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A comparison of numerical splitting-based methods for Markovian dependability and performability models

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Suñé, VíctorMés informacióMés informacióMés informació
Carrasco, Juan A.Més informacióMés informacióMés informació
Document typeConference report
Defense date1998
PublisherSpringer
Rights accessOpen Access
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder
Abstract
Iterative numerical methods are an important ingredient for the solution of continuous time Markov dependability models of fault-tolerant systems. In this paper we make a numerical comparison of several splitting-based iterative methods. We consider the computation of steady-state reward rate on rewarded models. This measure requires the solution of a singular linear system. We consider two classes of models. The first class includes failure/repair models. The second class is more general and includes the modeling of periodic preventive test of spare components to reduce the probability of latent failures in inactive components. The periodic preventive test is approximated by an Erlang distribution with enough number of stages. We show that for each class of model there is a splitting-based method which is significantly more efficient than the other methods.
CitationSuñe, V.; Carrasco, J. A comparison of numerical splitting-based methods for Markovian dependability and performability models. A: International Conference on Modeling Techniques and Tools for Computer Performance Evaluation. "Computer performance evaluation: modelling techniques and tools: 10th international conference, TOOLS'98, Palma de Mallorca, Spain, September 14-18, 1998: proceedings". Springer, 1998, p. 154-164. 
URIhttp://hdl.handle.net/2117/24747
ISBN3-540-64949-2
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  • QINE - Disseny de Baix Consum, Test, Verificació i Tolerància a Fallades - Ponències/Comunicacions de congressos [60]
  • QINE - Disseny de Baix Consum, Test, Verificació i Circuits Integrats de Seguretat - Ponències/Comunicacions de congressos [78]
  • Departament d'Enginyeria Electrònica - Ponències/Comunicacions de congressos [1.816]
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