Object

Alternative title:

Równania Chapmana–Kołmogorowa dla pełnego zbioru rozróżnialnych stanów diagnostycznych obiektu

Contributor:

Józef ŻUREK

Abstract:

The Chapman-Kolmogorov equations indicated in the title are a pretext to demonstrate a mathematically unrecognised truth about the effect of the reliability states of elements (which are generally understood as “subjects”) on the reliability states of a complete set of the same elements, which is called an object. Of importance here are not just the reliability characteristics of individual elements, but the independencies, dependencies and interdependencies between the elements. The relations were described in the language of graph theory. The availability matrix of the language of graph theory was translated to determine the size and probabilities of distinct reliability states of the object, the derivatives of their similarities, and the transition rates adequate to those derivatives. This article continues the research work which identifies the relationship of the properties of a complete set of distinct reliability states of an object with a widely understood theory of systems. The previous papers referred, among others, to: risk, safety, structure entropy, the reliability of the results of checks, and – most of all – technical diagnostics, both in the area of its algorithms and of its optimisation. The object’s serial reliability structure was not assumed in any of those papers, recognising that it would be a serious abuse. The research results were referred to all possible structures of a three-element object. It is believed that by virtue of the block diagrams appropriate to those structures, the readers hereof are provided with a realistic opportunity to practically (and inexpensively) verify the ideas presented here.

Place of publishing:

Warszawa

Publisher:

Wojskowa Akademia Techniczna

Date created:

2010 r.0

Date submitted:

2018-12-14

Date issued:

2018-12-30

Extent:

B5

Identifier:

oai:ribes-88.man.poznan.pl:2526

Call number:

DOI 10.5604/01.3001.0012.7332

Electronic ISSN:

2720-5266

Print ISSN:

2081-5891

Language:

angielski

Rights holder:

Wojskowa Akademia Techniczna

Starting page:

49

Ending page:

70

Volume:

9

Keywords:

Chapman-Kolmogorov equations, digraph, complete set, distinct reliability states, transition intensity