Reliability Theory


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Reliability Theory

 

a scientific discipline that develops and studies methods of ensuring the operational efficiency of products, equipment, systems, and the like. Reliability theory involves (1) the use of reliability indexes, (2) the justification of requirements for reliability taking into account economic and other factors, and (3) the development of recommendations for ensuring specified requirements for reliability at the stages of design, production, storage, and operation.

Quantitative reliability indexes are introduced into reliability theory by the construction of mathematical models of the given objects. Different mathematical methods are used in reliability theory; particularly useful are the methods of probability theory and mathematical statistics because the events that describe the reliability indexes, such as the instant of failure or the duration of maintenance, are often random. Analytical methods from the theory of random processes are used to calculate the probability of failure-free operation over a given period. The calculation of quantitative reliability indexes taking into account the feasibility of repairing equipment that has failed is in many ways similar to the design of systems in queuing theory. Analytical methods for calculating reliability are combined with computer simulation methods.

REFERENCES

Shor, Ia. B. Statisticheskie melody analiza i kontrolia kachestva i nadezhnosti. Moscow, 1962.
Gnedenko, B. V., Iu. K. Beliaev, and A. D. Solov’ev. Matematicheskie metody v teorii nadezhnosti. Moscow, 1965.
Optimal’nye zadachi nadezhnosti. Edited by I. A. Ushakov. Moscow, 1968. (Translated from English.)
Barlow, R. E., and F. Proschan. Matematicheskaia teoriia nadezhnosti. Moscow, 1969. (Translated from English.)
Barzilovich, E. Iu., and V. A. Kashtanov. Nekotorye matematicheskie voprosy teorii obsluzhivaniia slozhnykh sistem. Moscow, 1971.
Spravochnik po nadezhnosti, vols. 1–3. Moscow, 1969–70. (Translated from English.)
Kozlov, B. A., and I. A. Ushakov. Spravochnik po raschetu nadezhnosti. Moscow, 1974.
References in periodicals archive ?
Theory of generalizability: A liberalization of reliability theory. British Journal of Mathematical and Statistical Psychology, 16, 137-163.
The safety factor method for service life prediction is based on reliability theory for structural design.
Multistate system reliability theory has been a research topic for many years, for instance, extension of the system from two-state to multistate reliability [10,11] to compute the mean performance level at any given time t and stochastic evaluation and bound computation of multistate coherent systems [12], further, studies on application of reliability analysis to GNSS data processing [2], a comparative GNSS reliability analysis [13], reliability analysis under GNSS weak signals [14], accuracy and reliability of multi-GNSS real-time precise positioning [15], and robust reliability testing in case of signal degradation environment [16, 17].
In contrast, the reliability theory is more suitable for studying the stability of water-resistant floor in mining.
He describes the elementary concepts of reliability theory; commonly used statistical methods for evaluating component reliability; repairable systems and maintenance planning models; and statistical analysis of repairable system data, warranties, reliability growth, dependent components, and bivariate reliability.
Next, reliability theory is utilized to evaluate the risk level associated with limited sight distance for each ASD modelling method.
Reliability theory is a science that studies the probability of failures in technical systems and their components (subsystems, set, subset, parts) [1].
A solid inter-disciplinary research foundation will be built combining the knowledge from the biological and chemical engineering, stochastic control, reliability theory, and manufacturing systems engineering.
Originally the approach to the computer system parts reliability estimation was a little different from the hardware reliability estimation and it consisted in application of well-known statistical methods of classical reliability theory in a new technological branch which laid the corner stone of the individual trend like the software reliability theory [22].
His discussion of distinct matter focuses on noncausal operations that are permanent, irresistible, and universal (Treatise 1.4.1.1), showing that the belief in causal inference and the belief in distinct matter cannot both be defeasibly justified and that the reliability theory of justification explains why only the belief in causal inference can be defeasibly justified.
The second complex system design theory, called "high reliability theory," accepts normal accident theory's framework, but not its conclusions.

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