. . . . . "Stochastic Ageing Models under Two Types of Failures" . "Two types of concurrent failures are occurring in many practical situations - monitored and dormant. Monitored failures are repaired immediately after they have occurred, whereas dormant failures are detected only by periodical inspections and subsequently repaired. This paper describes the possibilities of their modeling. Time dependent availability is derived in selected cases. We developed different renewal models taking into account different distributions of failures (Weibull, Erlang, lognormal) respecting ageing process: * models of monitored failures with negligible renewal time * ageing models of dormant failures with periodical preventive maintenance * alternating renewal process for monitored failures with lognormal distribution of failure time * alternating renewal models with two types of failures, etc. In the case when analytical solution was complicated we used numerical solution to compute renewal function. As basic technique to solve the renewal equation we used Laplace t" . "European Commission JRC EUR 22887 EN" . "Bri\u0161, Radim" . . "Cepin, Marko" . . "Stochastic Ageing Models under Two Types of Failures"@en . "2"^^ . . "Two types of concurrent failures are occurring in many practical situations - monitored and dormant. Monitored failures are repaired immediately after they have occurred, whereas dormant failures are detected only by periodical inspections and subsequently repaired. This paper describes the possibilities of their modeling. Time dependent availability is derived in selected cases. We developed different renewal models taking into account different distributions of failures (Weibull, Erlang, lognormal) respecting ageing process: * models of monitored failures with negligible renewal time * ageing models of dormant failures with periodical preventive maintenance * alternating renewal process for monitored failures with lognormal distribution of failure time * alternating renewal models with two types of failures, etc. In the case when analytical solution was complicated we used numerical solution to compute renewal function. As basic technique to solve the renewal equation we used Laplace t"@en . . "1"^^ . "It\u00E1lie" . "Stochastic Ageing Models under Two Types of Failures" . "Z(MSM6198910007)" . . . "[AE6D61E6027B]" . . . "monitored and dormant failures; renewal theory; availability; alternating renewal process"@en . "Ve v\u011Bt\u0161in\u011B situac\u00ED v praxi se vyskytuj\u00ED dva druhy poruch sou\u010Dasn\u011B: zjevn\u00E9 a nezjevn\u00E9 (skryt\u00E9). Zjevn\u00E9 poruchy jsou zpravidla opraveny hned pot\u00E9, co se vyskytly, zat\u00EDmco skryt\u00E9 poruchy jsou detekov\u00E1ny pouze p\u0159i periodick\u00FDch prohl\u00EDdk\u00E1ch a n\u00E1sledn\u011B opraveny. Tento p\u0159\u00EDsp\u011Bvek popisuje mo\u017Enosti jejich modelov\u00E1n\u00ED. Pro vybran\u00E9 p\u0159\u00EDpady je odvozena \u010Dasov\u011B z\u00E1visl\u00E1 pohotovost. Jsou vyvinuty r\u016Fzn\u00E9 modely s obnovou p\u0159i uva\u017Eov\u00E1n\u00ED r\u016Fzn\u00FDch model\u016F poruch (Weibull, Erlang, lognormal) respektuj\u00EDc\u00EDch procesy st\u00E1rnut\u00ED: modely zjevn\u00FDch poruch se zanedbatelnou dobou obnovy, st\u00E1rnouc\u00ED modely sktyt\u00FDch poruch s periodickou \u00FAdr\u017Ebou, alternuj\u00EDc\u00ED proces s obnovou s ob\u011Bma typy poruch. Pokud analytick\u00E9 \u0159e\u0161en\u00ED bylo komplikovan\u00E9, bylo po\u017Eito numerick\u00FDch metod k v\u00FDpo\u010Dtu funkce obnovy."@cs . "452547" . "RIV/61989100:27240/07:00015093" . "Stochastick\u00E9 modely st\u00E1rnut\u00ED pro dva typy poruch"@cs . . "RIV/61989100:27240/07:00015093!RIV08-MSM-27240___" . . "ISSN 1018-5593" . . "27240" . . "Stochastic Ageing Models under Two Types of Failures"@en . "Stochastick\u00E9 modely st\u00E1rnut\u00ED pro dva typy poruch"@cs .