title: Fast algorithm for quadratic knapsack problem
metadata.name: dc.contributor.author
metadata.value: Plotkin, Artyom V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2022-04-14T11:27:59Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2022-04-14T11:27:59Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2022-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Plotkin А.V. Fast algorithm for quadratic knapsack problem. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2022, vol. 9 (67), issue 1, pp. 76–84.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2022.108
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/36156
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: 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.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 9; Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: quadratic programming
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: knapsack problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: fast algorithms
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Fast algorithm for quadratic knapsack problem
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 76-84.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/36156/1/76-84.pdf
resources.format: Adobe PDF
resources.size: 301,28 kB