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On poisson output of queueing systems

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

Keywords

Poisson Process Point Process Polish Space Service Time Distribution Output Stream 
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References

  1. 1.
    Franken P.et.al. 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

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