05.13.18 Mathematical modeling, numerical methods and software complexes

05.13.18 Mathematical modeling, numerical methods and software complexes
DescriptionIn the process of formation of nonlinear dynamics, the scientific society was able to refute the classical mechanisms of NewtonLaplace by justifying the chaotic nature of the phenomena of the world. However, despite the emergence of new mathematical models and tools, forecasting of nonlinear systems is a difficult task, as not only the quantitative and qualitative characteristics of the factors affecting the system are unknown, but also there is a problem of a small amount of information for forecasting. In this article, the authors consider the linear cellular apparatus as a tool for prediction the final state, to which the system will come based only on its output indicators of previous years. Since the use of a linear cellular automaton for prediction of nonlinear systems is an assumption of the authors, it should be tested on the series of stochastic systems exposed to different risk factors, which together give either a positive response of the system or a negative one. An example of such series is the time series of yields, as it is affected by climatic conditions, the appearance of which, in turn, is also difficult to predict. Prediction of stochastic systems using linear cellular automaton really makes it possible to get adequate and visual models. Due to the fact that the forecast model has a discrepancy with the real result of 015% (both positive and negative), the conclusion is that the predicted value will help either to take measures to ensure that the real value in the future is not lower, or to make sure that the decisions and measures taken are correct, when a value is higher than the forecast

05.13.18 Mathematical modeling, numerical methods and software complexes
DescriptionThe economic and operational reliability of building structures to a large extent depends on the preservation of the bearing capacity of thinwalled structures, in particular, rods with viscoelastic properties. The presence of invisible microdefects in them can lead not only to a decrease in the bearing capacity, but also to the destruction of structures. For the detection of microdefects by acoustic diagnostic methods, it is necessary to know the dependence of the longitudinal strain wave velocity on the rheological properties of the structural material. Such dependences can be revealed by the construction and analysis of mathematical models describing viscoelastic deformation waves formed in rod systems made of a material with rheological properties

METHODOLOGY OF OPTIMAL PLACEMENT OF TRADE NETWORK OBJECTS
05.13.18 Mathematical modeling, numerical methods and software complexes
DescriptionThe article outlines the idea of a methodology for locating distribution centers of a spatially distributed distribution network without restrictions on the territory. In the past fifteen years in Russia, the profitability of offices and retail space has been significantly higher than logistic complexes. At present, it is possible to talk about a change in the investment attractiveness of the segment of distribution centers and storage facilities. The method consists in solving three problems: determining the number of distribution centers that need to be placed using the method of comparing options; determination of the best locations for placement of distribution centers using the ant colony algorithm; identification of the best location from the previously determined ant colony algorithm using the penalty function method. This method of optimal placement of objects of a spatially distributed complex can be applied not only to the distribution network, but also to any transport company with distribution centers, for example, a logistics company, delivery services, etc.

05.13.18 Mathematical modeling, numerical methods and software complexes
DescriptionThe research purpose is identification and justification of the scientific team’s recognition citationbased criteria. Such parameters of the educational environment as modality, latitude, social activity, social coherence, intensity, maturity etc. are assessable on the basis of the primary information about the scientific team’s research activity results. The authors of this article prove that the data about crosscitations within a scientific team is the primary information about the scientific and pedagogical team members’ recognition of their social system (such information is obtainable from modern scientometric databases, e.g. Russian Science Citation Index). The new scientific results of this research are the identified citationbased criteria for the scientific team’s recognition. The theoretical significance of these results is the possibility of using them as a scientific basis for further research in the sociology of science and for the development of the small social systems functioning models; the practical significance is the possibility to analyze the factors for the success of scientific and pedagogical teams’ research activity (i.e. applicability for the research activity monitoring systems). The research methods are: the methods of set, relations and graph theory, the methods of qualimetry, mathematical statistics (including the screeplot method) and linear. The research methodology is based on the sociological approach (viewing the scientific and pedagogical team as a wellestablished social system), the qualimetric approach (declaring the necessity for the multicriterial diagnostics of scientific and pedagogical team’s recognition) and the probabilistic and statistical approach (viewing the scientific and pedagogical team’s recognition citationbased diagnostics as a statistic measurement)

