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1

Turlakova, Svitlana. « Research of mathematical methods and models of long-term industrial development ». Economy of Industry 4, no 100 (1 décembre 2022) : 53–77. http://dx.doi.org/10.15407/econindustry2022.04.053.

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The importance of the study of relevant mathematical methods and models of long-term development of the national industry is substantiated. It has been proven that causal econometric models of production are relatively simple and convenient to use in practice, as well as the most common tools for researching the long-term economic future. It was defined that the production functions, adapted to individual circumstances, proved their ability to solve the assigned tasks. However, the problem of more accurate adjustment to the features of the simulated object of research is particularly relevant in the current conditions of development of Ukraine, in the conditions of concentration of attention on certain sectors, on particular branch of industry, and in connection with the revolutionary transformations of production forces and relations, in accordance with the spread of cyber-physical technologies of the Fourth Industrial revolution.In such specific circumstances, it makes sense to ask for more sophisticated models. On the one hand, they are better, as they allow more accurate tuning of the modeled object, including by adding important factors that are outside the production system. On the other hand, they are worse because they complicate the analysis and significantly increase the number of variables needed to describe the dynamics of economic growth. In this connection, expert research methods cannot be neglected. Choosing the type of model, the range of influencing factors, possible development scenarios, etc., usually requires expert assessments (often implicit). Therefore, when analyzing long-term factors and development trends, it is important to adhere to the main methodological message of expert approaches in the construction of foresights: for long time horizons in conditions of significant uncertainty, it is appropriate to ask questions not about the calculation of the "correct future", but about the assessment of the spectrum of probable scenarios of development, expansion and rethinking its new opportunities and challenges, in particular – to avoid potentially harmful ideas and expectations, embedded in the current policy.
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Alieva, N. « Economic and Mathematical Modeling of the Innovation Process in the Agro-Industrial Sector ». Economic Herald of the Donbas, no 4 (66) (2021) : 29–32. http://dx.doi.org/10.12958/1817-3772-2021-4(66)-29-32.

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Modern scientific research in the field of agriculture is increasingly based on various mathematical calculations. In practice, it is the economic and mathematical models that are of particular importance. These methods and approaches are particularly valuable and widespread in the production environment, but in the modern conditions of production and economic activity, more and more industrial economic entities are faced with the application of mathematical models in order to improve the efficiency of investment resource management.
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Aliyeva, Nailya Rauf kyzy. « Economic and Mathematical Modeling of the Innovation Process in the Agro-Industrial Sector ». Economic Herald of the Donbas, no 2 (64) (2021) : 118–22. http://dx.doi.org/10.12958/1817-3772-2021-2(64)-118-122.

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Modern scientific research in the agro-industrial sphere is increasingly based on various mathematical calculations. In practice, it is economic and mathematical models that are of particular importance. These methods and approaches have gained particular value and distribution in the production environment, but in modern conditions of production and economic activity, more and more sectoral economic entities are faced with the application of mathematical models in order to improve the efficiency of investment resource management.
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Zhao, Yu Qing, et Zhi Yong Li. « Evaporation Tower Heat and Mass Transfer Research in Saline Water Evaporation System ». Advanced Materials Research 838-841 (novembre 2013) : 1923–27. http://dx.doi.org/10.4028/www.scientific.net/amr.838-841.1923.

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In order to recycle the salt in industrial waste water, non-filler evaporation tower is used to evaporate and concentrate saline water. Based on the heat and mass transfer theory, developed a mathematical model of evaporation tower. Experiment results showed that difference of the export air dry bulb temperature values between models calculated and tested is within 5%. It is proves the correctness of the mathematical model.
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5

Cong, Jing. « Research on the Factors Affecting Carbon Emissions Based on Multivariate Regression Models ». Scientific and Social Research 4, no 3 (16 mars 2022) : 102–7. http://dx.doi.org/10.26689/ssr.v4i3.3664.

