Simulation of transient performance measures for stiff Markov chains
Abdelaziz Nasroallah (2000)
RAIRO - Operations Research - Recherche Opérationnelle
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Abdelaziz Nasroallah (2000)
RAIRO - Operations Research - Recherche Opérationnelle
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Abdelaziz Nasroallah (1997)
Extracta Mathematicae
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Hongbin Li, Qing Zhao, Zhenyu Yang (2007)
International Journal of Applied Mathematics and Computer Science
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This paper proposes a novel approach to reliability evaluation for active Fault Tolerant Control Systems (FTCSs). By introducing a reliability index based on the control performance and hard deadline, a semi-Markov process model is proposed to describe system operation for reliability evaluation. The degraded performance of FTCSs in the presence of imperfect Fault Detection and Isolation (FDI) is reflected by semi-Markov states. The semi-Markov kernel, the key parameter of the process,...
A. Lasota (1973)
Annales Polonici Mathematici
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W. P. Cherry, R. L. Disney (1983)
Applicationes Mathematicae
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Christian Paroissin, Bernard Ycart (2004)
ESAIM: Probability and Statistics
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A sample of i.i.d. continuous time Markov chains being defined, the sum over each component of a real function of the state is considered. For this functional, a central limit theorem for the first hitting time of a prescribed level is proved. The result extends the classical central limit theorem for order statistics. Various reliability models are presented as examples of applications.
Joseph Glover (1990)
Mathematische Zeitschrift
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Štěpán Klapka, Petr Mayer (2002)
Applications of Mathematics
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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...
Roanld K. Getoor, Joseph Glover (1983)
Mathematische Zeitschrift
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