3 title = {Linear Programming},
4 publisher = {W.H. Freeman},
11 title = {A largest-distance pivot rule for the simplex algorithm},
13 journal = {European Journal for Operational Research},
20 title = {Partial Pricing Rule Simplex Method with Deficient Basis},
21 author = {P. Pan{,} W. Li{,} and J. Cao},
22 journal = {NUMERICAL MATHEMATICS},
26 note = {A Journal of Chinese Universities}
30 author = {A. Swietanowski},
31 title = {A New Steepest Edge Approximation for the Simplex Method for Linear Programming},
32 journal = {Computat. Optimization and Appl.},
39 author = {P. E. Gill et al.},
40 title = {A pratical anti-cycling procedure for linearly constrained optimization},
41 journal = {Mathematical Programming},
49 title = {Better Performance at Lower Occupancy},
50 note = {Presented at the {GPU} {T}echnology {C}onference 2010 (GTC 2010), San José, California, USA},
51 howpublished = {http://www.eecs.berkeley.edu/$\sim$volkov}
55 author = {K. Kothapalli et al.},
56 title = {A Performance Prediction Model for the {CUDA GPGPU} Platform},
57 institution = {Int'l Inst. of Information Technology, Hyderabad},
62 author = {J. Dongarra and E. Grosse},
63 title = {The {NETLIB} {R}epository at {UTK} and {ORNL}},
64 institution = {The University of Tennessee and Oak Ridge National Lab},
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76 title = {Analysis of mathematical programming problems prior to applying the simplex algorithm},
77 booktitle = {Mathematical Programming 8 (1975) 54-83},
79 publisher = {North-Holland Publishing Company},
84 @InProceedings{BIELING,
85 author = {J. Bieling et al.},
86 title = {An Efficient {GPU} Implementation of the Revised Simplex Method},
87 booktitle = {Proc. of the 24th Int'l Parallel and Distributed Processing Symp.},
88 organization = {IEEE},
93 author = {S. J. Wright},
94 title = {Primal-dual interior-point methods},
100 author = {M. E. Thomadakis and J.-C. Liu},
101 title = {An efficient steepest-edge simplex algorithm for {SIMD} computers},
106 author = {J. A. J. Hall},
107 title = {Towards a practical parallelisation of the simplex method},
112 author = {F. S Hillier and G. J. Lierberman},
113 title = {Introduction to Operations Research},
120 title = {CUDA Compute Unified Device Architecture : Programming Guide},
125 title = {{MPS} file format},
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132 title = {Code source : implmentation du simplexe standard sur {GPU}s},
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137 @TechReport{DANTZIG80,
138 author = {G. B. Dantzig},
139 title = {Expected number of steps of the simplex method for a linear program with a convexity constraint},
140 institution = {Stanford {U}niversity},
144 @MastersThesis{MEYER11,
146 title = {Etude et implémentation de l'algorithme standard du simplexe sur {GPU}s},
147 school = {University of {Geneva}},
152 author = {X. Meyer{,} P. Albuquerque{,} and B. Chopard},
153 title = {A multi-{GPU} implementation and performance model for the standard simplex method},
154 note = {Presented at the 1st Int'l Symp. and 10th Balkan Conf. on Operational Research, BalcOR, Thessaloniki, Greece, Sept. 22-24, 2011},
155 howpublished = {http://spc.unige.ch/lib/exe/fetch.php?media=pub:meyer$\_$balcor2011.pdf}
159 author = {M. E. Lalami{,} D. El-Baz{,} and V. Boyer},
160 title = {Multi-{GPU} Implementation of the Simplex Algorithm},
161 journal = {IEEE International Conference on High Performance Computing and Communications},
167 author = {J. H. Jung and D. P. O'Leary},
168 title = {Implementing an interior point method for linear programs on a {CPU-GPU} system},
169 journal = {Electronic Transactions on Numerical Analysis},
176 author = {D. G. Spampinato{,} A. C. Elster{,} and T. Natvig},
177 title = {Modeling Multi-{GPU} Systems in Parallel Computing: From Multicores and {GPU}'s to Petascale},
