Details

Autor(en) / Beteiligte

• Zhang, Quan
• Yu, Shihang
• Han, Yang
• Li, Yanjun

Titel

Research on the model of a multistate aggregated Markov repairable system

Ist Teil von

• Proceedings of the Institution of Mechanical Engineers. Part O, Journal of risk and reliability, 2022-04, Vol.236 (2), p.266-276

Ort / Verlag

London, England: SAGE Publications

Erscheinungsjahr

2022

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In theory and practice, system performance is one of the most important issues. Therefore, a series of indexes has been proposed for evaluating the system performance, such as availability. However, these indexes still cannot meet the variant requirements in the reliability and other fields. The purpose of the article is to develop some theoretical results that may be used in modeling the evolution of system performance. So, based on the aggregated stochastic process theory, some new indexes are introduced and established in Markov repairable systems. In this model, the state space is partitioned into working subset W and failure subset F. The system is regarded as stable if the state of system enters one subset, either W or F, at any instance and sojourns within the subset exceeding a given non-negative threshold τ . Otherwise, the system is regarded as unstable. Under these assumptions, the concepts of point-wise and interval-wise are proposed, and the computation formulae of two types of indexes are derived in the theory. Finally, a special case and a few of numerical examples are given to illustrate the results obtained in the paper.