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  A hybrid approach for the 0–1 multidimensional knapsack problem (2001) [16 citations — 1 self]

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by Michel Vasquez, Jin-kao Hao
In Proceedings of the International Joint Conference on Artificial Intelligence 2001
http://www.info.univ-angers.fr/pub/hao/papers/IJCAI01.ps
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Abstract:

We present a hybrid approach for the 0--1 multidimensional knapsack problem. The proposed approach combines linear programming and Tabu Search. The resulting algorithm improves significantly on the best known results of a set of more than 150 benchmark instances. 1

Citations

354 Tabu search – Glover, Laguna - 1995
54 A genetic algorithm for the multidimensional knapsack problem – Chu, Beasley - 1998
31 1995�. Critical Event Tabu Search for Multidimensional Knapsack Problems. Metaheuristics for Optimization – Glover�, Kochenberger
24 A simplified algorithm for obtaining approximate solutions to zero-one programming problems – Toyoda - 1975
22 Dynamic tabu list management using the reverse elimination method – Dammeyer, Voss - 1993
20 A Branch and Bound Method for the Multiconstraint Zero-One Knapsack Problem – Shih - 1979
15 Efficient Algorithms for Solving Multiconstraint Zero-One Knapsack Problems to Optimality – Gavish, Pirkul - 1985
14 Pivot and complement: A heuristic for 0-1 programming – Balas, Martin - 1980
11 Tabu search for general zero-one integer programs using the pivot and complement heuristic – Aboudi, Jornsten - 1994
11 An efficient tabu search approach for the 0-1 multidimensional knapsack problem – Hanafi, Freville - 1998
10 A simulated annealing approach to the multiconstraint zero-one knapsack problem – Drexl - 1988
7 Heuristics and reduction methods for multiple constraints 0-1 linear programming problems – Fréville, Plateau - 1986
5 Cutting and surrogate constraint analysis for improved multidimensional knapsack solutions – Osorio, Glover, et al. - 2000
4 Allocation of data bases and processors in a distributed computing system – Gavish, Pirkul - 1982
2 Sac à dos multidimensionnel en variable 0-1 : encadrement de la somme des variables à l’optimum – Fréville, Plateau - 1993