We propose a method to obtain bounds for the steady-state availability using Markov models in which only a small portion of the state space is generated. The method is applicable to models with phase type repair distributions and involves the solution of only 4 linear systems of the size of the generated state space, independently on the number of “return” states. A numerical example is presented to illustrate the method.
CitationCarrasco, J. Bounding steady-state availability models with phase type repair distributions. A: IEEE International Computer Performance and Dependability Symposium. "IEEE International computer performance and dependability symposium, IPDS'98, September 7-9, 1998, Durham, North Carolina: proceedings". Durham, North Carolina: 1998, p. 259-268.
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