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Carbon peak and carbon neutrality are two new terms that are being mentioned more frequently, and the measurement of carbon emissions has become an important research topic. Based on relevant data, this paper studies the relationship and evolution law of the driving factors of carbon emissions from energy structure and industrial structure as well as the result factors of carbon emissions from energy consumption, and then establishes corresponding mathematical models. The driving factors, result factors, and relationship attributes that are difficult to measure in the carbon emissions from energy structure and industrial structure are analyzed to fathom the evolution law of carbon emissions and absorption. Based on the results, phased and global suggestions for carbon neutrality have been suggested, taking into account the characteristics of different industries and regions.
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Mehta, U., R. Prasad et K. Kothari. « VARIOUS ANALYTICAL MODELS FOR SUPERCAPACITORS : A MATHEMATICAL STUDY ». Resource-Efficient Technologies, no 1 (9 mai 2020) : 1–15. http://dx.doi.org/10.18799/24056537/2020/1/218.

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Supercapacitors (SCs) are used extensively in high-power potential energy applications like renewable energy systems, electric vehicles, power electronics, and many other industrial applications. This is due to SCs containing high-power density and the ability to respond spontaneously with fast charging and discharging demands. Advancements in material and fabrication techniques have induced a scope for research to improve the application of SCs. Many researchers have studied various SC properties and their effects on energy storage and management performance. In this paper, various fractional calculus-based SC models are summarized, with emphasis on analytical studies from derived classical SC models. Study prevails such parameterized resistor–capacitor networks have simplified the representation of electrical behavior of SCs to deal with the complicated internal structure. Fractional calculus has been used to develop SC models with the aim of understanding their complicated structure. Finally, the properties of different SC models utilized by various researchers to understand the behavior of SCs are listed using an equivalent circuit.
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Fechete, Flavia, et Anișor Nedelcu. « Modeling the Economic Performance of Industrial Systems Using Mathematical Programming ». Applied Mechanics and Materials 809-810 (novembre 2015) : 1553–58. http://dx.doi.org/10.4028/www.scientific.net/amm.809-810.1553.

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Mathematical programming models and especially their subclass - linear programming models - plays an extremely important role, both in theory and in economic practice. Linear programming, through its results, brought a considerable contribution to improving management methods in economics and it has boosted theoretical research in modeling complex economic systems, study and interpretation of laws and economic processes. Developing and designing a model for achieving the economic performance of the industrial system allows managers making optimal decision and ensures the improvement of their activity. This paper aim is to determine an optimal manufacturing program for an industrial system, so that, by its implementation, to achieve economic performance. The manufacturing program conducted using a computer software will allow this entity to optimize their management decision process by providing information related to physical production that must be executed on each of their the products, or about the unused or overloaded capacity, in order to maximize their profits.
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8

Polozhaenko, Serhii, Fedir Garaschenko et Ludmila Prokofieva. « Mathematical Models of Technological Processes of Oil Refining and Their Qualitative Analysis Based on the General Concept Of Models ». Mathematical and computer modelling. Series : Technical sciences 23 (6 décembre 2022) : 107–15. http://dx.doi.org/10.32626/2308-5916.2022-23.107-115.

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Theorems of existence and uniqueness of the decision of system of the equations in the private derivatives, representing the generalized mathematical model of processes and devices of preprocessing of crude hydrocarbons are formulated and proved. Generalization gives the chance to apply the principle of unification and typification when de-veloping a method of numerical realization of mathematical models of a class of processes (devices) of preprocessing of crude hydrocarbons, and the proof of the corresponding theorems (an essence —the qua-litative analysis) provides a correctness of application of the generalized model in applied problems of mathematical modeling of studied pro-cesses (devices). Proofs of the formulated theorems are strict, logically true and are consistently executed within terms of the functional ana-lysis. Practical applicability of theorems of existence and uniqueness of the decision as component of the qualitative analysis, is defined by pos-sibility of research on their basis of adequacy of algorithmic means of mathematical modeling of a studied class of processes (devices).
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Kostyuchenko, Mikhail, Volodymyr Gogo, Boris Kobilyansky, Oleg Kruzhilko, Ihor Yefremov, Kyrylo Hriadushchyi et Oleksandr Tkachuk. « ANALYSIS OF PRODUCTION RISK ON EXAMPLES OF MINERS ‘LABOR ». JOURNAL of Donetsk Mining Institute, no 2 (2021) : 159–75. http://dx.doi.org/10.31474/1999-981x-2021-2-159-175.

