Abstract
The aim of this paper is to use the simulation of some stochastic processes combined with the stochastic approximation technique, to determine the optimum sequence of moments of time for the reliability control. It is shown that the obtained stochastic approximation control plan is adaptive.
Zusammenfassung
Diese Arbeit hat das Ziel, Simulation einiger stochastischer Prozesse zusammen mit stochastischer Approximation zu benützen, um eine optimale Zeitfolge für die Zuverlässigkeitskontrolle zu bestimmen. Wir zeigen überdies, daß der resultierende stochastische Kontrollplan adaptiv ist.
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References
Barlow, R. E. and Proschan, F. Mathematical Theory of Reliability. John Wiley, New York, 1965.
Iosifescu, M. and Theodorescu R. Random Processes and Learning. Springer Verlag, New York, Berlin-Heidelberg, 1969.
Popescu Ileana. “Generarea cu calculatorul a sistemelor aleatoare cu legături complete”. Stud. cerc. mat.30 (1971), p. 69–74.
Văduva I. “RAVAGE, A Subroutine Library for Computer Generation of Random Variables, Random Vectors and Stochastic Processes”, GMD-Mitteilungen, Nr. 39, GMD-Bonn, 1976.
Văduva, I. Modele de simulare cu calculatorul. Ed. Tehnică, Bucuresşti, 1977.
Venter, J. and Gastwirth, J. L. “Adaptive statistical procedures in reliability and maintenance problems”. Technical Report No. 99, Dept. of Statistics, Stanford Univ. 1964.
Wasan, M. T. Stochastic Approximation. Cambridge at the University Press, 1969.
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Popescu, I., Văduva, I. An optimum plan of reliability control. Computing 44, 159–168 (1990). https://doi.org/10.1007/BF02241865
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DOI: https://doi.org/10.1007/BF02241865