SOME ASPECTS REGARDING TECHNIQUES OF STOCHASTIC APPROXIMATION IN SYSTEMS ANALYSIS. A SURVEY

Authors

  • Gabriel V. Orman Department of Mathematical Analysis and Probability Transylvania University of Brasov, Brasov - 500091, Romania
  • Irinel Radomir Department of Mathematical Analysis and Probability Transylvania University of Brasov, Brasov - 500091, Romania

Keywords:

Control processes, Diffusion processes, Stochastic approximation processes, Stochastic differential equations, Stand-by systems.

Abstract

As it is known the stochastic-approximation procedures require very little prior knowledge of the process and achieve reasonably good results. For this reason such methods work satisfactorily in various applications. Many and very important results are obtained, in particular, by Gnedenko, Solovyev, Venter and Gastwirth. In this paper we refer to some aspects regarding to the problem of the increase of the effectiveness of stand-by systems as a way in which the stochastic-approximation techniques can be applied in practice. Also some aspects concerning the stochastic-approximation plan will be discussed.

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References

Da Prato, G. and Zabczyk J. (1992). Stochastic Equations in Infinite

Dimensions. Cambridge University Press.

Da Prato G. (1998). Stochastic evolution equations by semigroup methods.

Quaderns 11, C.R.M..

Gihman, I. I. and Skorohod, A. V. (1972). Stochastic Differential Equations,

Spriger-Verlag, Berlin.

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Published

2012-01-18

How to Cite

Orman, G. V. ., & Radomir, I. . (2012). SOME ASPECTS REGARDING TECHNIQUES OF STOCHASTIC APPROXIMATION IN SYSTEMS ANALYSIS. A SURVEY. Journal of Reliability and Statistical Studies, 5, 51–61. Retrieved from https://journals.riverpublishers.com/index.php/JRSS/article/view/21955

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