Reliability Evaluation for a Multi-State System Under Stress-Strength Setup
Makaleler > Tam Makale · 2010
Yazarlar: Serkan Eryilmaz, Funda İŞÇİOĞLU
Communications in Statistics - Theory and Methods, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2010, cilt 40, ss 547-558
DOI: 10.1080/03610920903411242
Özet
The two most commonly used reliability models in engineering applications are binary k-out-of-n:G and consecutive k-out-of-n:G systems. Multi-state k-out-of-n:G and multi-state consecutive k-out-of-n:G systems have been proposed as an extension of these systems and they have been found to be more flexible tool for modeling engineering systems. In this article, multi-state systems, in particular, multi-state k-out-of-n:G and multi-state consecutive k-out-of-n:G, are considered in a stress-strength setup. The states of the system are classified considering the number of components whose strengths above (below) the multiple stresses available in an environment. The exact state probabilities are provided and the results are illustrated for various stress-strength distributions. Maximum likelihood estimators of state probabilities are also presented.