ISSN 1991-2927

## Keyword: "time series"

 I. Kuvaiskova, A. Aleshina
 The Use of Adaptive Regression Modeling in the Description and Forecasting of the Object Technical State The safe operation of the technical object is an important task. The technical object management system often includes a subsystem for monitoring its settings, so, the object management solution is made due to its technical condition. The effectiveness of such a subsystem essentially depends on the accuracy of prediction of the object technical parameters. Therefore, it is necessary to build adequate mathematical models of the controlled object parameters and their subsequent use for the object state forecasting and, accordingly, for providing effective and operational management decisions. In order to solve the formulated problems, the article describes the algorithms of mathematical modeling and forecasting of the object technical state on the basis of the adaptive regression modeling. The algorithms allow several times increase of the prediction accuracy. High accurate results of the object state forecasting are used in the decision-making process related to the object management. The efficiency of the offered algorithms is investigated by the example of modeling and forecasting of the object technical state.Adaptive regression modeling, time series, forecasting, technical object.
 2016_ 4

Sections: Mathematical modeling

Subjects: Mathematical modeling.

 N. Yarushkina, E. Egov
 The Algorithm for Identifying New Anomalies in Technical Time Series Diagnosis The article discusses the ways to diagnose the time series in order to detect anomalies in them. The authors propose to determine the number of each point of the values of the two parameters. Also a set of situations related to changes in the values of these parameters between the points should be prepared. While analyzing series, the frequency of each situation occurrence should be determined. If the probability of situations occurrence is less than 0.01, then such situations may be attributed to an abnormal ones. On the basis of the previous situation choice, a template that allows identifying these anomalies in the future is created. As one of the pairs for situations identification, the entropy measures values obtained from fuzzy time series are proposed to use. The first measure of entropy is calculated by the value of the membership function point compared to the fuzzy label. The second measure of entropy is calculated on the basis of the deviation of the actual value trends from the forecasting one. Series analysis is performed on the basis of the second pair. This pair represent “fuzzy label - fuzzy trend” one. This pair was introduced to identify long-term stay in the areas of certain states, which can be attributed to the abnormal ones. It also describes the algorithm to identify previously unknown anomalies and search of anomalies patterns. The experiment was carried out in order to check the efficiency of the algorithm. Time series of physical quantities characterizing work of important units of helicopter engines in which it was necessary to reveal the presence of defects were investigated. The main interest of this paper is the anomaly detection algorithm based on the measure of the uncertainty of the time series. The article is intended for professionals diagnosing technical systems.Entropy measure, diagnosis, time series, anomalies.
 2016_ 2

Sections: Information systems

Subjects: Information systems.

 N. Yarushkina, V. Voronina, I. Timina, E. Egov
 Forecasting Technical System State With the Application of Entropy Measure for Fuzzy Time Series Diagnosis This article discusses the ways to forecast time series of technical systems on the basis of the hypothesis of trends conservation, the hypothesis of trends stability and the hypothesis of forecasting for a specified period as well as forecasting with the use of the measure of entropy for fuzzy time series. The method of calculating the measure of entropy for fuzzy time series has been described in the previous issue of the journal. The software system of diagnosing and forecasting fuzzy time series based on the measure of entropy is also considered in the article. The system is divided into several modules, with the opportunity to use some of them in the other systems of time series prediction. The main interest of this paper is the prediction algorithm that was designed on the basis of time series measure of entropy and the comparison of the two approaches to forecasting fuzzy time series. The comparison was made on the basis of the values of MAPE, MSE, RMSE errors obtained from values of 10 rows predicted by two programs. The first program is based on the selection of one of the hypotheses, the second one described in this article is based on the prediction with the use of measure of entropy. This article is intended for professionals diagnosing technical systems.Measure of entropy, prediction, time series.
 2015_ 3

Sections: Mathematical modeling

Subjects: Mathematical modeling, Automated control systems.

