On poisson output of queueing systems

  • A. Rydel
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 982)


Poisson Process Point Process Polish Space Service Time Distribution Output Stream 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Franken Queues and Point Processes. Akademie-Verlag, Berlin, 1981.Google Scholar
  2. 2.
    Matthes K., Kerstan J., Mecke J. Infinitely Divisible Point Processes. Wile-Interscience, Chichester-New York-Brisbane-Toronto (in German: Akademie-Verlag, Berlin, 1974, in Russian: Moskva, Nauka, 1982).zbMATHGoogle Scholar
  3. 3.
    Dynkin E.B. Markov Processes. M.: Nauka, 1963 (in Russian).zbMATHGoogle Scholar
  4. 4.
    Disney R.L., Farrell R.L., de Morais P.R. A Characterization of M/G/1 Queues with Renewal Departure Process.-Management Science, 1973, v.19, N 11, p.1222–1228.CrossRefzbMATHGoogle Scholar
  5. 5.
    Disney R.L. Random Flow in Queueing Networks: A Review and Critique.-AIIE Transactions, 1976, v.7, N 3, p.268–288.MathSciNetCrossRefGoogle Scholar
  6. 6.
    Beutler F.J., Melamed B. Decomposition and Customer Streams of Feedback Networks in Equilibrium.-Operat, Res., v.26, N 6, p.1059–1072.Google Scholar
  7. 7.
    Melamed B. On Poisson Traffic Processes in Discrete State Markovian Systems with Applications to Queueing Theory.-Adv.Appl.Probab., 1979, v.11, p.218–239.MathSciNetzbMATHGoogle Scholar
  8. 8.
    Melamed B. Characterization of Poisson Traffic Streams in Jackson Queueing Networks.-Adv.Appl.Probab., 1979, v.11, p.422–438.MathSciNetCrossRefzbMATHGoogle Scholar
  9. 9.
    Rydel A. Output Streams of Queueing Networks-In: Problemy Ustoicivosty stohastičeskih modelei: VNIISI, 1982 (to appear in Russian).Google Scholar
  10. 10.
    Chandy K.M. et al. Product Form and Local Balance in Queueing Networks.-J.ACM, 1977, v.24, N 2, p.250–263.MathSciNetCrossRefzbMATHGoogle Scholar
  11. 11.
    Jackson J.R. Networks of Waiting Lines.-Operat. Res., 1975, v.15, N 4, p.254–265.Google Scholar
  12. 12.
    Jackson J.R. Jobshop-like Queueing Systems.-Management Science, 1963, v.10, N 1, p.131–142.CrossRefGoogle Scholar
  13. 13.
    Kelly F.P. Networks of Queues with Customers of Different Types.-J.Appl. Probab., 1975, v.12, N 3, p.542–554.MathSciNetCrossRefzbMATHGoogle Scholar
  14. 14.
    Cox D.R. The Analysis of non-Markovian Stochastic Processes by the inclusion of Supplementary Variables.-Proc.Cambr.Phil.Soc., 1955, v.51, N 3, p.433–441.MathSciNetCrossRefzbMATHGoogle Scholar
  15. 15.
    Kovalenko I.N. On Some Classes of Complex Systems.-Izvestija AN SSSR Tekhn.Kyb., 1964, N 6, 1965, N 1, N 3 (in Russian).Google Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • A. Rydel
    • 1
  1. 1.WarsawPoland

Personalised recommendations