Heuristics for the 0-1 multidimensional knapsack problem

V. Boyer, M. Elkihel and D. El Baz

European Journal of Operational Research, 2009, vol. 199, issue 3, 658-664

Abstract: Two heuristics for the 0-1 multidimensional knapsack problem (MKP) are presented. The first one uses surrogate relaxation, and the relaxed problem is solved via a modified dynamic-programming algorithm. The heuristics provides a feasible solution for (MKP). The second one combines a limited-branch-and-cut-procedure with the previous approach, and tries to improve the bound obtained by exploring some nodes that have been rejected by the modified dynamic-programming algorithm. Computational experiences show that our approaches give better results than the existing heuristics, and thus permit one to obtain a smaller gap between the solution provided and an optimal solution.

Keywords: Multidimensional; knapsack; problem; Dynamic-programming; Branch-and-cut; Surrogate; relaxation; Heuristics (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:199:y:2009:i:3:p:658-664

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