Reliability of measurement systems functioning as systems for the protection of dangerous production facilities

A mathematical model for the prediction of failures of systems designed to protect dangerous industrial facilities (damage control systems) based on stochastic branching processes is proposed. A system of linear ordinary differential equations for determining the probabilistic reliability characteri...

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Bibliographic Details
Published inMeasurement techniques Vol. 54; no. 5; pp. 575 - 578
Main Author Rogov, S. L.
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.08.2011
Springer
Springer Nature B.V
Subjects
Analytical Chemistry
Characterization and Evaluation of Materials
Control systems
Differential equations
Failure
Mathematical models
Measurement Science and Instrumentation
Measurement techniques
Measuring instruments
Ordinary differential equations
Physical Chemistry
Physics
Physics and Astronomy
Production management
Random variables
Scandals
Studies
independent failures
generating function
stochastic model
damage control system
branching processes
differential equations
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Summary:A mathematical model for the prediction of failures of systems designed to protect dangerous industrial facilities (damage control systems) based on stochastic branching processes is proposed. A system of linear ordinary differential equations for determining the probabilistic reliability characteristics of a technical system is considered and solved by means of the apparatus of generating functions.
ISSN:0543-1972
1573-8906
DOI:10.1007/s11018-011-9768-y