Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


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}
Linking options:
  • https://www.mathnet.ru/eng/vspua43
  • https://www.mathnet.ru/eng/vspua/v9/i1/p76
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
    Statistics & downloads:
    Abstract page:34
    Full-text PDF :16
    References:10
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024