RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
General information
Latest issue
Archive
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Vestnik YuUrGU. Ser. Mat. Model. Progr.:
Year:
Volume:
Issue:
Page:
Find






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


Vestnik YuUrGU. Ser. Mat. Model. Progr., 2018, Volume 11, Issue 3, Pages 29–43 (Mi vyuru442)  

Mathematical Modelling

Lord Kelvin and Andrey Andreyevich Markov in a queue with single server

A. Bobrowski

Lublin University of Technology, Lublin, Poland

Abstract: We use Lord Kelvin's method of images to show that a certain infinite system of equations with interesting boundary conditions leads to a Markovian dynamics in an $L^1$-type space. This system originates from the queuing theory.

Keywords: queue; method of images; generation theorem; boundary conditions; Markovian dynamics.

DOI: https://doi.org/10.14529/mmp180303

Full text: PDF file (308 kB)
References: PDF file   HTML file

Document Type: Article
UDC: 517.9+519.21+517.958
MSC: 47D03, 47D06, 47D07, 60K25, 60J22
Received: 21.06.2018
Language: English

Citation: A. Bobrowski, “Lord Kelvin and Andrey Andreyevich Markov in a queue with single server”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 11:3 (2018), 29–43

Citation in format AMSBIB
\Bibitem{Bob18}
\by A.~Bobrowski
\paper Lord Kelvin and Andrey Andreyevich Markov in a queue with single server
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2018
\vol 11
\issue 3
\pages 29--43
\mathnet{http://mi.mathnet.ru/vyuru442}
\crossref{https://doi.org/10.14529/mmp180303}


Linking options:
  • http://mi.mathnet.ru/eng/vyuru442
  • http://mi.mathnet.ru/eng/vyuru/v11/i3/p29

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Number of views:
    This page:25
    Full text:4
    References:2

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019