scholarly journals THE MULTIFACTOR MATHEMATICAL MODEL FOR CONSTRUCTING A MULTITUDE OF CONSISTENT EDUCATIONAL PATHS FOR TRAINING FULL STACK SPECIALISTS

2020 ◽  
Vol 4 ◽  
pp. 486
Author(s):  
Vyacheslav Kozlov ◽  
Alexander Guryanov ◽  
Elena Alonceva
Keyword(s):  
Mathematical Model ◽  
Labor Market ◽  
Cost Efficiency ◽  
Educational Program ◽  
Specialist Training ◽  
Educational Organization ◽  
Variable Parameters ◽  
Educational Paths ◽  
The Mathematical Model ◽  
Technology Startups

The modern labor market, especially in the field of information technology startups, requires the training of a sufficiently large number of specialists with competencies in creating the minimum viable product (MVP). The educational organization should be able to quickly form the trajectory of specialist training based on the challenges of the labor market, taking into account the dynamics of its change, while maintaining the integrity and consistency of the educational program. The mathematical model of the formation of an educational program is proposed taking into account a large number of variable parameters, which allows one to construct many possible training paths for specialists and select the optimal ones according to the criteria of cost, efficiency or laboriousness.

scholarly journals THE MATHEMATICAL MODEL FOR ESTIMATING THE PROBABILITY OF RISK OF INCOMPETENT SPECIALIST GRADUATION

2020 ◽  
Author(s):  
Ganna Khimicheva ◽  
◽  
Antonina Volivach ◽  
Keyword(s):  
Mathematical Model ◽  
Educational Program ◽  
Pairwise Comparison ◽  
Educational Programs ◽  
Educational Process ◽  
Program Quality ◽  
Statistical Characteristics ◽  
Multidimensional Space ◽  
Standards And Guidelines ◽  
The Mathematical Model

The article presents the results of research for the mathematical model for estimating the probability of risk of incompetent specialist graduation. The mechanisms and tools to determine the probability of risk of incompetent specialist graduation have been developed in the course of the research. The goal tree method has been used as a mechanism to determine the relationship between the structural components of the educational process and the educational program. Using this method, the structuring of 9 criteria by which the educational program quality is evaluated has been carried out. That is, its strengths and weaknesses have been identified. In turn, as a tool for estimating the probability of an educational process (educational program) risks and the graduation of an incompetent specialist, it has been proposed to use a regression mathematical model. To build a mathematical model, an active experiment, a qualimetric approach, a method of regression analysis, and 16 conditional educational programs that met the "Standards and Guidelines for Quality Assurance in the European Higher Education Area" (ESG) have been used. The construction of the model has been carried out according to a specially designed scheme, which included 5 stages. In the first stage, a group of experts was formed and their consistency was determined with the help of the "HEI Experts" software. In the second stage, six groups of indicators were identified, which further estimated the educational process (educational program) quality. For this purpose, the experts used the method of pairwise comparison to select 9 unit indicators, which further estimated the levels of compliance of 16 conditional educational programs. The estimation was conducted according to standardized quality indicators that are inherent in the real educational process (educational program). In the third stage, a robust plan of the experiment was constructed using the method of pseudo-random LP-τ numbers uniformly distributed in multidimensional space. According to the plan, a working matrix of the experiment was formed. Then, the group of experts formed in the first stage carried out the percentage estimation of the probability of risk of incompetent specialist graduation. In the fourth stage, a mathematical model was built using the PRIAM (planning, regression, and model analysis) software. This model allows us to assess nine factors that affect the probability of risk of incompetent specialist graduation. In the fifth stage, the statistical characteristics of the model were tested. According to the test results, it was proved that the model is informative, adequate, and stable, both in terms of structure and calculations. At the same stage, the marginal surfaces were constructed and the forces of influence of regressors (indicators) on the probability of risk of competent/incompetent specialist graduation were determined. According to the results of research, it has been proved that such indicators as compliance of the applicants (bachelors) level with the second Master's level and the level of considering labor market employers (stakeholders) requirements have the strongest impact on the competence of the future specialists. The proposed model allows us to estimate the factors influencing the efficiency (effectiveness) of the educational process and to determine the probability of the risk of competent/incompetent specialist graduation.

