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Reducing the complexity of the knapsack linear integer problem by reformulation techniques

Elias Munapo () and Santosh Kumar ()
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Elias Munapo: North West University
Santosh Kumar: RMIT University

International Journal of System Assurance Engineering and Management, 2021, vol. 12, issue 6, No 5, 1087-1093

Abstract: Abstract The paper presents reformulation techniques to reduce the complexity of a knapsack linear integer problem. Reformulation significantly reduces the number of standard branch and bound sub-problems required to verify optimality. Computational results of the various technique are given to compare the number of branch and bound iterations on some selected knapsack linear integer problems before and after the reformulation.

Keywords: Knapsack integer problem; Computational complexity; Constraint reformulation; Variable reformulation (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s13198-021-01232-6

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