 N. Yarushkina, I. Timina
 Automated System Model and Control Tools on the Base of Program Code Metrics History The article discusses the issue of project management associated with the development of software products through using automated version control system (VCS) and the analysis of program code metrics. This problem is solved through studying VCS functioning with the further use of the data analysis component of the project management based on the application of the time series (TS) model, the construction of fuzzy TS trends, clustering for dominant fuzzy trends separation, extracting time series predicate, the similarity measure of time series, their correlation, prediction and correction of the forecast. Time series of the number of errors in the total number of changes, the number of improvements in the same number of changes, the number of new functions were used as program code metrics. The hypothesis of the trend permanency was chosen for prediction. The given approach was examined on the examples.Version control system, time series, fuzzy trend, forecasting, forecast adjustment.
 2015_ 3

Sections: Computer-aided engineering

Subjects: Computer-aided engineering, Automated control systems.

 N. Yarushkina, V. Voronina, E. Egov
 Entropy Application to the Diagnosis of Technical Time Series The article deals with the method for time series diagnosis based on the measure of the time series uncertainty. The formula for finding the measure of entropy for fuzzy time series is determined. The algorithm for finding the measure of entropy for fuzzy time series is of particular interest. A model of expert diagnostic rules for aircraft accessories is developed. The models of the behavior of objects such as the main gearbox and power plant engine helicopter are offered. Interpretation of natural experiment for the purpose of diagnosis of helicopter units held by analyzing the quality of the built models. A set of programs for mathematical modeling and predicting the behavior of aircraft accessories based on fuzzy measure of the uncertainty of the time series is developed. The model showed high accuracy in determining the characteristics of the time series and the identification of dangerous areas while experimenting. The developed algorithm can be successfully applied for the diagnosis and prediction of time series. This article is intended for specialists diagnosing technical systems.Measure of entropy, diagnosis, time series.
 2015_ 2

Sections: Information systems

Subjects: Information systems.

 T. Afanasieva
 Forecasting Time-series Local Trends in the Big Data Analysis According to the forecasts in the field of IT (IDC) the growth of the stored data volumes obtained from various sources will be doubling every two years until 2020. This tendency will remain stable in the conditions of the data increase generated in the OLTP systems, on social networks and by devices in case of mutual exchange of information during the intensive development of the data warehouse, "cloud computing", "the Internet of things" and "digital production" technologies. All that gives rise to a considerable interest in the Big Data analysis and processing from both business and a scientific community. The technology of analytical OLAP-systems for the analysis of the large data, focused on providing a visualization of the multidimensional data and the formation of interactive reports, is one of the most popular in decision support and Business intelligence systems. A promising technology in the field of analysis in addition to the OLAP-systems and aiming at identifying hidden patterns in the large data, is a technology of time series data mining. The most important tasks of time series data mining certainly should include forecasting time series points. A scientific basis of the methodology of the local trends forecasting as fuzzy trends for univariate time series (numeric and non-numeric) which lead to the fuzzy time series are discussed in this article. The solution to this problem is interesting both in theoretical and practical aspects. It is known that fuzzy time series models are proven themselves for a short length time series, and for a long length time series a large computation is required. This paper proposes a k-trend algorithm for extracting local trends out of the big data, considered as a time series, and a time series model in terms of fuzzy local trends is shown. An effect of applying the proposed approach, expressed in a significant reduction of the computational cost when using a fuzzy time series model is shown.Big data, fuzzy models, time series, local trends, forecasting.
 2014_ 4

Sections: Mathematical modeling

Subjects: Mathematical modeling, Automated control systems, Artificial intelligence.

 V. Moshkin, N. Yarushkina
 Ontological Time-series Analysis System This article describes a semantic approach to analyzing the time series as an example of local area network (LAN) status parameters using the ontology of problem area. We represent a formal model of the OWL-ontology for the considered subject domain, an ontological view model for a set of production rules. An inference algorithm for LAN architecture modification during its status estimation while artificially increasing traffic is proposed.We solved the aggregation problem of the different approaches to expert knowledge representation through the product knowledge integration into the ontological model using SWRL- rules. In addition, the implementation of this algorithm in the time-series analysis software TSAnalyzer is considered.The results of computational experiments on LAN-status simulation while artificially increasing traffic as an example of the LAN of the Center for Development of Electronic Media Technologies at Ulyanovsk State Technical University are represented. We summarized the research results conducted and evaluated further research findings expectation in this domain.Ontology, time series, data mining, semantics.
 2014_ 2

Sections: Artificial intelligence

Subjects: Artificial intelligence, Automated control systems.