scholarly journals Mathematical modeling of physical processes in the complex for testing of induction machines

2018 ◽  
Vol 239 ◽  
pp. 01055 ◽  
Author(s):  
Viktor Kharlamov ◽  
Denis Popov
Keyword(s):  
Mathematical Model ◽  
Frequency Converter ◽  
Electrical Energy ◽  
Induction Machines ◽  
Test Scheme ◽  
Load Testing ◽  
Variable Parameters ◽  
Asynchronous Machines ◽  
The Mathematical Model ◽  
The Given

The paper is devoted to the simulation of the test complex designed for energy-efficient load testing of induction machines by the method of mutual load with the exchange of electrical energy through the network. It is noted that for other similar test schemes, the mathematical model will have a slightly different form, but it will be identical in terms of asynchronous machines, network and frequency converter. The compiled mathematical model of the test complex allows studying the variable parameters of the system in all elements of the test scheme in static and dynamic modes of operation as well. The synthesized mathematical model can be used to determine the parameters of the equipment in the designed test complexes if the parameters of the test and load machines are known. The results of simulation of the test complex for the given parameters of the test and load induction machines are obtained.

scholarly journals HYBRID MODEL FOR CONSTRUCTING INDIVIDUAL EDUCATIONAL TRAJECTORY BASED ON DIGITAL TWINS

2021 ◽  
Vol 2021 (4) ◽  
pp. 126-136
Author(s):  
Nadezhda Kaznacheeva ◽  
Aleksey Poletaykin ◽  
Lyubov' Danilova Filippovna ◽  
Sergey Gennadievich Sinitsa
Keyword(s):  
Mathematical Model ◽  
Labor Market ◽  
Educational Program ◽  
Structural Model ◽  
Educational Standards ◽  
Regulatory Requirements ◽  
Educational Content ◽  
Digital Twin ◽  
Proactive Management ◽  
Digital Twins

The article focuses on building an individual educational trajectory of a university student. This concept is formalized in the form of a hybrid mathematical model. This model is based on a structural model of educational competence. In this case, the competence is a basic construct of the educational program, it acts as a prototype of the structural model of individualized educational content. The main source of semantic and control information is the digital twin sys-tem. The digital double of the educational program formalizes its structure and content in strict ac-cordance with the regulatory requirements of federal state educational standards. The digital twin of a student fixes and processes his digital tracks throughout his life. The digital twin of the labor market formalizes the structure of a certain segment of the labor market in the context of the re-quirements for professional and personal qualities of specialists. There has been substantiated the need for proactive management of restructuring and rebranding the professional educational pro-grams in accordance with the changes at the labor market. A significant contribution to the man-agement of these evolutionary processes is made by the dynamics of a student’s activity, which is reflected in his digital traces. Hybridization of these digital twins into the system of constructing individual educational trajectory allows the semantic marking and weighing of the educational situation and projected content. Based on a suspended educational content and taking into account the regulatory requirements of educational standards and additional requirements of the educational organization, optimization modeling of an individual educational trajectory in its structural and meaningful context is carried out. The study of the structural features of the constructed hybrid mathematical model made it possible to determine and substantiate its rational structure.

scholarly journals Identification of a mathematical model for a single-shaft power-generating GTE

Energetika ◽  
2021 ◽  
Vol 67 (1) ◽  
Author(s):  
Anatoly Tarelin ◽  
Alexander Lyutikov ◽  
Iryna Annopolska
Keyword(s):  
Mathematical Model ◽  
Mathematical Models ◽  
Gas Turbine ◽  
Parametric Identification ◽  
Turbine Engines ◽  
Gas Turbine Engines ◽  
Variable Parameters ◽  
Operating Modes ◽  
Model Linearization ◽  
The Mathematical Model