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Objective: Based on the review of the array of publications to analyze the methods and models of general risk assessment, the nature of industrial risks and management processes on the examples of labor of coal miners. Propose a classification of mathematical models of industrial risk and identify the most appropriate model for the work of miners in the stochastic system “man-machine-environment”. Methodology: Applied to the use of situational analysis, qualimetry, probability theory and risk theory, methods of classification of occupational risks. Results: Based on a systematic analysis of multifactorial risks of emergency situations, the essence of industrial risks and management processes on the examples of coal miners, the dominant causes of industrial risk in the ergatic system (“man – machine – environment”), models and methods of risk research. Scientific novelty: For the first time on the basis of the analysis of the reasons, dynamics and consequences of industrial risks the classification of mathematical models of risks which are adapted to ergatic systems of mine production is offered. Practical value: The need for adequate practical application of risk methods and models for the assessment and measurement of industrial hazards has been proven.
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Hvozd, Viktor, Eugene Tishchenko, Andriy Berezovskyi et Stanislav Sidnei. « Research of Fire Resistance of Elements of Steel Frames of Industrial Buildings ». Materials Science Forum 1038 (13 juillet 2021) : 506–13. http://dx.doi.org/10.4028/www.scientific.net/msf.1038.506.

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The article considers and analyses the methods by which it is possible to carry out research to determine the fire resistance of elements of steel frames of industrial buildings. It is determined that it is expedient to use the means of computational fluid dynamics, which has no limitations due to the high cost, complexity, environmental friendliness and complexity in comparison with real experiments. In order to conduct the most reliable computational experiments, mathematical models of temperature and mechanical reaction to the thermal effect of fire were created, taking into account the equations of thermal conductivity, systems of differential equations of stress-strain state of solids in their numerical implementation based on the finite element method. The solution of mathematical models was carried out using computational fluid dynamics, which describes the process of heat and mass transfer in test fire furnaces during the determination of fire resistance of steel structures. According to the results of computational experiments it is shown that the limiting state of loss of bearing capacity of vertical and horizontal structures occurs due to the formation of a zone of plastic deformations taking into account the associative theory of plasticity. According to the results of computational experiments, the dependence of the limit of fire resistance on the level of applied load to structures, which is close to linear, was revealed. Based on the obtained dependences and the corresponding graphs, a technique is developed based on the use of maximum deformations of the elements with the corresponding fixation of the limit state on the loss of fire resistance in terms of bearing capacity by bending this curve.
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11

Pal, Samidh. « Measuring the Industrial Concentration and Regional Specialisation of Major Indian Industrial States ». Indian Economic Journal 67, no 3-4 (décembre 2019) : 216–32. http://dx.doi.org/10.1177/0019466220946330.

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This article analyses the influence of industrial disparity and centralisation (concentration) on major industrial states in India. Accordingly, we are using two mathematical models: (a) localisation coefficients to identify major industries that are suffering by industrial concentration and (b) location quotient to measure regional industrial specialisation. Consequently, it shows the natural tendency of distribution of industries in a particular way between the six major Indian industrial states. Therefore, we determine the reasons for lack of industrialisation within those states. Afterwards, this research helps to understand that those regions are either little specialised regions or concentrated with few industries. Especially, policy makers can easily equally distribute through location quotient and localisation coefficient, all manufacturing industries in all six regions. Moreover, this research can reduce the tendency of lack of industrialisation.
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12

Dembiczak, Tomasz, et Marcin Knapiński. « Shaping Microstructure and Mechanical Properties of High-Carbon Bainitic Steel in Hot-Rolling and Long-Term Low-Temperature Annealing ». Materials 14, no 2 (14 janvier 2021) : 384. http://dx.doi.org/10.3390/ma14020384.

