Méthodes d'optimisation pour un problème de théorie des nombres

G. Robin

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (1983)

  • Volume: 17, Issue: 3, page 239-247
  • ISSN: 0988-3754

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Robin, G.. "Méthodes d'optimisation pour un problème de théorie des nombres." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 17.3 (1983): 239-247. <http://eudml.org/doc/92187>.

@article{Robin1983,
author = {Robin, G.},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},
keywords = {generalized Lagrange multipliers method; Everett theorem; Nicolas benefit method; table; integer programming; nonlinear programming; dynamic programming; highly composite numbers},
language = {fre},
number = {3},
pages = {239-247},
publisher = {EDP-Sciences},
title = {Méthodes d'optimisation pour un problème de théorie des nombres},
url = {http://eudml.org/doc/92187},
volume = {17},
year = {1983},
}

TY - JOUR
AU - Robin, G.
TI - Méthodes d'optimisation pour un problème de théorie des nombres
JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY - 1983
PB - EDP-Sciences
VL - 17
IS - 3
SP - 239
EP - 247
LA - fre
KW - generalized Lagrange multipliers method; Everett theorem; Nicolas benefit method; table; integer programming; nonlinear programming; dynamic programming; highly composite numbers
UR - http://eudml.org/doc/92187
ER -

References

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  1. 1. L. ALAOGLU et P. ERDÖS, On Highly Composite and Similar Numbers, Trans. Amer. Math. Soc., vol. 56, 1944, p. 448-469. Zbl0061.07903MR11087
  2. 2. P. ERDÖS, On Highly Composite Numbers, J. London Math. Soc., vol. 19, 1944, p. 130-133. Zbl0061.07904MR13381
  3. 3. H. EVERETT, Generalized Lagrange Multiplier Method for Solving Problems of Optium Allocation of Ressources, Operation Research, vol. II, 1963, p. 399-417. Zbl0113.14202MR152360
  4. 4. A. M. GEOFFRION, Lagrangean Relaxation for Integer Programming, Mathem. Prog. Stud., vol. 2, 1974, p. 82-114. Zbl0395.90056MR439172
  5. 5. F. J. GOULD, Extension of Lagrange Multipliers in Non Linear Programming, S.I.A.M. J. Appl. Math., vol. 17, n° 6, novembre 1969. Zbl0191.49001MR263426
  6. 6. G. HADLEY, Non Linear and Dynamic Programming, Reading Palo Alto London ; Addison-Wesley pub Conf., 1964. Zbl0179.24601MR173543
  7. 7. J. L. LAURIÈRE, Elements de programmation dynamique, Gauthier-Villars, Paris, 1979. Zbl0458.90039MR592779
  8. 8. J. L. NICOLAS, Répartition des nombres hautement composés de Ramanujan, Can. J. Math., vol. III, n° 1, 1971, p. 116-130. Zbl0213.06602MR274400
  9. 9. J. L. NICOLAS, Problèmes d'optimisation en nombres entiers, Astérisque, vol. 24-25, 1975, p. 325-333. Zbl0305.10039MR371806
  10. 10. J. L. NICOLAS, Algorithmes d'optimisation en nombres entiers, Astérisque, vol. 38-39, 1976, p. 169-182. Zbl0415.90060MR439729
  11. 11. S. RAMANUJAN, Highly Composite Numbers, Proc. London Math. Soc., t. 14, série 2, 1915, p. 347-400; collected papers, p. 78-128, Cambridge, 1927. MR2280858JFM45.0286.02
  12. 12. G. ROBIN, Sur un problème d'optimisation en nombres entiers, Math. Oper. Stat. Ser. Opt., vol. 11, n° 3, 1980, p. 403-420. Zbl0446.90058MR640847

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