Sinopse: |
Basic notions of the
system multi-state reliability analysis are introduced. The multi-state
series system with degrading components is defined and its exact
reliability function is determined. Three methods of multi-state systems
reliability improvement, a hot single reservation of system components,
a cold single reservation of system components and replacing the system
components by the improved components, are proposed and these improved
systems reliability functions are found. The limit reliability function
for large multi-state systems is introduced. An auxiliary theorem on
limit reliability function of large multi-state series systems, which is
necessary for their approximate reliability evaluation, is presented.
On
the basis of this auxiliary theorem some corollaries are formulated and
proved and then applied to approximate reliability and availability
determination of large multi-state series systems with improved
reliability either by their components hot and cold reservation or by
replacing their components by improved components. Evaluations are given
of multi-state systems reliability functions, their mean lifetimes in
the state subsets and their standard deviations, mean values and
variances of lifetimes up to exceeding the reliability critical state
and availability coefficients. The results are applied to a large
telecommunication network reliability and availability analysis and
optimisation.
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