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Based on the research results, coefficients in constitutive equations, describing the kinetics of dynamic, meta-dynamic, and static recrystallization in high-carbon bainitic steel during hot deformation were determined. The developed mathematical model takes into account the dependence of the changing kinetics in the structural size of the preliminary austenite grains, the value of strain, strain rate, temperature, and time. Physical simulations were carried out on rectangular specimens. Compression tests with a flat state of deformation were carried out using a Gleeble 3800. Based on dilatometric studies, coefficients were determined in constitutive equations, describing the grain growth of the austenite of high-carbon bainite steel under isothermal annealing conditions. The aim of the research was to verify the developed mathematical models in semi-industrial conditions during the hot-rolling process of high-carbon bainite steel. Analysis of the semi-industrial studies of the hot-rolling and long-term annealing process confirmed the correctness of the predicted mathematical models describing the microstructure evolution.
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13

Kalganova, N. V. « Mathematical models of optimal management of material support of educational and scientific activities of industrial universities ». Herald of the Ural State University of Railway Transport, no 4 (2020) : 79–90. http://dx.doi.org/10.20291/2079-0392-2020-4-79-90.

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The paper considers mathematical differential models for managing the achievement of planned values of material support for educational and scientific activities of the university based on the analysis of this area of activity of transport universities. Models contain a mathematical description of the material and financial processes under study, which analytically show their dynamics for a certain period. The models are quite simple and can be used for planning and forecasting the financial support strategy of higher education institutions. In her research, the author relied on the work of Russian scientists, in particular, on [1-5]. This paper presents a mathematical description of the set of possible options for the system, predicting the consequences of the implemented options, and justifying the rational choice of management to achieve optimal educational and material support of the university. In this paper, we used methods for solving and investigating differential equations, as well as the MathCAD 15 software package for their numerical solution [6-8].
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Avram, Georgia Cezara, Florin Adrian Nicolescu, Radu Constantin Parpală et Constantin Dumitrascu. « Experimental Research to Evaluate Thermal Behavior of a Brushless Driving Servomotor for Linear Motion NC Axis Experimental Stand ». Applied Mechanics and Materials 762 (mai 2015) : 55–60. http://dx.doi.org/10.4028/www.scientific.net/amm.762.55.

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This paper presents the works carried out by the authors in the field of structural and functional optimization of industrial robot's numerically controlled (NC) axes. The study includes the results obtained in the research stage of the experimental measurements performed to evaluate the electrical servomotor's thermal behavior using a thermal (infrared) imaging camera. The analyzed servomotor is a brushless servomotor integrated in an experimental stand for linear motion NC axis experimental research, existing in the MMS department from EMTS faculty. Supplementary to the driving servomotor, the experimental stand includes a belt drive transmission, a ball screw - bearings assembly and a driven element guided by ball rail system. This experimental research phase is part of the doctoral thesis of first author and was conducted in order to validate the mathematical models developed in the PhD thesis. Thus, experimental results presented in the paper have been used to validate first mathematical models for electric motor's preliminary selection and checking, (performed by determining the total reflected inertia of the mechanical system on motor shaft level) as well as the mathematical models for final selection and checking (by evaluating the servomotor's thermal energy dissipation, and servomotor's internal and external maximum operating temperature). Second, the experimental results have been used to validate the assisted simulation for structural and functional optimization of industrial robot's NC axes based on both servomotor and drive's thermal behavior analysis, performed in the thesis by means of a dedicated commercial software package.
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15

Lokhman, N., T. Beridze, Z. Baranik, I. Dashko et S. Tkachenko. « Modeling of investment impacts on industrial enterprise profits ». Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, no 4 (30 août 2022) : 151–55. http://dx.doi.org/10.33271/nvngu/2022-4/151.

