Quelques expériences numériques sur la programmation non linéaire en nombres entiers

J. Abadie; H. Dayan; J. Akoka

RAIRO - Operations Research - Recherche Opérationnelle (1976)

  • Volume: 10, Issue: V3, page 65-70
  • ISSN: 0399-0559

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Abadie, J., Dayan, H., and Akoka, J.. "Quelques expériences numériques sur la programmation non linéaire en nombres entiers." RAIRO - Operations Research - Recherche Opérationnelle 10.V3 (1976): 65-70. <http://eudml.org/doc/104648>.

@article{Abadie1976,
author = {Abadie, J., Dayan, H., Akoka, J.},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
language = {fre},
number = {V3},
pages = {65-70},
publisher = {EDP-Sciences},
title = {Quelques expériences numériques sur la programmation non linéaire en nombres entiers},
url = {http://eudml.org/doc/104648},
volume = {10},
year = {1976},
}

TY - JOUR
AU - Abadie, J.
AU - Dayan, H.
AU - Akoka, J.
TI - Quelques expériences numériques sur la programmation non linéaire en nombres entiers
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1976
PB - EDP-Sciences
VL - 10
IS - V3
SP - 65
EP - 70
LA - fre
UR - http://eudml.org/doc/104648
ER -

References

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  1. 1. J. ABADIE, Une méthode arborescente pour les programmes partiellement discrets,R.I.R.O., 3e année, V 3, 1969, p. 24-50. Zbl0193.18801MR269302
  2. 2. J. ABADIE, Une méthode de résolution des programmes non linéaires partiellement discrets sans hypothèse de convexité, R.I.R.O., 5e année, V I , 1971, p. 23-38. Zbl0304.90085MR314459
  3. 3. J. ABADIE et J. CARPENTIER, Generalization of the Wolfe Reduced Gradient Method to the Case of Nonlinear Constraints, in Optimization, R. Fletcher, ed., Academic Press, New York, 1969. Zbl0254.90049MR284206
  4. 4. J. ABADIE et J. GUIGOU, Numerical Experiments with the GRG Method, in Integer and Nonlinear Programming, J.Abadie, ed., North-Holland Publishing Company, Amsterdam, 1970. Zbl0331.65041MR441347
  5. 5. E. M. L. BEALE et R. E. SMALL, Mixed Integer Programming by a Branch and Bound Technique, in Proceedings of the IFIP Congress 1965, p. 450-451, W. A. Kalenich, ed., Spartan Press, Washington D. C , 1965. 
  6. 6. J. BRACKEN et G. P. MCCORMICK, Selected Applications of Nonlinear Programming, Wiley, New York, 1968. Zbl0194.20502MR233590
  7. 7. A. R. COLVILLE, A Comparative Study of Nonlinear Programming Codes, IBM NYSC Report 320-2949, 1968. 
  8. 8. A. R. COLVILLE, A Comparative Study of Nonlinear Programming Codes, p. 487-502, in Proceedings of the Princeton Symposium on Mathematical Programming H. W. Kuhn, ed., Princeton University Press, 1970. Zbl0224.90069MR325248
  9. 9. R. J. DAKIN, A Tree-Search Algorithm for Mixed Integer Problems, The Computer Journal, vol. 8, 1965, p. 250-255. Zbl0154.42004MR187937
  10. 10. N. J. DRIEBECK, An Algorithm for the Solution of Mixed Integer Programming Problems, Management Science, vol. 12, 1966, p. 576-587. 
  11. 11. P. L. HAMMER et S. RUDEANU, Méthodes booléennes en recherche opérationnelle, Dunod, Paris, 1970. Zbl0214.18603MR260409
  12. 12. D. M. HIMMELBLAU, Applied Nonlinear Programming, McGraw-Hill, New York, 1972. Zbl0241.90051
  13. 13. A. H. LAND et A. G. DOIG, An Automatic Method of Solving Discrete Programming Problems, Econometrica, vol. 28, 1960, p. 497-520. Zbl0101.37004MR115825
  14. 14. P. LE FAOU, Une méthode arborescente pour la résolution des programmes linéaires partiellement en nombres entiers, Thèse de 3e cycle, Université Paris VI, Paris, 1973. 
  15. 15. J. D. C. LITTLE, K. C. MURTY, D. W. SWEENEY et C. KAREL, An Algorithm for the Traveling Salesman Problem, Operations Research, vol. 11, 1963, p. 972-989. Zbl0161.39305
  16. 16. J. C. T. MAO, Quantitative Analysis of Financial Decisions, The MacMillan Company, Collier-MacMillan Limited, Londres, 1969. 
  17. 17. J. B. ROSEN et S. SUZUKI, Construction of Nonlinear Programming Test Problems, Commun. A.C.M., vol. 8, 1965, p. 113. 
  18. 18. B. ROY, R. BENAYOUN et J. TERGNY, From S.E.P. Procedure to the Mixed OPHELIE Program, in Integer and Nonlinear Programming, J. Abadie, ed., North-Holland Publishing Company, Amsterdam, 1970. Zbl0334.90044MR437034
  19. 19. J. A. TOMLIN, Branch and Bound Methods for Integer and Non-Convex Programming, in Integer and Nonlinear Programming, J. Abadie, ed., North-Holland Publishing Company, Amsterdam, 1970. Zbl0336.90038MR437037

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