FRAME EXPERT SYSTEMS USING NEURAL NETWORKS
05.13.18 Mathematical modeling, numerical methods and software complexes
DescriptionThe study was carried out with the financial support of the RHNF as part of the research project of the RHF RFBR 170200475а "Application of metaheuristic algorithms for solving direct and inverse problems of optimizing the management of spatially distributed complexes"). The article discusses the use of artificial neural networks in frame expert systems, which in some cases make it possible to bypass a number of limitations of the standard version of frame expert systems. Several options for using neural networks in frame expert systems were considered and a number of tasks to be solved for each

DETERMINATION OF VIDEO IMAGES DELAY TIME
05.13.18 Mathematical modeling, numerical methods and software complexes
DescriptionVideo camera is the source of the image of the object selected for observation or protection. Video cameras are used to collect information, being sometimes indispensable device. When analyzing images, it is important that the condition for the accurate operation of the video frame transmission system is fulfilled. All cameras have a slight delay in image transmission. For image analysis, it is important to know the delay time

05.13.18 Mathematical modeling, numerical methods and software complexes
DescriptionThis article discusses the general principles of developing software applications for generating and verifying practical tasks in mathematical disciplines in the Visual Basic for Application development environment. The article describes the structure of computer programs, the main components of the implemented macros are also investigated, the algorithms of the basic procedures are given. A special place is given to the problems of identifying students and protecting the generated data. We have also given recommendations on the use of developed programs in the educational process

05.13.18 Mathematical modeling, numerical methods and software complexes
DescriptionThis work continues the series of works written by the author on the application of modern scientific methods in the study of human consciousness. In 19791981, two monographs were written devoted to higher forms of consciousness, the prospects of man, technology and society. One of these monographs was twovolume and was called "Theoretical Foundations of the Synthesis of QuasiBiological Robots." In these monographs the author proposed: 1) criterial periodic classification of 49 forms of consciousness, including higher forms of consciousness (HFC); 2) based on this classification, there were psychological, microsocial and technological methods of transition between various forms of consciousness, including methods of transition from the usual form of consciousness to the HFC; 3) informationfunctional theory of the development of technology (including the rule of improving the quality of the basis); 4) information theory of value; 5) 11 functional schemes of technical systems of future forms of society, including remote telekinetic (mental) control systems; 6) the concept of development of society in groups of socioeconomic formations; 7) the concept of determining the form of human consciousness by the functional level of the technological environment; 8) mathematical and numerical modeling of the dynamics of the probability density of states of human consciousness in evolution using the theory of Markov’s random processes. In this study, we carry out a complete automated systemcognitive analysis (ASC analysis) of the periodic criteria classification of forms of consciousness proposed by the author in 1978. To this end, the following tasks are solved in the work: cognitive structuring and formalization of the subject area; synthesis and verification of statistical and systemcognitive models (multiparameter typification of forms of consciousness); systemic identification of forms of consciousness; their typological analysis; investigations of a simulated domain by examining its model. We have also given a detailed numerical example of solving all these problems

05.13.18 Mathematical modeling, numerical methods and software complexes
DescriptionThe article presents ways to estimate the socioeconomic condition of the subjects of the Russian Federation using fuzzy production systems, discriminant analysis and neural networks. This study is based on the thirteen indicators of the socioeconomic condition of the regions of the Russian Federation identified by RIA Rating rating agency. The goal of the work is to develop a software package combining the estimation methods above and allowing to get three alternative estimation options for a subject of the Russian Federation, using these thirteen indicators. The developed program assigns each region an estimation from the following set: AAA– the highest socioeconomic condition, AA  very high, A– high, BBB– above average, BB– average, B– below average, CCC– low, CC– very low, C– the lowest indicators of the socioeconomic conditions in the region of the Russian Federation. The software package is developed in Matlab and has an intuitive interface. The results can be used as an alternative to current methods of estimation of the socioeconomic indicators