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Purpose. To build economic and mathematical model of impacts of investment from internal sources on the profit of an industrial enterprise. Methodology. An economic and mathematical model of enterprise operations is built to enable development of methods for analyzing the impact of the internal investment amount on the profit of an industrial enterprise through considering specific features of its operation. The research involves methodological principles of economic cybernetics, namely the representation of the enterprise as a multipolar object with an unknown structure. Application of the systemic approach enables comprehensive investigation of the process of the amount of internal investment impacting profits of this enterprise. The use of structural synthesis underlies determination of the type of economic and mathematical model without considering its parameters. Findings. Mathematical modeling of operation of an industrial enterprise as a complex object enables numerical determination of the impact of the internal investment amount on the profit of an industrial enterprise. This approach makes it possible to use regression models to obtain an analytical dependence of the enterprise profit on the size of its internal investment. Theoretical research results in the determined sequence of building an economic and mathematical model of internal investment amount impacts on profits. It is proved expedient to divide the process of building a model of an industrial enterprise operation into two stages: structural synthesis and identification of model parameters. Originality. For the first time, an economic and mathematical model of operation of an industrial enterprise in the form of a black box has been used to analyze the impact of internal investment of an industrial enterprise on its profits. Practical value. Analysis of results of economic and mathematical modeling of the PJSC PivdHZK operation proves expediency of estimating the statistical dependence of the profit on the amount of internal investment. It is recommended to introduce the developed system-logical scheme in the investment practice of enterprises.
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Xu, Bo Qiang, et Fu Hua Yang. « The Simulation Research of Rotor Flux Model in Asynchronous Motor Control ». Advanced Materials Research 383-390 (novembre 2011) : 2661–65. http://dx.doi.org/10.4028/www.scientific.net/amr.383-390.2661.

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The speed-adjustable system of asynchronous motor has been widely used in industrial production. in motor control, magnetic control is a key problem, but in order to realize the control of motor, magnetic field must be tested. The testing methods about rotor flux according to the rotor field-oriented control of motor are discussed in this paper. The paper describes the present two rotor flux calculation models: Voltage model and Current model. It concretely analyzes mathematical expressions of these two models in different coordinates, and realizes the matlab simulation of two kinds of model, the simulation results are compared by observations of the magnetic chain calculation results.
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Cortés Pellicer, Pascual, et Faustino Alarcón Valero. « Identification of reverse logistics decision types from mathematical models ». Journal of Industrial Engineering and Management 11, no 2 (6 avril 2018) : 239. http://dx.doi.org/10.3926/jiem.2530.

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Purpose: The increase in social awareness, politics and environmental regulation, the scarcity of raw materials and the desired “green” image, are some of the reasons that lead companies to decide for implement processes of Reverse Logistics (RL). At the time when incorporate new RL processes as key business processes, new and important decisions need to be made. Identification and knowledge of these decisions, including the information available and the implications for the company or supply chain, will be fundamental for decision-makers to achieve the best results. In the present work, the main types of RL decisions are identified.Design/methodology/approach: This paper is based on the analysis of mathematical models designed as tools to aid decision making in the field of RL. Once the types of interest work to be analyzed are defined, those studies that really deal about the object of study are searched and analyzed. The decision variables that are taken at work are identified and grouped according to the type of decision and, finally, are showed the main types of decisions used in mathematical models developed in the field of RL. Findings: The principal conclusion of the research is that the most commonly addressed decisions with mathematical models in the field of RL are those related to the network’s configuration, followed by tactical/operative decisions such as the selections of product’s treatments to realize and the policy of returns or prices, among other decisions.Originality/value: The identification of the main decisions types of the reverse logistics will allow the managers of these processes to know and understand them better, while offer an integrated vision of them, favoring the achievement of better results.
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Karimov, Kamolkhon, Nodir Turakhodjaev, Azamat Akhmedov et Sherzod Tashbulatov. « A mathematical model of the technology of extraction of copper from industrial slags ». E3S Web of Conferences 264 (2021) : 04077. http://dx.doi.org/10.1051/e3sconf/202126404077.