The design and development processes of gas turbine engines rely on the usage of mathematical models representing the physics of engine functioning processes. One way of increasing the validity of a mathematical model is its identification based on engine test results. The identification of mathematical models of modern power-generating gas turbine engines (GTEs) presents a demanding and time-consuming task due to the necessity to identify the main controlled engine parameters determined in the course of experimental studies depending on a large number of the parameters that are not controlled during the experiment. In this regard the actual direction of reducing the labour intensity of the process of mathematical model identification is using identification program complexes. The object of the study was to solve the problem of structural-parametrical identification of the power-generating GTE functioning model detailing the turbine flow path calculations to the level of blade rows in order to obtain the GTE mathematical model that describes the characteristics of a real engine with given accuracy. To achieve the objective, the following problems were solved: variable parameters, controlled parameters and characteristics, ranges of their variations were selected from the total number of the mathematical model input data, the objective functions were defined; the task of the parametric identification according to the results of bench tests through GTE operating modes was performed; analytical approximating dependences for correcting coefficients (variable parameters) were obtained; structural-parametric identification of the mathematical model was performed. The novelty of the obtained results is the identification of the mathematical model of the nonlinear component GTE of the second level performed without model linearization (without its level lowering) by using the Optimum software packages. The methodological approach for the parametric identification of the mathematical model is proposed. This approach allows reducing the number of variable parameters under the modes lower that the maximum. It shows that the identified model allows obtaining the prediction results of the GTE parameters and characteristics through operating modes with a deviation of no more than 1.4% from the experimental data and, therefore, it will allow reduction of terms and an increase in the quality of power unit development.

DETERMINATION OF PERFORMANCE INDICATORS OF THE TRUCK KrAZ-6510TE

2020 ◽  
pp. 19-26
Author(s):  
Olexandr Pavlenko ◽  
Serhii Dun ◽  
Maksym Skliar
Keyword(s):  
Mathematical Model ◽  
Surface Friction ◽  
Building Structures ◽  
Maximum Torque ◽  
Military Equipment ◽  
Military Vehicles ◽  
Force Magnitude ◽  
Vehicle Mobility ◽  
The Mathematical Model

In any economy there is a need for the bulky goods transportation which cannot be divided into smaller parts. Such cargoes include building structures, elements of industrial equipment, tracked or wheeled construction and agricultural machinery, heavy armored military vehicles. In any case, tractor-semitrailer should provide fast delivery of goods with minimal fuel consumption. In order to guarantee the goods delivery, tractor-semitrailers must be able to overcome the existing roads broken grade and be capable to tow a semi-trailer in off-road conditions. These properties are especially important for military equipment transportation. The important factor that determines a tractor-semitrailer mobility is its gradeability. The purpose of this work is to improve a tractor-semitrailer mobility with tractor units manufactured at PJSC “AutoKrAZ” by increasing the tractor-semitrailer gradeability. The customer requirements for a new tractor are determined by the maximizing the grade to 18°. The analysis of the characteristics of modern tractor-semitrailers for heavy haulage has shown that the highest rate of this grade is 16.7°. The factors determining the limiting gradeability value were analyzed, based on the tractor-semitrailer with a KrAZ-6510TE tractor and a semi-trailer with a full weight of 80 t. It has been developed a mathematical model to investigate the tractor and semi-trailer axles vertical reactions distribution on the tractor-semitrailer friction performances. The mathematical model has allowed to calculate the gradeability value that the tractor-semitrailer can overcome in case of wheels and road surface friction value and the tractive force magnitude from the engine. The mathematical model adequacy was confirmed by comparing the calculations results with the data of factory tests. The analysis showed that on a dry road the KrAZ-6510TE tractor with a 80 t gross weight semitrailer is capable to climb a gradient of 14,35 ° with its coupling mass full use condition. The engine's maximum torque allows the tractor-semitrailer to overcome a gradient of 10.45° It has been determined the ways to improve the design of the KrAZ-6510TE tractor to increase its gradeability. Keywords: tractor, tractor-semitrailer vehicle mobility, tractor-semitrailer vehicle gradeability.

