Skip to main content
SpringerLink
Log in

Delayed renewal process with uncertain interarrival times

  • Published:
Fuzzy Optimization and Decision Making Aims and scope Submit manuscript

Abstract

Delayed renewal process is a special type of renewal process in which the first interarrival time is quite different from the others. This paper first proposes an uncertain delayed renewal process whose interarrival times are regarded as uncertain variables. Then it gives an uncertainty distribution of delayed renewal process and an elementary delayed renewal theorem.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Kahneman D., Tversky A. (1979) Prospect theory: An analysis of decision under risk. Econometrica 47(2): 263–292

    Article  MATH  Google Scholar 

  • Liu B. (2007) Uncertainty theory. (2nd ed). Springer, Berlin

    MATH  Google Scholar 

  • Liu B. (2008) Fuzzy process, hybrid process and uncertain process. Journal of Uncertain Systems 2(1): 3–16

    Google Scholar 

  • Liu B. (2009) Some research problems in uncertainty theory. Journal of Uncertain Systems 3(1): 3–10

    Google Scholar 

  • B. B., B. B. (2011) Uncertainty theory: A branch of mathematics for modeling human uncertainty. Springer, Berlin

    Google Scholar 

  • Liu B. (2012a) Why is there a need for uncertainty theory. Journal of Uncertain Systems 6(1): 3–10

    Google Scholar 

  • Liu, B. (2012b). Extreme value theorems of uncertain process with application to insurance risk model.Soft Computing (to be published).

  • Yao, K. (2012). Uncertain calculus with renewal process. Fuzzy Optimization and Decision Making. doi:10.1007/s10700-012-9132-y.

  • Yao, K., & Li, X. (2012). Uncertain alternating renewal process and its application. IEEE Transcations on Fuzzy Systems. doi:10.1109/TFUZZ.2012.2194152.

  • Yu X. C. (2012) A stock model with jumps for uncertain markets. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 20(3): 421–432

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Mathematical Sciences, Liaocheng University, Liaocheng, 252059, China

    Xingfang Zhang & Guangwu Meng

  2. Department of Computer Science, Dezhou University, Dezhou, 253023, China

    Yufu Ning

Authors
  1. Xingfang Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yufu Ning
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Guangwu Meng
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yufu Ning.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhang, X., Ning, Y. & Meng, G. Delayed renewal process with uncertain interarrival times. Fuzzy Optim Decis Making 12, 79–87 (2013). https://doi.org/10.1007/s10700-012-9144-7

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10700-012-9144-7

Keywords

Search

Navigation