System Reliability Theory. Marvin Rausand

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assessment can be attributed to Robert Lusser (1899–1969). He was a German engineer and aircraft designer who took part in several well‐known Messerschmitt and Heinkel designs during World War II. During the war, a group in Germany was working under Wernher von Braun developing the V‐1 missile, but the 10 first V‐1 missiles were all fiascos. In spite of attempts to provide high‐quality parts and careful attention to details, all the first missiles either exploded on the launching pad or landed “too soon” (in the English Channel). Robert Lusser was called in as a consultant. His task was to analyze the missile system, and he quickly derived the product probability law of series components saying that the reliability of series system is equal to the product of the reliabilities of the individual components that make up the system. If the system comprises a large number of components, the system reliability may therefore be low, even though the individual components have high reliabilities. A young mathematician, Erich Pieruschka, assisted Wernher von Braun and may have been as important as Lusser in developing Lusser's law. Some authors prefer to refer to Pieruschka's law instead of Lusser's law.

      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.

      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

      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

      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

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