"Stochastic ageing models" . "1"^^ . "Bri\u0161, Radim" . "renewal theory; alternating renewal theory; maintenance processes; ageing; unavailability coefficient"@en . "Reliability:Theory & Applications" . "452545" . . "Stochastic ageing models"@en . . "1"^^ . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . . "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." . "19-27" . . . "Z(MSM6198910007)" . "Stochastic ageing models" . . . . "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 . . "RIV/61989100:27240/07:00015115" . "2" . "27240" . . "Tento p\u0159\u00EDsp\u011Bvek se zab\u00FDv\u00E1 generac\u00ED a popisem z\u00E1kladn\u00EDch matematick\u00FDch model\u016F s obnovou, kter\u00E9 jsou ve vybran\u00FDch p\u0159\u00EDpadech vy\u0159e\u0161eny. V p\u0159\u00EDsp\u011Bvku je pops\u00E1no n\u011Bkolik model\u016F s obnovou, p\u0159i\u010Dem\u017E hlavn\u00ED t\u011B\u017Ei\u0161t\u011B pr\u00E1ce spo\u010D\u00EDv\u00E1 v modelech se zanedbatelnou dobou obnovy. Jsou \u0159e\u0161eny modely orientovan\u00E9 na popis procesu st\u00E1rnut\u00ED, jako je gamma rozd\u011Blen\u00ED \u010Di Weibullovo rozd\u011Blen\u00ED. Se znalost\u00ED teorie obnovy jsou tyto procesy matematicky modelov\u00E1ny a n\u00E1sledn\u011B \u0159e\u0161eny. V r\u00E1mci model\u016F s \u00FAdr\u017Ebou jsou \u00FAsp\u011B\u0161n\u011B vy\u0159e\u0161eny soustavy rovnic pro \u010Dasov\u011B z\u00E1visl\u00FD koeficient nepohotovosti, tedy pravd\u011Bpodobnost, \u017Ee se komponenta nach\u00E1z\u00ED v poru\u0161en\u00E9m stavu. Rovnice jsou generov\u00E1ny pro modely s periodick\u00FDmi v\u00FDm\u011Bnami, pro exponenci\u00E1ln\u00ED a Weibullovo rozd\u011Blen\u00ED. Vy\u0159e\u0161en\u00E9 modely poukazuj\u00ED na mo\u017Enosti z\u00E1kladn\u00EDch matematick\u00FDch postup\u016F, jako je Laplaceova \u010Di Fourierova transformace p\u0159i jejich \u0159e\u0161en\u00ED. Pou\u017Eit\u00ED diskr\u00E9tn\u00ED Fourierovy transformace p\u0159in\u00E1\u0161\u00ED uspokojiv\u00E9 v\u00FDsledky v\u010Detn\u011B kvantifikace chyby."@cs . . "230"^^ . "Stochastick\u00E9 modely ve spolehlivosti"@cs . "3" . "RIV/61989100:27240/07:00015115!RIV08-MSM-27240___" . . "Stochastic ageing models"@en . . . . "Stochastick\u00E9 modely ve spolehlivosti"@cs . . . "[EC0457303DBA]" . "1932-2321" .