Construction de facettes pour le polytope du sac-à-dos quadratique en 0-1

Alain Faye; Olivier Boyer

RAIRO - Operations Research - Recherche Opérationnelle (2003)

  • Volume: 37, Issue: 4, page 249-271
  • ISSN: 0399-0559

How to cite

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Faye, Alain, and Boyer, Olivier. "Construction de facettes pour le polytope du sac-à-dos quadratique en 0-1." RAIRO - Operations Research - Recherche Opérationnelle 37.4 (2003): 249-271. <http://eudml.org/doc/245825>.

@article{Faye2003,
author = {Faye, Alain, Boyer, Olivier},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
language = {fre},
number = {4},
pages = {249-271},
publisher = {EDP-Sciences},
title = {Construction de facettes pour le polytope du sac-à-dos quadratique en 0-1},
url = {http://eudml.org/doc/245825},
volume = {37},
year = {2003},
}

TY - JOUR
AU - Faye, Alain
AU - Boyer, Olivier
TI - Construction de facettes pour le polytope du sac-à-dos quadratique en 0-1
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 2003
PB - EDP-Sciences
VL - 37
IS - 4
SP - 249
EP - 271
LA - fre
UR - http://eudml.org/doc/245825
ER -

References

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  3. [3] A. Billionnet, A. Faye et E. Soutif, A new upper bound for the 0-1 quadratic knapsack problem. Eur. J. Oper. Res. 112 (1999) 664-672. Zbl0933.90049
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  6. [6] L.F. Escudero, A. Garin et G. Pérez, An O(nlogn) procedure for identifying facets of the knapsack polytope. Oper. Res. Lett. 31 (2003) 211-218. Zbl1042.90035MR1967292
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  10. [10] P. Michelon et L. Veilleux, Lagrangean methods for the 0-1 quadratic knapsack problem. Eur. J. Oper. Res. 92 (1996) 326-341. Zbl0912.90222
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  12. [12] M. Padberg, The boolean quadric polytope: some characteristics, facets and relatives. Math. Program. 45 (1989) 139-172. Zbl0675.90056MR1017216
  13. [13] D.J. Rader, Valid inequalities and facets of the quadratic 0-1 knapsack polytope. Rutcor Research Report 16-97 (1997) 11 p. 
  14. [14] D.J. Rader, Lifting results for the quadratic 0-1 knapsack polytope. Rutcor Research Report 17-97 (1997) 27 p. 
  15. [15] M.G.C. Resende, K.G. Ramakrishnan et Z. Drezner, Computing Lower Bounds for the Quadratic assignment problem with an interior point algorithm for linear programming. Oper. Res. 43 (1995) 781-791. Zbl0843.90068MR1361340
  16. [16] E. Soutif, Résolution du problème de sac-à-dos quadratique en variables bivalentes. Thèse de doctorat du CNAM Paris (2000). 
  17. [17] E. Zemel, Lifting the facets of zero-one polytopes. Math. Program. 15 (1978) 268-277. Zbl0428.90042MR514612

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