Reliability of semi-Markov missions

ÇEKYAY B., Özekici S.

Stochastic Models, vol.35, no.1, pp.63-88, 2019 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 35 Issue: 1
  • Publication Date: 2019
  • Doi Number: 10.1080/15326349.2019.1577142
  • Journal Name: Stochastic Models
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.63-88
  • Keywords: intrinsic aging, Markov renewal process, maximal repair, Mission reliability, no repair
  • Yıldız Technical University Affiliated: Yes


We consider a device that is designed to perform missions consisting of a random sequence of phases or stages with random durations. The mission process is described by a Markov renewal process and the system is a complex one consisting of a number of components whose lifetimes depend on the phases of the mission. We discuss models and tools to compute system, mission, and phase reliabilities using Markov renewal theory. A simplified model involving a mission-based system with maximal repair is analyzed first, and the results are then extended to the case where there is no repair using intrinsic aging concepts. Our objective is to focus on computation of system reliability for these two possible extreme cases.