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Evaluation of the adequacy of the statistical simulation modeling method while investigating the components presorting processes

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Category: Geotechnical and mining mechanical engineering, machine building

Last Updated on 13 November 2014

Published on 13 November 2014

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Authors:

V.A. Derbaba, State Higher Educational Institution “National Mining University”, Assistant Lecturer of the Department of Technology of Mining Engineering, Dnipropetrovsk, Ukraine

V.V. Zil, Cand. Sci. (Tech.), Associate Professor, State Higher Educational Institution “National Mining University”, Deputy Head of the Department of Technology of Mining Engineering, Dnipropetrovsk, Ukraine

S.T. Patsera, Cand. Sci. (Tech.), Senior Research Fellow, State Higher Educational Institution “National Mining University”, Senior |Lecturer of the Department of Technology of Mining Engineering, Dnipropetrovsk, Ukraine

Abstract:

Purpose. Evaluation of the adequacy of the statistical simulation modeling method developed for examining the measurement error effects on the results of components presorting while their acceptance inspection.

Methodology. Parameters of components presorting calculated by statistical modeling method are compared with parameters of presorting which were determined by common alternative methods:

- Graphic-analytical – according to the National Standard ГОСТ 8.051-81 (appendix 2);

- Numerical integration of definite integrals in the equations of the mathematical model of the process.

Findings. For the purpose of the measurement error distributions according to the normal law as well as equal probability law it is shown that the calculated parameters do not differ significantly from the parameters listed in the standard. Thus the adequacy of the statistical simulation modeling method is confirmed.

It was found that the method is distinct in simplicity of calculations on a PC, clearness of the obtained results and the possibility of their accurate interpretation.

The statistical simulation modeling method can be used for modeling of both random and systematic measurement errors.

Originality. The mathematic models and statistical simulation modeling methods of acceptance inspection of the geometries of components and calculation of the parameters of their presorting are developed.

Practical value. On the basis of the developed mathematical models, the guidelines on the computer modeling using the method of Monte Carlo presorting processes during the acceptance inspection are compiled. The realization is carried out on the basis of Microsoft Excel program. Methodical instructions are used in academic activities. They can be used in the process of drafting business plans for making decisions during pre-production, which is characterized by a stochastic character, including for the purposes of enterprises of mining machinery.

References:

1. Shkaruba, N.Zh. (2006), “Development of a comprehensive methodology of choice of the means of measurements of linear dimensions at repair of agricultural machinery”. Abstract of Cand. Sci. (Tech.) dissertation, V.P. Goryachkin Moscow State Agroengineering University, Moscow, Russia.

Шкаруба Н.Ж. Разработка комплексной методики выбора средств измерений линейных размеров при ремонте сельскохозяйственной техники: автореф. дис. на соиск. учен. степ. канд. техн. наук: спец. 05.20.03 „Технологии и средства техн. обслуживания в сел. хоз-ве“ / Н.Ж. Шкаруба // Моск. гос. агроинженер. ун-т им. В.П. Горячкина. -М., 2006. -17 с.

2. Danilevish, S.B., Kolesnikov, S.S. (2006), Metrologiya [Metrology], Textbook for high schools, Logos, Moscow, Russia.

Данилевич С.Б. Оценка доверительной вероятности при вычислении рисков заказчика и производителя методом имитационного моделирования / С.Б. Данилевич, С.С. Колесников // Методы менеджмента качества. − 2006. – № 3. – С. 37 – 39.

3. Patsera, S.T., Korsun, V.I., Kurdyukov, S.S. (2006), “Study of influence of the expanded of uncertainty of the second sort on the manufacturer and the customer risks using the method of statistical modeling”, Sistemy obrobky informatsii, no.7(56), pp. 62-65.

Пацера С.Т. Изучение влияния расширенной неопределенности второго рода на риски изготовителя и заказчика методом статистического моделирования / С.Т. Пацера, В.И. Корсун, С.С. Курдюков // Системи обробки інформації. -2006. № 7(56). – С. 62-65.

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