Elementary methods for failure due to a sequence of Markovian events.
Gani, J. (1998)
Journal of Applied Mathematics and Stochastic Analysis
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Gani, J. (1998)
Journal of Applied Mathematics and Stochastic Analysis
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Cohn, Harry (1979)
International Journal of Mathematics and Mathematical Sciences
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Roberta Jungblut-Hessel, Brigitte Plateau, William J. Stewart, Bernard Ycart (2001)
RAIRO - Operations Research - Recherche Opérationnelle
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In this paper we present a method to perform fast simulation of large markovian systems. This method is based on the use of three concepts: Markov chain uniformization, event-driven dynamics, and modularity. An application of urban traffic simulation is presented to illustrate the performance of our approach.
Xu, Qing, Batabyal, Amitrajeet A. (2002)
Discrete Dynamics in Nature and Society
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Aggoun, L., Benkherouf, L., Tadj, L. (1997)
Journal of Applied Mathematics and Stochastic Analysis
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Marius Losifescu (1979)
Banach Center Publications
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Kalashnikov, Vladimir V. (1994)
Journal of Applied Mathematics and Stochastic Analysis
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D'Amico, Guglielmo, Janssen, Jacques, Manca, Raimondo (2009)
Journal of Applied Mathematics and Decision Sciences
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Ball, Frank G., Milne, Robin K., Yeo, Geoffrey F. (2007)
Journal of Applied Mathematics and Decision Sciences
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Rosenthal, Jeffrey S. (2002)
Electronic Communications in Probability [electronic only]
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Assoudou, Souad, Essebbar, Belkheir (2004)
International Journal of Mathematics and Mathematical Sciences
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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.