Skip to main content

Abstract

Let {N(t), t ≥ 0} be a nonnegative-integer-valued stochastic process that counts the occurrences of a given event. That is, N(t) is the number of events in the time interval [0, t]. For example, N(t) can be the number of bulb replacements in a lamp that is continuously on, and the dead bulbs are immediately replaced.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 84.99
Price excludes VAT (USA)
  • Durable hardcover 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

Institutional subscriptions

References

  1. Cinlar, E.: Introduction to Stochastic Processes. Prentice-Hall, Englewood Cliffs (1975)

    MATH  Google Scholar 

  2. Cox, D.R.: The analysis of non-Markovian stochastic processes by the inclusion of supplementary variables. Proc. Cambridge Philo. Soc. 51, 433–440 (1955)

    Article  MathSciNet  Google Scholar 

  3. Feller, W.: An Introduction to Probability Theory and Its Applications, vol. I. Wiley, New York (1968)

    MATH  Google Scholar 

  4. Karlin, S., Taylor, H.M.: A First Course in Stochastic Processes. Academic Press, New York (1975)

    MATH  Google Scholar 

  5. Kleinrock, L.: Queuing Systems, Volume 1: Theory. Wiley, New York (1975)

    MATH  Google Scholar 

  6. Kulkarni, V.G.: Modeling and Analysis of Stochastic Systems. Chapman & Hall, London (1995)

    MATH  Google Scholar 

  7. Lindwall, T.: Lectures on the Coupling Method. Wiley, New York (1992)

    Google Scholar 

  8. Sigman, K., Wolff, R.: A review of regenerative processes. SIAM Rev. 35(2), 269–288 (1993)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Lakatos, L., Szeidl, L., Telek, M. (2019). Renewal and Regenerative Processes. In: Introduction to Queueing Systems with Telecommunication Applications. Springer, Cham. https://doi.org/10.1007/978-3-030-15142-3_4

Download citation

Publish with us

Policies and ethics