Reliability bounds for fault-tolerant systems with deferred repair using bounding split regenerative randomization

A numerically stable method is developed which computes seemingly tight bounds at a small computational cost relative to the model size, when that model size is large, for the unreliability and bounds for the unreliability using, respectively, exact and bounding failure/repair continuous-time Markov...

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Detalles Bibliográficos
Autores: Temsamani, Jamal, Carrasco, Juan A.|||0000-0001-7757-1651
Tipo de recurso: artículo
Fecha de publicación:2013
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/21510
Acceso en línea:https://hdl.handle.net/2117/21510
https://dx.doi.org/10.1080/03610918.2012.700360
Access Level:acceso abierto
Palabra clave:Markov processes
Bounds
Continuous-time Markov chains
Deferred repair
Fault-tolerant systems
Randomization
Markov, Processos de
Àrees temàtiques de la UPC::Matemàtiques i estadística::Probabilitat
Descripción
Sumario:A numerically stable method is developed which computes seemingly tight bounds at a small computational cost relative to the model size, when that model size is large, for the unreliability and bounds for the unreliability using, respectively, exact and bounding failure/repair continuous-time Markov chain models of fault-tolerant systems with exponential failure and repair time distributions, in which repair is deferred until some condition on the collection of failed components is satisfied, and, then, proceeds until reaching the state without failed components, with failure rates much smaller than repair rates and not too different output rates from states with deferred repair.