Mathematical theory of reliability: A historical perspective

Abstract

This paper reviews developments in mathematical reliability theory -especially those developments which have had or are likely to have impact on engineering reliability problems. The review to 1960 is based on a similar review which appeared in the 1965 book by Barlow & Proschan.

Trends and Future Directions of Quality Control and Reliability Engineering

“…아래 내용은 본 논문의 저자 들이 파악하고 있는 사항과 Azakhail and Modarres(2012), Barlow (1984), Saleh and Marais(2006), Zio(2009) 1 9 7 5 1 9 7 8 1 9 8 1 1 9 8 4 1 9 8 7 1 9 9 0 1 9 9 3 1 9 9 6 1 9 9 9 2 0 0 2 2 0 0 5 2 0 0 8 2 0 1 1 2 0 1 4 1 9 7 5 1 9 7 8 1 9 8 1 1 9 8 4 1 9 8 7 1 9 9 0 1 9 9 3 1 9 9 6 1 9 9 9 2 0 0 2 2 0 0 5 2 0 0 8 2 0 1 1 2 0 1 4 1 9 7 5 1 9 7 8 1 9 8 1 1 9 8 4 1 9 8 7 1 9 9 0 1 9 9 3 1 9 9 6 1 9 9 9 2 0 0 2 1 9 7 5 1 9 7 8 1 9 8 1 1 9 8 4 1 9 8 7 1 9 9 0 1 9 9 3 1 9 9 6 1 9 9 9 2 0 0 2 • 기타 : 그 외의 연구로는 자동제조시스템의 RAM 분석, 통 신시스템의 정비 의사결정시스템 개발, 컨테이너터미널의 RAM 관리시스템, 다단계수리 및 복합시스템의 RAM 분석 용 시뮬레이션설계 등이 있다.…”

A combined method for reliability analysis of multi-state system of minor-repairable components

“…Numerous research efforts have been devoted to binary-state reliability theory, modeling, indices analysis and calculation etc [6,5,35,4,33]. However, those theories and assumptions are oversimplified for the realistic situations.…”

Bayesian component reliability assessment with system data

“…As is pointed out in Barlow (1984), research on coherent struc tures began with the paper of Birnbaum et al (1961), The subsequent paper of Birnbaum and Esary (1965) on modules of coherent structures extends the earlier work and establishes connections to switching theory.…”

“…As pointed by Barlow (1984), Bayes methods came into their own in the area of reliability during the decade 1960-1970, Drake 1966, Evans 1969, and Feduccia and Klion 1968(cited in Tsokos and Shimi (1977) were among many, during that period, who presented arguments in favor of the application of Bayesian techniques to reliability problems. Springer and Thompson (1966, 1968) considered a series system of components, each subject to a binomial failure model, for which the prior density is of Beta form.…”

“…As pointed out by Barlow (1984), interest in the Weibull distribution grew to considerable importance in 1959, when Zelen and Dannemiller (1961) showed that many life test procedures based on the exponential are not robust.…”