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  • Exact knowledge of the reliability characteristics as the time dependent unavailability coefficient for example, under influence of different ageing processes as well as under different failure types is very useful to the practitioners who have to find the optimal maintenance policy for their equipment. In this paper found models and their solutions have potential to face the optimization task under the conflicting issues of safety and economics. Most of the solved models take into account ageing processes. An increasing tendency lately exists to include aging effects into the risk assessment models to evaluate its contribution. We developed different renewal models taking into account different ageing distributions of failures (Weibull, Erlang, log-normal): models with negligible renewal time, models with periodical preventive maintenance, alternating renewal process with lognormal distribution of failure time, and with two types of failures.
  • Exact knowledge of the reliability characteristics as the time dependent unavailability coefficient for example, under influence of different ageing processes as well as under different failure types is very useful to the practitioners who have to find the optimal maintenance policy for their equipment. In this paper found models and their solutions have potential to face the optimization task under the conflicting issues of safety and economics. Most of the solved models take into account ageing processes. An increasing tendency lately exists to include aging effects into the risk assessment models to evaluate its contribution. We developed different renewal models taking into account different ageing distributions of failures (Weibull, Erlang, log-normal): models with negligible renewal time, models with periodical preventive maintenance, alternating renewal process with lognormal distribution of failure time, and with two types of failures. (en)
  • Tento příspěvek se zabývá generací a popisem základních matematických modelů s obnovou, které jsou ve vybraných případech vyřešeny. V příspěvku je popsáno několik modelů s obnovou, přičemž hlavní těžiště práce spočívá v modelech se zanedbatelnou dobou obnovy. Jsou řešeny modely orientované na popis procesu stárnutí, jako je gamma rozdělení či Weibullovo rozdělení. Se znalostí teorie obnovy jsou tyto procesy matematicky modelovány a následně řešeny. V rámci modelů s údržbou jsou úspěšně vyřešeny soustavy rovnic pro časově závislý koeficient nepohotovosti, tedy pravděpodobnost, že se komponenta nachází v porušeném stavu. Rovnice jsou generovány pro modely s periodickými výměnami, pro exponenciální a Weibullovo rozdělení. Vyřešené modely poukazují na možnosti základních matematických postupů, jako je Laplaceova či Fourierova transformace při jejich řešení. Použití diskrétní Fourierovy transformace přináší uspokojivé výsledky včetně kvantifikace chyby. (cs)
Title
  • Stochastic ageing models
  • Stochastic ageing models (en)
  • Stochastické modely ve spolehlivosti (cs)
skos:prefLabel
  • Stochastic ageing models
  • Stochastic ageing models (en)
  • Stochastické modely ve spolehlivosti (cs)
skos:notation
  • RIV/61989100:27240/07:00015115!RIV08-MSM-27240___
http://linked.open.../vavai/riv/strany
  • 19-27
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM6198910007)
http://linked.open...iv/cisloPeriodika
  • 3
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 452545
http://linked.open...ai/riv/idVysledku
  • RIV/61989100:27240/07:00015115
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • renewal theory; alternating renewal theory; maintenance processes; ageing; unavailability coefficient (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [EC0457303DBA]
http://linked.open...i/riv/nazevZdroje
  • Reliability:Theory & Applications
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 2
http://linked.open...iv/tvurceVysledku
  • Briš, Radim
http://linked.open...n/vavai/riv/zamer
issn
  • 1932-2321
number of pages
http://localhost/t...ganizacniJednotka
  • 27240
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