Teoriya Veroyatnostei i ee Primeneniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
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


Teoriya Veroyatnostei i ee Primeneniya, 1958, Volume 3, Issue 4, Pages 452–458 (Mi tvp4948)  

This article is cited in 1 scientific paper (total in 1 paper)

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
Full-text PDF (759 kB) Citations (1)
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.
Received: 25.05.1958
English version:
Theory of Probability and its Applications, 1958, Volume 3, Issue 4, Pages 420–425
DOI: https://doi.org/10.1137/1103034
Document Type: Article
Language: Russian
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:
  • https://www.mathnet.ru/eng/tvp4948
  • https://www.mathnet.ru/eng/tvp/v3/i4/p452
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теория вероятностей и ее применения Theory of Probability and its Applications
    Statistics & downloads:
    Abstract page:126
    Full-text PDF :66
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024