System Reliability Theory. Marvin Rausand
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An important contribution to the subsequent reliability theory was made by the Russian mathematician Boris V. Gnedenko (1912–1995) in his 1943 paper “On the limiting distribution of the maximum term in a random series.”2 In this paper, Gnedenko provided rigorous proofs and formulated three classes of limit distributions, one of which was the Weibull distribution. Gnedenko was not the first to define the three limit distribution classes, but the first to provide proofs. The classes had earlier been defined by Fisher and Tippett (1928). The extreme value theorem proved by Gnedenko is often referred to as the Fisher–Tippett–Gnedenko theorem.
In the United States, attempts were made to compensate a low‐system reliability by improving the quality of the individual components. Better raw materials and better designs for the products were demanded. A higher system reliability was obtained, but extensive systematic analysis of the problem was probably not carried out at that time.
After World War II, the development continued throughout the world as increasingly more complicated products were produced, composed of an ever‐increasing number of components (e.g. television sets and electronic computers). With automation, the need for complicated control and safety systems also became steadily more pressing.
Several attempts to test and quantify the reliability of electronic components began in the 1940s during World War II. The war activities clearly revealed that electron (vacuum) tubes were the most failure‐prone components in electronic systems (Denson 1998). Several groups tried to identify ways to improve the reliability of electronic systems, and it was suggested that the reliability of the components needed to be verified by testing before full‐scale production.
In 1945, Milton A. Miner formulated the important Miner's rule for fatigue failures (Miner 1945). A similar rule was suggested by the Swedish engineer Nils Arvid Palmgren (1890–1971) already in 1924 while studying the life length of roller bearings. The rule is therefore also called the Palmgren–Miner's rule and the Miner–Palmgren's rule.
In 1949, the Institute of Electrical and Electronic Engineers (IEEE) formed a professional group on quality control as part of its Institute of Radio Engineers. The group got more and more focused on reliability issues and changed name several times. In 1979, the group got its current name, IEEE Reliability Society.
The first guideline on failure modes and effects analysis (FMEA) was issued in 1949 (MIL‐P‐1629 1949). This guideline was later developed into the military standard MIL‐STD‐1629A.
1950s
The Advisory Group on Reliability of Electronic Equipment (AGREE) was established in 1950 to survey the field and identify and promote actions that could provide more reliable electronic equipment. A big step forward was made by the report AGREE (1957).
The 1950s saw much pioneering work in the reliability discipline. The Weibull distribution was properly defined (Weibull 1951) and soon became popular and several US military handbooks were issued. The statistical branch of reliability theory was strongly enhanced by the paper “Life testing” (Epstein and Sobel 1953) and some years later by the Kaplan–Meier estimate (Kaplan and Meier 1958).
The UK Atomic Energy Authority (UKAEA) was formed in 1954. It soon got involved in performing safety and reliability assessments for outside bodies, due to its competence in such work in the nuclear field.
In the middle of the 1950s, Bell Telephone Laboratories started to develop the fault tree approach describing the possible causes of an undesired event, using Boolean algebra.
1960s
Reliability theory was significantly enhanced during the 1960s and several important books were published, among which are Bazovsky (1961), Lloyd and Lipow (1962), Barlow and Proschan (1965), and Shooman (1968).
In 1960, the first edition of the US military handbook MIL‐HDBK‐217F was released, outlining an approach for reliability prediction of electronic equipment.
In 1962, the Bell Telephone Laboratories published a report on the safety of the launch control system for the Minuteman intercontinental ballistic missile using fault tree analysis. This report is considered to be the birth of fault tree analysis. The same year, David R. Cox published his seminal book on renewal theory (Cox 1962).
In 1964, the “Reliability Engineering” handbook was published by Aeronautical Radio, Incorporated (ARINC). This book (ARINC 1964) was one of the first books describing engineering aspects of reliability theory. Another book on reliability engineering was Ireson (1966).
In 1968, the Air Transport Association (ATA) issued a document titled “Maintenance Evaluation and Program Development.” This document gave rise to the approach “maintenance steering group” (MSG). The first version, called MSG‐1, was used to ensure the safety of the new Boeing 747‐100 aircraft. The MSG‐1 process used failure modes, effects, and criticality analysis (FMECA) and a decision logic to develop scheduled maintenance. MSG‐1 was later developed into MSG‐2 and MSG‐3, which is the current version.
The Reliability Analysis Center (RAC) was established in 1968 as a technical information center for the US Department of Defense, and soon played a very important role in the development of reliability theory and practice. The RAC journal was widely distributed, presenting updated information about new developments.
The military standard “Reliability program for systems and equipment” was published in 1969 (MIL‐STD‐785A 1969).
One of the most influential researchers on reliability theory in the 1960s was Zygmunt Wilhelm Birnbaum (1903–2000). He introduced a new importance metric of component reliability (Birnbaum 1969), made a probabilistic version of Miner's rule for fatigue life (Birnbaum and Saunders 1968), and made many other significant contributions.
1970s
A most important event for reliability in the 1970s was the release of the report from the Reactor Safety Study in 1975 (NUREG‐75/014). The study was made by a group of experts lead by professor Norman Rasmussen of MIT. A high number of important methods were developed as part of – or inspired by – the Reactor Safety Study.
The US Nuclear Regulatory Commission (NRC) was established the same year (in 1975) and soon started to issue NRC Regulations, called NUREG.
The nuclear accident at Three Mile Island (TMI) near Harrisburg, PA occurred in 1979. In light