annals of Operations Research},
226 doi={10.1007/BF02025534},
227 title={A fast LU update for linear programming},
228 url={http://dx.doi.org/10.1007/BF02025534},
229 publisher={Baltzer Science Publishers, Baarn/Kluwer Academic Publishers},
230 author={Suhl, L. M. and Suhl, U. H.},
236 author = {D. Goldfarb and J. K. Reid},
237 title = {{A practicable steepest-edge simplex algorithm}},
238 journal = {Mathematical Programming},
243 doi = {10.1007/BF01593804},
250 journal={Mathematical Programming},
253 doi={10.1007/BF01584074},
254 title={Experiments in mixed-integer linear programming},
255 url={http://dx.doi.org/10.1007/BF01584074},
256 publisher={Springer-Verlag},
257 author={Benichou, M. and Gauthier, J. M. and Girodet, P. and Hentges, G. and Ribiere, G. and Vincent, O.},
262 @article{Achterberg05,
263 author = {Achterberg, T. and Koch, T. and Martin, A.},
264 title = {Branching rules revisited},
265 journal = {Oper. Res. Lett.},
266 issue_date = {January, 2005},
274 url = {http://dx.doi.org/10.1016/j.orl.2004.04.002},
275 doi = {10.1016/j.orl.2004.04.002},
277 publisher = {Elsevier Science Publishers B. V.},
278 address = {Amsterdam, The Netherlands, The Netherlands},
279 keywords = {Branch-and-bound, Mixed-integer-programming, Pseudocost-branching, Reliability-branching, Strong-branching, Variable selection}
282 @ARTICLE{Linderoth97,
283 author = {J. T. Linderoth and M. W. P. Savelsbergh},
284 title = {A Computational Study of Search Strategies for Mixed Integer Programming},
285 journal = {INFORMS Journal on Computing},
292 title = {Practical Solution of Large Mixed Integer Programming Problems with Umpire},
293 author = {Forrest, J. J. H. and Hirst, J. P. H. and Tomlin, J. A.},
295 journal = {Management Science},