
Main / Vladimir Nikolaevich Kliachkin
Author: "Vladimir Nikolaevich Kliachkin"
Vladimir Nikolaevich Kliachkin, Doctor of Sciences in Engineering; Professor; graduated from the Mechanical Faculty of Ulyanovsk Polytechnic Institute; Professor at the Department of Applied Mathematics and Informatics of Ulyanovsk State Technical; an author of scientific works in the field of reliability and statistical methods. email: v_kl@mail.ruV.N. Kliachkin,
Anastasiia Valerevna Alekseeva, graduated from the Faculty of Information System and Technologies of Ulyanovsk State Technical University; Postgraduate Student at the Department of Applied Mathematics and Informatics of UlSTU, Standardization Engineer at the Ulyanovsk Design Bureau of Instrumentation; an author of articles in the field of the statistical methods in quality control. email: age89@mail.ruA.V. Alekseeva 

Optimization of parameters of generalized dispersion algorithm at statistical process control
When monitoring a real production process using statistical methods, the question of early detection of violations arises. In most cases, several indicators are monitored simultaneously in the production process, and a change in the values of some indicators leads to a change in others. If there is a dependence of indicators for their monitoring, multivariate statistical control tools are used, in particular generalized variance chart. By varying the parameters of the chart, its efficiency can be significantly increased, this allows minimizing the time the process is in an unstable state. Applying the approach of A. Duncan, which he developed for Shewhart charts, a formula for the expectation of the duration of an unstable state of a process was obtained and a Python program was developed to minimize it. To test the set optimization problem, the calculation of the data of two process indicators is given and the optimal parameters of the generalized variance chart are obtained, at which the duration of the process in an unstable state is minimal.
Scattering stability, generalized variance, duration of unstable process state, optimization task.



Sections: Mathematical modeling
Subjects: Mathematical modeling. 
Vladimir Nikolaevich Kliachkin, Doctor of Sciences in Engineering, Professor; graduated from the Faculty of Mechanics of Ulyanovsk Polytechnic Institute; Professor at the Department of Applied Mathematics and Informatics of Ulyanovsk State Technical University; an author of scientific publications in the field of reliability, statistical methods. email: v_kl@mail.ruV.N. Kliachkin
Anastasiia Valerevna Alekseeva, Postgraduate Studentatthe Departmentof Applied Mathematics and Informatics of UlSTU; graduated from the Faculty of Information System and Technologies of UlSTU; a standardization engineer at the Ulyanovsk Design Bureau of Instrumentation, JSC; an author of scientific publications in the field of statistical methods of quality control. email: age89@mail.ruA.V. Alekseeva


Study of the efficiency of statistical control of hydrounit vibrations
To diagnose the technical condition of the hydraulic unit, vibration monitoring is carried out, as the level of vibration largely determines the quality of operation of the unit. When assessing the stability of vibrations, methods of statistical process control can be used. Many monitored indicators include both independent and correlated indicators. When monitoring correlated indicators, multivariate control methods are used. Midlevel monitoring of the process is based on the Hotelling algorithm. For the analysis of multivariate scattering, the generalized dispersion algorithm is used. The methodology and test results for analyzing the effectiveness of the generalized dispersion algorithm for controlling multidimensional vibration scattering are considered. Regression dependences of the average run length on the characteristics of the process disturbance were constructed, on the basis of which the quality of vibration diagnostics can be estimated. Initially, a lot of samples are constructed that are identical to the studied process of vibration of the hydraulic unit, that is, with a vector of average and covariance matrix corresponding to the training sample obtained in the real process. Based on the results of statistical tests, regression dependences of the average length of the series on the characteristics of the process violation were obtained, on the basis of which the quality of vibration diagnostics can be estimated.
Vibration stability, multivariate scattering, generalized dispersion, average run length.



Sections: Mathematical modeling
Subjects: Mathematical modeling. 
Vladimir Nikolaevich Kliachkin, Ulyanovsk State Technical University, Doctor of Science in Engineering; graduated from the Mechanical Faculty of the Ulyanovsk Polytechnic Institute; Professor at the Department of Applied Mathematics and Computer Science of Ulyanovsk State Technical University; an author of articles in the field of reliability issues and statistical methods. [email: v_kl@mail.ru]V. Kliachkin,
Dmitrii Anatolevich Zhukov, Ulyanovsk Branch of PJSC ‘Tupolev Design Bureau’, graduated from the Faculty of Information System and Technologies of Ulyanovsk State Technical University; a database engineer at the Ulyanovsk Branch of PJSC ‘Tupolev Design Bureau’; Postgraduate Student of the Department of Applied Mathematics and Computer Science; an author of articles in the field of the statistics methods and machine learning. [email: zh.dimka17@mail.ru]D. Zhukov


Algorithm of Diagnostics of Technical Object Operation Using Aggregated Classifiers
The paper addresses the issue of prediction of technical object’s state of health using the known indicators of its operation. The basic data are the known results of the object state estimation by information about previous service: the technical system is healthy or faulty with predetermined values of specified indicators. Such problem may be solved using the machine learning methods, it reduces to binary classification of states of the object. The study showed that diagnostics quality may be improved by means of the binary classification method including aggregated approach, as well as by means of selection of the volume of the validation set and the method of selection of relevant indicators of object operation. In the example (used for the algorithm testing), Fmeasure value, which is the most reliable diagnostics quality measure for unbalanced classes, has increased by 6% (from 0.86 to 0.91), compared with the Support Vector Machine, and by 2%, compared with the bagging of decision trees which is the best basic method for the example considered (F = 0.89). In some cases, this 2% may be of significance from the perspective of the object operation security. Technical diagnostics, healthy state, operation indicators, machine learning, aggregated approach, validation set, crossvalidation.



Sections: Information systems
Subjects: Information systems. 
Dmitrii Anatolevich Zhukov, Ulyanovsk State Technical University, graduated from the Faculty of Information System and Technologies of Ulyanovsk State Technical University; Postgraduate Student of the Department of Applied Mathematics and Computer Science; an author of proceedings in the field of the statistical methods and machine learning. [email: zh.dimka17@mail.ru]D. Zhukov,
Vladimir Nikolaevich Kliachkin, Ulyanovsk State Technical University, Doctor of Engineering; graduated from the Mechanical Faculty of Ulyanovsk Polytechnic Institute; Professor at the Department of Applied Mathematics and Informatics of Ulyanovsk State Technical University; an author of scientific papers in the field of reliability issues and statistical methods. [email: v_kl@mail.ru]V. Kliachkin


The Effect of the Control Sample Volume on the Quality of Diagnostics of the Technical Object State
He problem of predicting the serviceability of a technical object in terms of its performance is considered. The source data are the known results of the evaluation of the state of an object based on the results of the previous operation: If the specified values of controlled indicators technical system intact or defective. Such a problem can be solved by methods of machine learning, it reduces to a binary classification of the states of the object. The quality of diagnostics can significantly depend on many factors: the method of training, the correct allocation of factors characterizing the operation of the object, the volume of the sample, and others. The work studies the effect of the control sample volume on the quality of diagnosis, estimated by the number of mispredicted states using the crossvalidation method. The tests were carried out in the Matlab package, ten different training methods were used: logistic regression, support vector method, decision tree bugging, and others. It is shown that the correct choice of the proportion of the control sample can improve the diagnostic quality to 57%. Technical diagnostics, serviceability of the indicator of functioning, machine learning, control sample, crossvalidation.



Sections: Mathematical modeling
Subjects: Mathematical modeling. 
