B. Tombuyses, REDUCTION OF THE MARKOVIAN SYSTEM BY THE INFLUENCE GRAPH METHOD - ERROR BOUND AND RELIABILITY COMPUTATION, Reliability engineering & systems safety, 63(1), 1999, pp. 1-11
Citations number
17
Categorie Soggetti
Operatione Research & Management Science","Engineering, Industrial
In a previous article, a new method allowing the treatment of large Ma
rkovian problems was presented. Based on a graph describing the influe
nces between the components of the system, it performs successive appr
oximate aggregations on the exact Markovian system to reduce its size.
The main drawback of this method, as of any approximate method, is to
assess its validity. That is why we develop a new presentation of the
method here and we define, from this presentation, error bounds for t
he approximate results. They are then tested for two applications, one
being very large with more than 10(30) states for the exact Markovian
system. We also extend the method, initially defined for availability
problems, to reliability problems. (C) 1998 Elsevier Science Ltd.