 I. Kuvaiskova, A. Aleshina
 Increasing the Efficiency of Technical Object Control System With the Use of Adaptive Dynamic Regression Modeling of the Time Series The authors suggest using a software package of early warning emergency situations in automatic control systems. This package is based on forecasting of interdependent time series of a management object state controlled characteristics. The system performance effectiveness is proved by estimating the probability of erroneous decision acceptance and the availability factor by means of the hydroelectric unit example.Emergency situation, early warning, information and mathematical system, time series, probability of erroneous decision-making, availability factor.
 2013_ 4

Sections: Software and mathematical support of computers, computer systems and networks

Subjects: Information systems.

 A. Romanov
 Time-Series Modeling and Forecasting Based on F-Transformation Method The paper describes a forecast method for components of vector trend, an algorithm of F-transform for time series, solving of remainders, inverse F-transform, reconstruction of time se-ries based on forecasted trends, as well as analyses the method application.F-transform, forecast, time series.
 2012_ 2

Sections: Mathematical modeling, calculi of approximations and software systems

Subjects: Mathematical modeling.

 T. Afanasyeva, N. Yarushkina
 Efficiency Analysis of Fuzzy Trend Model for Forecasting of Time Series The article describes a new model for the analysis of time series for the forecast of small time series. The base of the new model is formalization and identification of a new object of time series - a fuzzy trend. The suggested model does not have assumptions used in stochastic simulation, and is easy for the implementation and developed for linguistic interpretation of results. The experiment studies of the accuracy figures of the suggested model reveal its adequacy for forecasting of small time series and competitiveness in comparison with its analogues.Forecasting, time series, fuzzy trend, accuracy figures.
 2011_ 4

Sections: Artificial-intelligence systems

Subjects: Artificial intelligence, Automated control systems, Mathematical modeling.

 N. Yarushkina, V. Voronina, T. Afanasyeva
 Diagnostics of Helicopter Nodes on Basis of a Model of Grained Time Series In the present paper the authors consider a solution to the problem of diagnostics of helicopter nodes. The diagnostics is carried out by analyzing time series of key physical quantities, based on an expert rulebase containing statements on the significance of trends of change of these variables. In the paper, some expert rules for the helicopter nodes such as a helicopter propulsion engine and main gearbox, are also folmulated.Diagnostics, time series, helicopters, expert rulebase.
 2011_ 4

Sections: Artificial-intelligence systems

Subjects: Artificial intelligence, Information systems.

 T. Afanasyeva
 Solution of Time-series Data-mining Tasks Within Structural and Linguistic Approach The article gives a description of a new structural and linguistic approach intended for the implementation of time-series data-mining. The orientation of this approach to the analysis of time series of different length and extraction of knowledge on behaviour of time series in the form of fuzzy elementary tendencies as well as the presentation of the results in the linguistic form in bounded natural language, allows extending the group of potential users of systems implemented using the principles of structural and linguistic approach.Data mining, time series, fuzzy tendency, knowledge extraction, structural and linguis-ticapproach, modeling.
 2010_ 2

Sections: Theoretical issues of automation of command and control processes

Subjects: Artificial intelligence, Information systems.

 N. Yaroushkina, T. Afanasyeva, I. Perfilyeva
 Integral Method of Fuzzy Modeling and Analysis of Fuzzy Tendencies The article deals with a new method of modeling of time series, which integrates intel-lectual methods of task solution concerning knowledge extraction from time series not only in numerical form but also in the form of linguistic description of levels and elementary tendencies.Fuzzy model, time series, fuzzy tendency, knowledge extraction, forecast.
 2010_ 2

Sections: Theoretical issues of automation of command and control processes

Subjects: Artificial intelligence.

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