Loading [MathJax]/jax/output/SVG/config.js
Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




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

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2021, Volume 61, Number 2, Pages 312–344
DOI: https://doi.org/10.31857/S0044466921020149 (Mi zvmmf11202) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Computer science

Numerical methods for the resource allocation problem in a computer network

E. A. Vorontsovaa, A. V. Gasnikovabc, P. E. Dvurechenskiibc, A. S. Ivanovad, D. A. Pasechnyuka

a Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region
b Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
c Weierstrass institute for Applied Analysis and Stochastics
d State University – Higher School of Economics
Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.31857/S0044466921020149
Abstract: The resource allocation problem in computer networks with a large number of links is considered. The links are used by consumers (users), whose number can also be very large. For the dual problem, numerical optimization methods are proposed, such as the fast gradient method, the stochastic projected subgradient method, the ellipsoid method, and the random gradient extrapolation method. A convergence rate estimate is obtained for each of the methods. Algorithms for distributed computation of steps in the considered methods as applied to computer networks are described. Special attention is given to the primal-dual property of the proposed algorithms.
Key words: resource allocation, communication networks, network utility maximization, primal-dual property, fast gradient method, stochastic projected subgradient method, ellipsoid method, random gradient extrapolation method.
Funding agency Grant number
Russian Foundation for Basic Research 18-31-20005 мол_а_вед
19-31-51001
18-29-03071 мк
Ministry of Education and Science of the Russian Federation 075-00337-20-03
Gasnikov’s research was supported by the Russian Foundation for Basic Research, grant no. 18-31-20005 mol_a_ved and 19-31-51001 Scientific mentoring. Dvurechensky’s research was supported by the Russian Foundation for Basic Research, grant no. 18-29-03071 mk. Vorontsova’s research was supported by the Ministry of Science and Higher Education of the Russian Federation (state assignment no. 075-00337-20-03), project no. 0714-2020-0005.
Received: 29.11.2019
Revised: 10.09.2020
Accepted: 16.09.2020
English version:
Computational Mathematics and Mathematical Physics, 2021, Volume 61, Issue 2, Pages 297–328
DOI: https://doi.org/10.1134/S0965542521020135
Bibliographic databases:
Document Type: Article
UDC: 519
Language: Russian
Citation: E. A. Vorontsova, A. V. Gasnikov, P. E. Dvurechenskii, A. S. Ivanova, D. A. Pasechnyuk, “Numerical methods for the resource allocation problem in a computer network”, Zh. Vychisl. Mat. Mat. Fiz., 61:2 (2021), 312–344; Comput. Math. Math. Phys., 61:2 (2021), 297–328
Citation in format AMSBIB
\Bibitem{VorGasDvu21}
\by E.~A.~Vorontsova, A.~V.~Gasnikov, P.~E.~Dvurechenskii, A.~S.~Ivanova, D.~A.~Pasechnyuk
\paper Numerical methods for the resource allocation problem in a computer network
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2021
\vol 61
\issue 2
\pages 312--344
\mathnet{http://mi.mathnet.ru/zvmmf11202}
\crossref{https://doi.org/10.31857/S0044466921020149}
\elib{https://elibrary.ru/item.asp?id=44732414}
\transl
\jour Comput. Math. Math. Phys.
\yr 2021
\vol 61
\issue 2
\pages 297--328
\crossref{https://doi.org/10.1134/S0965542521020135}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000637836300011}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85104139214}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf11202
  • https://www.mathnet.ru/eng/zvmmf/v61/i2/p312
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Statistics & downloads:
    Abstract page:202
    References:45
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025