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    Rights statement: This is the author’s version of a work that was accepted for publication in Discrete Optimization. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Discrete Optimization, 44, 2, 2022 DOI: 10.1016/j.disopt.2020.100579

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A cut-and-branch algorithm for the quadratic knapsack problem

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Published
Article number100579
<mark>Journal publication date</mark>31/05/2022
<mark>Journal</mark>Discrete Optimization
Issue number2
Volume44
Number of pages18
Publication StatusPublished
Early online date4/03/20
<mark>Original language</mark>English

Abstract

The Quadratic Knapsack Problem (QKP) is a well-known NP-hard combinatorial optimisation problem, with many practical applications. We present a ‘cut-and-branch’ algorithm for the QKP, in which a cutting-plane phase is followed by a branch-and-bound phase. The cutting-plane phase is more sophisticated than the existing ones in the literature, incorporating several classes of cutting planes, two primal heuristics, and several rules for eliminating variables and constraints. Computational results show that the algorithm is competitive.

Bibliographic note

This is the author’s version of a work that was accepted for publication in Discrete Optimization. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Discrete Optimization, 44, 2, 2022 DOI: 10.1016/j.disopt.2020.100579