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A Note on the Max-Min 0-1 Knapsack Problem
Authors:Hiroshi Iida
Institution:(1) Dept. of Information and Management Science, Otaru University of Commerce, 5-21 Midori 3-Chome Otaru, Hokkaido, 047-8501, Japan
Abstract:In this paper we propose new lower and upper bounds for the max-min 0-1 knapsack problem, employing a mixture of two relaxations. In addition, in order to expose whether the bounds are practical or not, we implement a method incorporating the bounds to achieve an optimal solution of the problem.
Keywords:knapsack problem  surrogate relaxation  linear programming relaxation  branch-and-bound
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