RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor
Subscription
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Teor. Veroyatnost. i Primenen.:
Year:
Volume:
Issue:
Page:
Find






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


Teor. Veroyatnost. i Primenen., 1958, Volume 3, Issue 4, Pages 452–458 (Mi tvp4948)  

Short Communications

Final Probabilities for Multi-Dimensional Markov Processes Which Describe the Action of Some Two-Stage Telephone Systems with Busy-Signals

G. P. Basharin

Moscow

Abstract: Final probabilities are determined for mufti-dimensional Markov processes with continuous time and a finite number of states describing the action of a two-stage telephone system with one switch in the second stage.
It is assumed that service calls form independent Poisson streams of calls and that the service times have independent negative exponential distributions.
On the basis of these final probabilities some other probability formulas for a common number of the busy lines are determined. These formulas are extensions of the well known Erlang's formulas in the mufti-dimensional case. Common group selection and random occupation of each free connecting device are considered.

Full text: PDF file (759 kB)

English version:
Theory of Probability and its Applications, 1958, 3:4, 420–425

Received: 25.05.1958

Citation: G. P. Basharin, “Final Probabilities for Multi-Dimensional Markov Processes Which Describe the Action of Some Two-Stage Telephone Systems with Busy-Signals”, Teor. Veroyatnost. i Primenen., 3:4 (1958), 452–458; Theory Probab. Appl., 3:4 (1958), 420–425

Citation in format AMSBIB
\Bibitem{Bas58}
\by G.~P.~Basharin
\paper Final Probabilities for Multi-Dimensional Markov Processes Which Describe the Action of Some Two-Stage Telephone Systems with Busy-Signals
\jour Teor. Veroyatnost. i Primenen.
\yr 1958
\vol 3
\issue 4
\pages 452--458
\mathnet{http://mi.mathnet.ru/tvp4948}
\transl
\jour Theory Probab. Appl.
\yr 1958
\vol 3
\issue 4
\pages 420--425
\crossref{https://doi.org/10.1137/1103034}


Linking options:
  • http://mi.mathnet.ru/eng/tvp4948
  • http://mi.mathnet.ru/eng/tvp/v3/i4/p452

    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
  • Теория вероятностей и ее применения Theory of Probability and its Applications
    Number of views:
    This page:49
    Full text:28

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