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К вопросу об использовании теоремы умножения вероятностей в расчетах безотказности систем

К вопросу об использовании теоремы умножения вероятностей в расчетах безотказности систем

Abstract

In this paper was presented the analysis of traditional and new models of reliability for systems with serial and parallel connection of the same elements It is shown that the application of the multiplication theorem of probability does not provide a qualitative result of failures in the development of appropriate systems. To calculate the reliability of systems is proposed a method based on the use of the total density of the probability of failure of elements that make up part of its working capacity

Выполнен анализ традиционной и новой модели надежности для систем с последовательным и параллельным соединением одинаковых элементов. Показано, что применение теоремы умножения вероятностей не обеспечивает получение результатов качественно соответствующих развитию отказов в системах. Для расчета безотказности систем предложен метод, основанный на использовании суммарной плотности вероятности отказа элементов, составляющих ее работоспособную часть.

Keywords

ТЕОРЕМА УМНОЖЕНИЯ ВЕРОЯТНОСТЕЙ,MULTIPLICATION THEOREM OF PROBABILITY,ВЕРОЯТНОСТЬ БЕЗОТКАЗНОЙ РАБОТЫ,ПОСЛЕДОВАТЕЛЬНОЕ И ПАРАЛЛЕЛЬНОЕ СОЕДИНЕНИЕ ЭЛЕМЕНТОВ,SEQUENTIAL AND PARALLEL CONNECTION OF ELEMENTS,СУММАРНАЯ ПЛОТНОСТЬ ПОТОКА ОТКАЗОВ,THE TOTAL DENSITY OF FAILURE FLOW,PROBABILITY OF FAILURE-FREE OPERATION

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green