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The article substantiates the relevance and necessity of developing mathematical models in foundry production, as well as the problems and prospects of their use. Based on an analytical review of the world literature on foundry production, it was emphasized that in many studies of the authors and literary sources, not enough attention is paid to the development of mathematical models of the technological process of extracting non-ferrous metals from slag and industrial waste. A brief description of the developed technologies for the high-temperature treatment of industrial slags and waste, separation treatment in electric furnaces, and metals extracted from liquid slag is given. During the development and analytical implementation of the mathematical model, the developed technology for extracting copper from slags is presented as an research object. Based on the study of the dynamics of changes in the thermophysical properties of the components as a function of temperature, a mathematical model of high-temperature treatment of slags is compiled. This will allow you to predict the process of processing slags and the results obtained. Also, a mathematical model of the extraction of copper from the slag is compiled, taking into account the chemical properties of metal inclusions in the slag. This serves as the basis for automating the process of extracting copper from slags and waste products.
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Ustyugov, Nikita V., et Oleg M. Protalinsky. « Optimizing the Price Category of Electric Power Consumption by an Industrial Enterprise ». Vestnik MEI 5, no 5 (2020) : 121–25. http://dx.doi.org/10.24160/1993-6982-2020-5-121-125.

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The purpose of the study is to construct mathematical models of electric energy and power consumption for six price categories in an organizational and technical system and to develop an algorithm based on these models that will enable the consumer to select the most profitable cost of electricity. The system, which was regarded as an integral complex of interacting objects, was analyzed from the viewpoint of a systematic approach. Scientific data were analyzed proceeding from the principles of system consistency, structuring, integrity, hierarchy and multiplicity. A structural-and-functional approach, based on which elements (subsystems), and relationships between them can be considered within a single organizational and technical system, was used as the research method. The current state was studied; the consumption of electricity by an organizational and technical system was predicted based on the source data; the mathematical models of electric energy and power were constructed for six price categories, and a price category selection algorithm was developed, using which the most financially profitable price category can be found. An independent experimental verification of the price category selection algorithm was carried out, which has shown that owing to its application, the cost item “payment of consumed electric energy” for the facility has decreased by 9%. The experiment has shown that the developed mathematical models can be applied in practice, and that the use of the electric energy price category selection algorithm allows economic gains to be obtained. The accomplished study has yielded results based on which the consumers located in the Russian Federation territory can select the most financially profitable price category and cost of electric energy.
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Topolsky, N. G., A. V. Mokshantsev, E. A. Meshalkin, A. I. Ovsyanik, V. V. Simakov, V. V. Kafidov et Do Hoang Thanh. « Models and algorithms for automated search and rescue management support ». Technology of technosphere safety 89 (2020) : 53–64. http://dx.doi.org/10.25257/tts.2020.3.89.53-64.

