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MATHEMATICS
Fast algorithm for quadratic knapsack problem
A. V. Plotkin St Petersburg State University, 7-9, Universitetskaya nab., St Petersburg, 199034, Russian Federation
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
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
Linking options:
https://www.mathnet.ru/eng/vspua43 https://www.mathnet.ru/eng/vspua/v9/i1/p76
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Abstract page: | 46 | Full-text PDF : | 20 | References: | 16 |
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