Skip to main content

On periodic distribution of waiting-time process

Part of the Lecture Notes in Mathematics book series (LNM,volume 1155)

Keywords

  • Periodic Solution
  • Service Time
  • Compound Poisson Process
  • Random Period
  • Poisson Input

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.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Takács L. Investigation of waiting-time problems by reduction to Markov process.-Acta.Math. Acad. Sci. Hungary, 6 (1955) p.101–129.

    CrossRef  MATH  Google Scholar 

  2. Reich E. On the integro-differential equation of Takács. I.-Ann. Math. Statist., v.29 (1958), p.567–570.

    CrossRef  Google Scholar 

  3. Reich E. On the integro-differential equation of Takács. II.-Ann. Math. Statist., v.30 (1959), p.143–148.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. Hasofer A.M. On the single-server queue with non-homogeneous Poisson input and general service times.-J.Appl.Probab., v.1 (1964), p.369–384.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. Harrison J.M., Lemoine A.J. Limit theorems for periodic queues.-J.Appl.Probab., v.14(1977), p.566–576.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. Lemoine A.J. On queues with periodic Poisson input.-J.Appl.Probab., v.18(1981), p.889–900.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Afanas'eva L.G., Lustina A.A. On periodic solution of the Takács equation (in Russian).-In: Stability problems for stochastic models, Moscow, Institute for Systems Studies, 1983, p.4–16-

    Google Scholar 

  8. Evdokimova G.S. On distribution of the waiting time for systems with periodic input (in Russian).-Izvestiia Akad.Nauk SSSR, Ser. Techn. Cybern., N 3(1974), p.114–118.

    Google Scholar 

  9. Afanas'eva L.G., Lustina A.A. Estimation of the quasi-stationary distribution of the waiting time for systems with periodic arrival rate function (in Russian).-In: Programs and algorithms for applied statistical analyses, Moscow,Central Econ.Math. Institute 1983, p.82–84.

    Google Scholar 

  10. Gnedenko B.V., Kovalenko I.N. Introduction to the queueing theory (in Russian)., Nauka, 1963.

    Google Scholar 

  11. Borovkov A.A. Stochastic processes in the queueing theory. (in Russian).-Nauka, 1966.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1985 Springer-Verlag

About this paper

Cite this paper

Afanas'eva, L.G. (1985). On periodic distribution of waiting-time process. In: Kalashnikov, V.V., Zolotarev, V.M. (eds) Stability Problems for Stochastic Models. Lecture Notes in Mathematics, vol 1155. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074810

Download citation

  • DOI: https://doi.org/10.1007/BFb0074810

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15985-8

  • Online ISBN: 978-3-540-39686-4

  • eBook Packages: Springer Book Archive