178 journal = {Advances in Parallel Computing},
184 @book{dantzig1953product,
185 title={The Product Form for the Inverse in the Simplex Method},
186 author={G. B. Dantzig and W. Orchard-Hays},
187 institution={RAND Corp.},
188 address={Santa Monica, California},
189 url={http://books.google.ch/books?id=XLuttgAACAAJ},
191 publisher={Defense Technical Information Center}
196 @article{Marchand:2002:CPI:772382.772395,
197 author = {Marchand, H. and Martin, A. and Weismantel, R. and Wolsey, L.},
198 title = {Cutting planes in integer and mixed integer programming},
199 journal = {Discrete Appl. Math.},
200 issue_date = {15 November 2002},
208 url = {http://dx.doi.org/10.1016/S0166-218X(01)00348-1},
209 doi = {10.1016/S0166-218X(01)00348-1},
211 publisher = {Elsevier Science Publishers B. V.},
212 address = {Amsterdam, The Netherlands, The Netherlands},
213 keywords = {cutting planes, mixed integer programming},
217 author = {K. Wolter},
218 title = {Implementation of cutting plane separators for mixed integer programs},
219 school = {TU Berlin},
223 @PhdThesis{ACHTERBERG07,
224 author = {T. Achterberg},
225 title = {Constraint integer programming},
226 school = {TU Berlin},
233 journal={Annals of Operations Research},
236 doi={10.1007/BF02025534},
237 title={A fast {LU} update for linear programming},
238 url={http://dx.doi.org/10.1007/BF02025534},
239 publisher={Baltzer Science Publishers, Baarn/Kluwer Academic Publishers},
240 author={L. M. Suhl and U. H. Suhl},
246 author = {D. Goldfarb and J. K. Reid},
247 title = {{A practicable steepest-edge simplex algorithm}},
248 journal = {Mathematical Programming},
253 doi = {10.1007/BF01593804},
260 journal={Mathematical Programming},
263 doi={10.1007/BF01584074},
264 title={Experiments in mixed-integer linear programming},
265 url={http://dx.doi.org/10.1007/BF01584074},
266 publisher={Springer-Verlag},
267 author={M. Benichou et al.},
272 @article{Achterberg05,
273 author = {T. Achterberg{,} T. Koch and A. Martin},
274 title = {Branching rules revisited},
275 journal = {Oper. Res. Lett.},
276 issue_date = {January, 2005},
284 url = {http://dx.doi.org/10.1016/j.orl.2004.04.002},
285 doi = {10.1016/j.orl.2004.04.002},
287 publisher = {Elsevier Science Publishers B. V.},
288 address = {Amsterdam, The Netherlands, The Netherlands},
289 keywords = {Branch-and-bound, Mixed-integer-programming, Pseudocost-branching, Reliability-branching, Strong-branching, Variable selection}
292 @ARTICLE{Linderoth97,
293 author = {J. T. Linderoth and M. W. P. Savelsbergh},
294 title = {A Computational Study of Search Strategies for Mixed Integer Programming},
295 journal = {INFORMS Journal on Computing},
302 title = {Practical Solution of Large Mixed Integer Programming Problems with Umpire},
303 author = {Forrest, J. J. H. and Hirst, J. P. H. and Tomlin, J. A.},
305 journal = {Management Science},
312 author = {Lemke, C. E.},
313 title = {The dual method of solving the linear programming problem},
314 journal = {Naval Research Logistics Quarterly},
317 publisher = {Wiley Subscription Services, Inc., A Wiley Company},
319 url = {http://dx.doi.org/10.1002/nav.3800010107},
320 doi = {10.1002/nav.3800010107},
327 author = {R. H. Bartels and G. H. Golub},
328 title = {The simplex method of linear programming using {LU} decomposition},
329 journal = {Commun. ACM},
330 issue_date = {May 1969},
338 url = {http://doi.acm.org/10.1145/362946.362974},
339 doi = {10.1145/362946.362974},
342 address = {New York, NY, USA},
343 keywords = {LU decomposition, computational stability, linear programming, round-off errors, simplex method}
347 title={Some results on sparse matrices},
348 author={R. K. Brayton{,} F. G. Gustavson{,} and R. A. Willoughby},
349 journal={Mathematics of Computation},