EXPERIMENTAL STUDIES OF CAR PROPERTIES ON A PHYSICAL MODEL

2019 ◽  
pp. 10-16
Author(s):  
Oleksii Timkov ◽  
Dmytro Yashchenko ◽  
Volodymyr Bosenko
Keyword(s):  
Mathematical Model ◽  
Remote Control ◽  
Physical Model ◽  
Model Experiment ◽  
Experimental Studies ◽  
Electrical Energy ◽  
Short Term ◽  
Motor Current ◽  
Memory Card ◽  
The Mathematical Model

The article deals with the development of a physical model of a car equipped with measuring, recording and remote control equipment for experimental study of car properties. A detailed description of the design of the physical model and of the electronic modules used is given, links to application libraries and the code of the first part of the program for remote control of the model are given. Atmega microcontroller on the Arduino Uno platform was used to manage the model and register the parameters. When moving the car on the memory card saved such parameters as speed, voltage on the motor, current on the motor, the angle of the steered wheel, acceleration along three coordinate axes are recorded. Use of more powerful microcontrollers will allow to expand the list of the registered parameters of movement of the car. It is possible to measure the forces acting on the elements of the car and other parameters. In the future, it is planned to develop a mathematical model of motion of the car and check its adequacy in conducting experimental studies on maneuverability on the physical model. In addition, it is possible to conduct studies of stability and consumption of electrical energy. The physical model allows to quickly change geometric dimensions and mass parameters. In the study of highway trains, this approach will allow to investigate the various layout schemes of highway trains in the short term. It is possible to make two-axle road trains and saddle towed trains, three-way hitched trains of different layout. The results obtained will allow us to improve not only the mathematical model, but also the experimental physical model, and move on to further study the properties of hybrid road trains with an active trailer link. This approach allows to reduce material and time costs when researching the properties of cars and road trains. Keywords: car, physical model, experiment, road trains, sensor, remote control, maneuverability, stability.

RESEARCH OF INDICATORS OF A VEHICLE WITH A DIESEL WORKING ON DIESEL AND DIESEL GAS CYCLES USING THE MATHEMATICAL MODEL

2020 ◽  
pp. 14-19
Author(s):  
Serhii Kovbasenko ◽  
Andriy Holyk ◽  
Serhii Hutarevych
Keyword(s):  
Mathematical Model ◽  
Diesel Engine ◽  
Environmental Performance ◽  
Energy Performance ◽  
Dual Fuel ◽  
Fuel System ◽  
Compressed Natural Gas ◽  
Diesel Vehicles ◽  
Diesel Cycle ◽  
The Mathematical Model

The features of an advanced mathematical model of motion of a truck with a diesel engine operating on the diesel and diesel gas cycles are presented in the article. As a result of calculations using the mathematical model, a decrease in total mass emissions as a result of carbon monoxide emissions is observed due to a decrease in emissions of nitrogen oxides and emissions of soot in the diesel gas cycle compared to the diesel cycle. The mathematical model of a motion of a truck on a city driving cycle according to GOST 20306-90 allows to study the fuel-economic, environmental and energy indicators of a diesel and diesel gas vehicle. The results of the calculations on the mathematical model will make it possible to conclude on the feasibility of converting diesel vehicles to using compressed natural gas. Object of the study – the fuel-economic, environmental and energy performance diesel engine that runs on dual fuel system using CNG. Purpose of the study – study of changes in fuel, economic, environmental and energy performance of vehicles with diesel engines operating on diesel and diesel gas cycles, according to urban driving cycle modes. Method of the study – calculations on a mathematical model and comparison of results with road tests. Bench and road tests, results of calculations on the mathematical model of motion of a truck with diesel, working on diesel and diesel gas cycles, show the improvement of environmental performance of diesel vehicles during the converting to compressed natural gas in operation. Improvement of environmental performance is obtained mainly through the reduction of soot emissions and nitrogen oxides emissions from diesel gas cycle operations compared to diesel cycle operations. The results of the article can be used to further develop dual fuel system using CNG. Keywords: diesel engine, diesel gas engine, CNG

Glycemia monitoring

1998 ◽  
Vol 2 ◽  
pp. 23-30
Author(s):  
Igor Basov ◽  
Donatas Švitra
Keyword(s):  
Diabetes Mellitus ◽  
Mathematical Model ◽  
Numerical Methods ◽  
Differential Equations ◽  
Blood Sugar ◽  
Self Regulation ◽  
Physiological System ◽  
Non Linear ◽  
The Mathematical Model

Here a system of two non-linear difference-differential equations, which is mathematical model of self-regulation of the sugar level in blood, is investigated. The analysis carried out by qualitative and numerical methods allows us to conclude that the mathematical model explains the functioning of the physiological system "insulin-blood sugar" in both normal and pathological cases, i.e. diabetes mellitus and hyperinsulinism.

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