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Introduction. The efficiency of search and rescue operations (PSR) due to the elimination of emergencies and fires indicates the need to create a structure for an automated control system (ACS) for technological decision-making processes at natural and industrial sites in Vietnam based on a software and hardware complex (PAC) for conducting the PSR in the Socialist Republic of Vietnam (SRV). The relevance of the research is due to the need to implement modern models and algorithms for automating the management support of the PSR and the development of automated control systems for technological processes of management decision-making at natural and industrial sites in Vietnam based on the PAC management system. Goals and objectives. The aim of the work is to reduce the response time of search and rescue units using models and algorithms to support the management of search and rescue operations using an automated control system for natural objects and industrial facilities in Vietnam based on a software and hardware complex. The practicality of the work is that the use of the recommended mathematical models, algorithms and the development of an automated system for the management of technological decision-making processes in natural and industrial sites in Vietnam, based on the software and hardware set for search and rescue operations reduce the time spent in the process. Methods. Systems analysis, statistical analysis, mathematical statistics, etc., are used to solve the problems of the study. Results and discussion thereof. The results are represented by the developed models and algorithms for supporting the management of the PSR using automated control systems at natural and industrial sites in Vietnam based on the PAC for the PSR. Conclusions. The functional structure of the automated control system for technological processes of management decision-making at natural and industrial sites in Vietnam based on a software and hardware complex for search and rescue operations, which allows you to visualize the location of victims in open areas in conditions of smoke, fog, rain. Key words: models, algorithms, automation, control support, search and rescue.
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Liu, Xiao Li, Hua Tan, Shi Chao Cao et Tao Xing. « Establishment of Evaluation Indication System on Embedded Industrial Technology Innovation ». Applied Mechanics and Materials 513-517 (février 2014) : 3556–59. http://dx.doi.org/10.4028/www.scientific.net/amm.513-517.3556.

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Embedded industry as a branch of the new rise of IT industry, changing people's lives. For how to create embedded technology innovation models and innovation system, embedded technology innovation brings a variety of management issues, this paper studies the embedded industrial innovation index system. First, hierarchical analysis model represents the index system 6 first level indicators and 24 secondary indicators constituted; Then, the basic idea of G1 method is based on constructing a mathematical model to calculate the weights according to solving steps; Finally, according to the mathematical model to 6 secondary indicators "research and development" first level indicators under an example to illustrate the calculation process, and lists all the index weight calculation results through form. Results of this study will help countries understand the current level of development; provide the basis for the formulation of industrial development policies.
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TKACHOVA, Tetiana. « METHODOLOGICAL APPROACH TO THE APPLICATION OF MODELS OF THE ORGANIZATIONAL AND COMMUNICATION MECHANISM FOR THE DEVELOPMENT AT THE ENTERPRISES IN THE MACHINE-BUILDING INDUSTRY ». Ukrainian Journal of Applied Economics 5, no 3 (7 septembre 2022) : 363–69. http://dx.doi.org/10.36887/2415-8453-2020-3-40.

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The article analyzes the results of the methodology of object research and construction of its mathematical model, provided that the object is considered as a holistic set of components that have a special connection with the environment and are a subsystem of a higher order system. An effective tool of the outlined principle is system analysis. The research methods proposed in this paper are a mathematical model that contains interconnected heterogeneous resources, the operation of which is subject to a set of rules and objectives for information and communication infrastructure of the enterprise, its socio - economic development and effective organization of business processes. The aim is to determine the methodology of object research and build its mathematical model, provided that the object is considered as a holistic set of components that have a special connection with the external environment and are a subsystem of a higher order system. An effective tool of the outlined principle is system analysis. systems analysis is a problem-solving methodology based on system structuring and quantitative comparison of alternatives. Thus, the system analysis will logically combine a set of theoretical, empirical provisions of the subject areas of natural and economic sciences, the practice of developing complex systems that provide scientific validity for solving a particular problem. Scientific and methodological approaches to economic and mathematical modeling and evaluation of management decisions effectiveness at an industrial enterprise are identified. To build a set of interconnected economic and mathematical models, as well as any individual model, requires a set of principles that allow the correct process of formalization of modeling systems and objects. One of the main principles of modeling economic processes is the principle of systematization, which contains the research methodology of the object and construction of its mathematical model, provided that the object is considered as a whole set of components that have a special connection with the external environment order. The effective tool of the outlined principle is the system analysis, which consists of models development coordinating management decisions at the industrial enterprise. Key words: methodology of object research, model of organizational and communication mechanism, mathematical model.
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Obolenskaya, Ludmila V., Evgenia L. Moreva, Aleksandr S. Voronov et Vladimir V. Vorozhikhin. « Assessment of Factors Impeding Technological Development of the Electric Power Complex (The Russian Case Analysis) ». Revista Gestão Inovação e Tecnologias 11, no 4 (22 juillet 2021) : 2902–14. http://dx.doi.org/10.47059/revistageintec.v11i4.2326.

