Mean time to failure and availability of semi-Markov missions with maximal repair

ÇEKYAY B., Özekici S.

European Journal of Operational Research, vol.207, no.3, pp.1442-1454, 2010 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 207 Issue: 3
  • Publication Date: 2010
  • Doi Number: 10.1016/j.ejor.2010.07.019
  • Journal Name: European Journal of Operational Research
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1442-1454
  • Keywords: Availability, Markov renewal theory, Mean time to failure, Reliability, Semi-Markov missions
  • Yıldız Technical University Affiliated: Yes


We analyze mean time to failure and availability of semi-Markov missions that consist of phases with random sequence and durations. It is assumed that the system is a complex one with nonidentical components whose failure properties depend on the mission process. The stochastic structure of the mission is described by a Markov renewal process. We characterize mean time to failure and system availability under the maximal repair policy where the whole system is replaced by a brand new after successfully completing a phase before the next phase starts. Special cases involving Markovian missions are also considered to obtain explicit formulas. © 2010 Elsevier B.V. All rights reserved.