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Aggregation/Disaggregation Method for Safety Models
Authors:Stepan Klapka  Petr Mayer
Affiliation:(1) Zavod technika, Research and Development Department, AZD Praha Ltd., Zirovnicka 5, 106 17 Praha 10, Czech Republic;(2) Institute of Numerical Mathematics, Faculty of Mathematics and Physics, Charles University, Sokolovska 83, 186 75 Praha 8, Czech Republic
Abstract:The paper concerns the possibilities for mathematical modelling of safety related systems (equipment oriented on safety). Some mathematical models have been required by the present European Standards for the railway transport. We are interested in the possibility of using Markov's models to meet these Standards. In the text an example of using that method in the interlocking equipment life cycle is given. An efficient aggregation/disaggregation method for computing some characteristics of Markov chains is presented.
Keywords:Markov chain  stochastic matrix  stationary probability vector  aggregation/disaggregation algorithms
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