Aggregation/disaggregation method for safety models
Applications of Mathematics, Tome 47 (2002) no. 2, pp. 127-137
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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.
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.
DOI :
10.1023/A:1021733118228
Classification :
15A51, 65C40, 65F10, 65F15
Keywords: Markov chain; stochastic matrix; stationary probability vector; aggregation/disaggregation algorithms
Keywords: Markov chain; stochastic matrix; stationary probability vector; aggregation/disaggregation algorithms
@article{10_1023_A:1021733118228,
author = {Klapka, \v{S}t\v{e}p\'an and Mayer, Petr},
title = {Aggregation/disaggregation method for safety models},
journal = {Applications of Mathematics},
pages = {127--137},
year = {2002},
volume = {47},
number = {2},
doi = {10.1023/A:1021733118228},
mrnumber = {1894665},
zbl = {1090.65515},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1023/A:1021733118228/}
}
TY - JOUR AU - Klapka, Štěpán AU - Mayer, Petr TI - Aggregation/disaggregation method for safety models JO - Applications of Mathematics PY - 2002 SP - 127 EP - 137 VL - 47 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1023/A:1021733118228/ DO - 10.1023/A:1021733118228 LA - en ID - 10_1023_A:1021733118228 ER -
Klapka, Štěpán; Mayer, Petr. Aggregation/disaggregation method for safety models. Applications of Mathematics, Tome 47 (2002) no. 2, pp. 127-137. doi: 10.1023/A:1021733118228
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