Solving the 0-1 Multidimensional Knapsack Problem with Resolution Search

作者: Sylvain Boussier , Yannick Vimont , Said Hanafi , Michel Vasquez , Philippe Michelon

DOI:

关键词: Mathematical optimizationContinuous knapsack problemConstraint (information theory)Variable (computer science)MathematicsScale (ratio)Resolution (logic)Knapsack problemChange-making problemCutting stock problem

摘要: We propose an exact method which combines the resolution search and branch & bound algorithms for solving 0?1 Multidimensional Knapsack Problem. This algorithm is able to prove large?scale strong correlated instances. The optimal values of 10 constraint, 500 variable instances OR-Library are exposed. These were previously unknown.

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