ISSN 0021-3454 (print version)
ISSN 2500-0381 (online version)
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vol 67 / February, 2024
Article

DOI 10.17586/0021-3454-2018-61-4-298-303

UDC 004.942

METHODICAL APPROACH TO ESTIMATION OF OPERATION EFFECTIVENESS OF INFORMATION SYSTEM WITH TEMPORARY REDUNDANCY

S. A. Sherstobitov
;


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Abstract. A methodical approach to estimation of operation effectiveness of information system with temporary redundancy is proposed. Probability of successful implementation of the information system task is taken for the functioning efficiency index.  An integral equation based on the theorem of total probability is used for quantitative estimation of the probability. The Laplace transform is used to solve the integral equations. Analytic expressions are obtained for the probability density of the excess time, the values of the first and second initial moments, the variance and the standard deviation. An approximate formula is used for the inverse transition from the Laplace image of the obtained solution to the time domain. The amount of information work performed by the system with temporary redundancy is estimated. A distinctive property of the proposed approach is accounting for results of monitoring the information system functioning.
Keywords: information system, temporary redundancy, control reliability, Laplace transform

References:
  1. Cherkesov G.N. Nadezhnost' tekhnicheskikh sistem s vremennoy izbytochnost'yu (Reliability of Technical Systems with Temporary Redundancy), Moscow, 1974, 296 р. (in Russ.)
  2. Ryabinin I.A., Cherkesov G.N. Logiko-veroyatnostnye metody issledovaniya nadezhnosti strukturno-slozhnykh sistem (Logical and Probabilistic Methods of Research of Reliability of Structurally Complex Systems), Moscow, 1981, 264 р. (in Russ.)
  3. Polovko A.M., Gurov S.V. Osnovy teorii nadezhnosti (Fundamentals of Reliability Theory), St. Petersburg, 2006, 702 р. (in Russ.)
  4. Smagin V.A. Nemarkovskie zadachi teorii nadezhnosti (Non-Markov Tasks of the Theory of Reliability), Moscow, 1982, 270 р. (in Russ.)
  5. Khinchin A.Ya. Matematicheskie osnovaniya kvantovoy statistiki (Mathematical Bases of Quantum Statistics), Moscow, 2010, 256 р. (in Russ.)
  6. Ditkin V.A., Prudnikov A.P. Integral'nye preobrazovaniya i operatsionnoe ischislenie (Integrated Transformations and Operational Calculation), Moscow, 1961, 524 р. (in Russ.)
  7. Zalmanzon L.A. Preobrazovanie Fur'e, Uolsha, Khaara i ikh primenenie v upravlenii, svyazi i drugikh oblastyakh (Fourier, Walsh, Haar's transformation and their application in management, communication and other areas), Moscow, 1989, 496 р. (in Russ.)
  8. Smagin V.A., Sherstobitov S.A. Information and Space, 2016, no. 1, pp. 75–79. (in Russ.)