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Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2022, Volume 9, Issue 1, Pages 76–84
DOI: https://doi.org/10.21638/spbu01.2022.108
(Mi vspua43)
 

MATHEMATICS

Fast algorithm for quadratic knapsack problem

A. V. Plotkin

St Petersburg State University, 7-9, Universitetskaya nab., St Petersburg, 199034, Russian Federation
References:
Abstract: The paper considers a quadratic programming problem with a strictly convex separable objective function, a single linear constraint, and two-sided constraints on variables. This problem is commonly called the Convex Knapsack Separable Quadratic Problem, or CKSQP for short. We are interested in an algorithm for solving CKSQP with a linear time complexity. The papers devoted to this topic contain inaccuracies in the description of algorithms and ineffective implementations. In this work, the existing difficulties were overcome.
Keywords: quadratic programming, knapsack problem, fast algorithms.
Received: 10.06.2021
Revised: 16.06.2021
Accepted: 02.09.2021
English version:
Vestnik St. Petersburg University, Mathematics, 2022, Volume 9, Issue 1, Pages 57–63
DOI: https://doi.org/10.1134/S1063454122010113
Document Type: Article
UDC: 519.85
MSC: 90C20
Language: Russian
Citation: A. V. Plotkin, “Fast algorithm for quadratic knapsack problem”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 9:1 (2022), 76–84; Vestn. St. Petersbg. Univ., Math., 9:1 (2022), 57–63
Citation in format AMSBIB
\Bibitem{Plo22}
\by A.~V.~Plotkin
\paper Fast algorithm for quadratic knapsack problem
\jour Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
\yr 2022
\vol 9
\issue 1
\pages 76--84
\mathnet{http://mi.mathnet.ru/vspua43}
\crossref{https://doi.org/10.21638/spbu01.2022.108}
\transl
\jour Vestn. St. Petersbg. Univ., Math.
\yr 2022
\vol 9
\issue 1
\pages 57--63
\crossref{https://doi.org/10.1134/S1063454122010113}
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