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Bounding steady-state availability models with group repair and phase type repair distributions
Carrasco, Juan A.
Universitat Politècnica de Catalunya. Departament d'Enginyeria Electrònica; Universitat Politècnica de Catalunya. QINE - Disseny de Baix Consum, Test, Verificació i Tolerància a Fallades
We propose an algorithm to obtain bounds for the steady-state availability using Markov models in which only a small portion of the state space is generated. The algorithm is applicable to models with group repair and phase type repair distributions and involves the solution of only four linear systems of the size of the generated state space, independently on the number of “return” states. Numerical examples are presented to illustrate the algorithm and compare it with a previous bounding algorithm.
Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica
Markov processes
Markov, Processos de
Attribution-NonCommercial-NoDerivs 3.0 Spain

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