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Fuzzy Optimization and Decision Making

, Volume 12, Issue 1, pp 79–87 | Cite as

Delayed renewal process with uncertain interarrival times

  • Xingfang Zhang
  • Yufu Ning
  • Guangwu Meng
Article

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.

Keywords

Renewal process Uncertain process Uncertainty theory 

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Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  1. 1.School of Mathematical SciencesLiaocheng UniversityLiaochengChina
  2. 2.Department of Computer ScienceDezhou UniversityDezhouChina

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