@article{RO_1993__27_2_169_0, author = {Fr\'eville, Arnaud and Plateau, G.}, title = {Sac \`a dos multidimensionnel en variables 0-1 : encadrement de la somme des variables \`a l'optimum}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {169--187}, publisher = {EDP-Sciences}, volume = {27}, number = {2}, year = {1993}, mrnumber = {1222386}, zbl = {0777.90032}, language = {fr}, url = {http://www.numdam.org/item/RO_1993__27_2_169_0/} }
TY - JOUR AU - Fréville, Arnaud AU - Plateau, G. TI - Sac à dos multidimensionnel en variables 0-1 : encadrement de la somme des variables à l'optimum JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 1993 SP - 169 EP - 187 VL - 27 IS - 2 PB - EDP-Sciences UR - http://www.numdam.org/item/RO_1993__27_2_169_0/ LA - fr ID - RO_1993__27_2_169_0 ER -
%0 Journal Article %A Fréville, Arnaud %A Plateau, G. %T Sac à dos multidimensionnel en variables 0-1 : encadrement de la somme des variables à l'optimum %J RAIRO - Operations Research - Recherche Opérationnelle %D 1993 %P 169-187 %V 27 %N 2 %I EDP-Sciences %U http://www.numdam.org/item/RO_1993__27_2_169_0/ %G fr %F RO_1993__27_2_169_0
Fréville, Arnaud; Plateau, G. Sac à dos multidimensionnel en variables 0-1 : encadrement de la somme des variables à l'optimum. RAIRO - Operations Research - Recherche Opérationnelle, Tome 27 (1993) no. 2, pp. 169-187. http://www.numdam.org/item/RO_1993__27_2_169_0/
[BOPL91] BPK90 : A Revisited Hybrid Algorithm for the 0-1 Knapsack Problem, Publication LIPN, 1991, n° 91-2.Université Paris-Nord.
and ,[DYE80] Calculating Surrogate Constraints, Mathematical Programming 19, 1980, p. 255-278. | MR | Zbl
,[FAPL82] An Algorithm for the Solution of the 0-1 Knapsack Problem, Compting, 1982, 28, p. 269-287. | Zbl
and ,[FAPL92] An Exact Algorithm for the 0-1 Collapsing Knapsack Problem. Proceedings de la conférence "Viewpoints on Optimization", Grimentz, Suisse, Août 1990, à paraître dans Discrete Applied Mathematics. | Zbl
and ,[FLP90] A Monotone Decreasing Algorithm for Solving the Surrogate Dual of 0-1 Multiknapsack Problems, Publication LIPN, 1990, n° 90-13, Université Paris-Nord.
, and ,[FRE91] Contribution à l'optimisation en nombres entiers, Thèse d'habilitation à diriger des recherches, Université Paris-Nord, 1991.
,[FRPL86] Heuristics and Reduction Methods for Multiple Constraints 0-1 Linear Programming Problems, European Journal of Operational Research, 1986, 24, p. 206-215. | MR | Zbl
and ,[FRPL90] Hard 0-1 Multiknapsack Test Problems for Size Reduction Methods, Investigation Operativa 1, 1990, p. 251-270.
and ,[FRPL92a] An Efficient Preprocessing Procedure for the Solution of the 0-1 Multiknapsack Problem, Proceedings de la conférence "Viewpoints on Optirnization", Grimentz, Suisse, août 1990, à paraître dans Discrete Applied Mathematics. | Zbl
and ,[FRPL92b] FPBK92 : An Implicit Enumeration Code for the Solution of the 0-1 Bidimensional Knapsack Problem Based on Surrogate Duality, Graphs and Optimization Colloquium, Grimentz, Suisse, août 1992. | Zbl
and ,[FRPL93] SADE2 : An Exact Algorithm for Solving the Biknapsack Surrogate Dual, à paraître dans European Journal of Operational Research, 66, 1993.
and ,[GAPI85] Efficient Algorithms for Solving Multiconstraint Zero-One Knapsack Problems to Optimality, Mathematical Programming, 1985, 31, p. 78-105. | MR | Zbl
and ,[GLO65] A Multiphase Dual Algorithm for the Zero-One Integer Programming Problem Operations Research, 1965, 13 (6), p. 879-919. | Zbl
,[MAMA57] On the Solution of Discrete Programming Problems, Econometrica, 1957, 25, p. 84-110. | MR | Zbl
and ,[MATO92] Exact Solution of Hard Knapsack Problems, EURO XII-TIMS XXXI, Helsinki, Finlande, juin 1992.
and ,[PET67] Computational Experience With Variants of the Balas Algorithm Applied to the Selection for R & D Projects, Management Science, 1967, 13 (9), p. 736-750.
,[SETO68] An Approach to Linear Programming with 0-1 Variables, Management Science, 1968, 15 (4), p. 196-205.
and ,[WENE67] Method for the Solution of the Multidimensional 0-1 Knapsack Problem, Operations Research, 1967, 15 (1), p. 83-103.
and ,