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Zbl 1015.90056
Vasquez, Michel; Hao, Jin-Kao
A hybrid approach for the 0-1 multidimensional knapsack problem. (Une approche hybride pour le sac à dos multidimensionnel en variables 0-1.)
(French)
[J] RAIRO, Oper. Res. 35, No.4, 415-438 (2001). ISSN 0399-0559; ISSN 1290-3868/e

Summary: We present, in this article, a hybrid approach for solving the 0-1 multidimensional knapsack problem. This approach combines linear programming and tabu search. The resulting algorithm improves on the best result on many well-known hard benchmarks.
MSC 2000:
*90C09 Boolean programming
90C05 Linear programming
90B40 Search theory

Keywords: 0-1 multidimensional knapsack problem; linear programming; tabu search

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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