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** Description:** It was developed the structural model of measuring and control system of geometric parameters of smooth surfaces and calculation algorithm of control’s errors of the first and second kind by simulation and statistical method.It was suggested a new approach to numerical modeling of accuracy of technological process with a uniform distribution of deviations of geometrical parameters of parts from its nominal dimensions. It was obtained the dependence of the proportion of incorrectly rejected parts from the limiting error of measurement during the acceptance inspection. Simulation and statistical modeling was conducted in the environment of LabVIEW, which significantly reduces the computation time, provides the visibility tests during the comparing of alternative choices of measuring instruments. Calculations can be performed with high precision, in which the confidence probability of the risk determination of consumer and producer may not exceed hundredths of a percent.

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Keywords:
** inspection, measurement error, statistical modeling, incorrectly rejected parts, geometric programming

Patsera, S.T., Korsun, V.I., Derbaba, V.A. and Ruzhyn, P.O. (2016), “Alhorytm imitatsiino-statystychnoho doslidzhennia kontrolno-vymiriuvalnoi systemy ta yoho prohramna realizatsiia u Ni LabVIEW” [The algorithm of simulation and statistical modeling of control-measuring systems and software implementation in Ni LabVIEW],