Addition and multiplication probabilistic arithmetic operation execution error estimation

Authors

  • Николай Евгеньевич Сапожников Sevastopol national university of nuclear energy and industry Kurchatov str., 7, Sevastopol, Ukraine, 99033, Ukraine
  • Дмитрий Владимирович Моисеев Sevastopol national university of nuclear energy and industry Kurchatov str., 7, Sevastopol, Ukraine, 99033, Ukraine
  • Петр Сергеевич Бейнер Sevastopol national university of nuclear energy and industry Kurchatov str., 7, Sevastopol, Ukraine, 99033, Ukraine
  • Надежда Валерьевна Бейнер Sevastopol national university of nuclear energy and industry Kurchatov str., 7, Sevastopol, Ukraine, 99033, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2013.14762

Keywords:

probabilistic form of representation, arithmetic operations, accuracy, error

Abstract

The most important efficiency component characteristics of information-measuring systems used in nuclear engineering for radiation and gas monitoring, environmental protection and ecological monitoring are survivability, reliability, accuracy while the original information presentation, ability to operate in real time mode, equipment cost, designing cost, production and operation costs. Probabilistic information representation form corresponds to all these characteristics. It is necessary to ensure the implementation of the reforms within the permitted tolerances. This article is devoted to the addition and multiplication probabilistic calculation theoretical errors estimation. The main value of the paper is providing the ground to the choice of the number of statistical tests, which determines the maximum value of the absolute error. The article reveals the factors influencing the accuracy of addition and multiplication probabilistic arithmetic calculations, the number of statistical tests, distribution law of auxiliary random signals, position of converted values within the dynamic range and probabilistic conversion method being among these factors

Author Biographies

Николай Евгеньевич Сапожников, Sevastopol national university of nuclear energy and industry Kurchatov str., 7, Sevastopol, Ukraine, 99033

Doctor of technical sciences, professor, vice-rector on educational work

Department of Computerized systems

Дмитрий Владимирович Моисеев, Sevastopol national university of nuclear energy and industry Kurchatov str., 7, Sevastopol, Ukraine, 99033

Associate professor

Department of Computerized systems

Петр Сергеевич Бейнер, Sevastopol national university of nuclear energy and industry Kurchatov str., 7, Sevastopol, Ukraine, 99033

Postgraduate student

Department of Computerized systems

Надежда Валерьевна Бейнер, Sevastopol national university of nuclear energy and industry Kurchatov str., 7, Sevastopol, Ukraine, 99033

Postgraduate student

Department of Descriptive geometry and computer graphics

References

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Published

2013-06-19

How to Cite

Сапожников, Н. Е., Моисеев, Д. В., Бейнер, П. С., & Бейнер, Н. В. (2013). Addition and multiplication probabilistic arithmetic operation execution error estimation. Eastern-European Journal of Enterprise Technologies, 3(4(63), 40–42. https://doi.org/10.15587/1729-4061.2013.14762

Issue

Vol. 3 No. 4(63) (2013): Mathematics and cybernetics - fundamental ans applied aspects

Section

Mathematics and Cybernetics - applied aspects

License

Copyright (c) 2014 Николай Евгеньевич Сапожников, Дмитрий Владимирович Моисеев, Петр Сергеевич Бейнер, Надежда Валерьевна Бейнер

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