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The research covers the factors that hinder technological development of the electric power complex. The purpose of it is to assess the significance of these factors further to consider while the industrial policies targeting. The research is realized by means of matrix models and mathematical processing of statistical data methods, the ranking, grouping, and comparative analysis incl. The analysis methodology is based on the analysis of the topical publications considering the classical matrix models and metrics of factors impeding the technological development modeling.
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Barrios Sánchez, Jorge Manuel, Roberto Baeza Serrato et Marco Bianchetti. « Design and Development of a Mathematical Model for an Industrial Process, in a System Dynamics Environment ». Applied Sciences 12, no 19 (30 septembre 2022) : 9855. http://dx.doi.org/10.3390/app12199855.

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This research proposes a methodology based on control engineering, transforming the simulation model of system dynamics into a mathematical model expressed as a system transfer function. The differential equations of a time domain present in the Forrester diagram are transformed into a frequency domain based on the Laplace transform. The conventional control engineering technique is used to present and reduce the dynamic system in a block diagram as a mechanism for determining the structure of the system. The direct path equation and the feedback equation are determined to obtain mathematical models that explain the trajectory of the behavior of each state variable through a transfer function in response to the different inputs of the system. The research proposal is based on presenting an alternative of analytical validation for more robust decision-making to systems dynamics models, based on the explanation of the system structure through a transfer function and its analysis of stability and external controllability for the system dynamics model under study. The results are visually analyzed in a root diagram.
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Zhou, Wenmin. « Research on the Control Methods Based on Liquid Level System ». Highlights in Science, Engineering and Technology 13 (21 août 2022) : 198–206. http://dx.doi.org/10.54097/hset.v13i.1351.

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Liquid level control is a common process control in industry, and its impact on production cannot be ignored. Liquid level control systems are used in various aspects of life, such as reservoirs, cisterns, river levels, etc. Among the common liquid level control systems, the double-volume water tank is a typical controlled object, which is widely used in industrial production. The control difficulty of has also increased due to its nonlinearity and delay. PID control can achieve satisfactory results in the face of accurate mathematical models and is still widely used in society. However, PID control is less effective when dealing with nonlinear systems that are difficult to describe accurately with mathematical models. For better level control, this paper designs a double-volume tank level control system with single-loop PID control, Cascade PID Control and fuzzy PID control based on PID control theory, and compares their control effects. This paper therefore concludes that the control effect of fuzzy PID control is better than the other two controls, and through experiments, we also find that fuzzy PID has decent adaptivity. This paper provides a certain research basis for the subsequent research on PID control, which has important theoretical significance and engineering value.
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Boltz, J. P., E. Morgenroth et D. Sen. « Mathematical modelling of biofilms and biofilm reactors for engineering design ». Water Science and Technology 62, no 8 (1 août 2010) : 1821–36. http://dx.doi.org/10.2166/wst.2010.076.

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Mathematical models are critical to modern environmental biotechnology—both in research and in the engineering practice. Wastewater treatment plant (WWTP) simulators are used by consulting engineers and WWTP operators when planning, designing, optimizing, and evaluating the unit processes that comprise municipal and industrial WWTPs. Many WWTP simulators have been expanded to include a submerged completely-mixed biofilm reactor module that is based on the mathematical description of a one-dimensional biofilm. Leading consultants, equipment manufacturers, and WWTP modelling software developers have made meaningful contributions to advancing the use of biofilm models in engineering practice, but the bulk of the engineering community either does not use the now readily available biofilm reactor modules or utilizes them as ‘black-box’ design tools. The latter approach results in the mathematical biofilm models being no more useful than the empirical design criteria and formulations that have been historically applied to biofilm reactor design. The present work provides a consensus report on the state-of-the art, areas of uncertainty, and future needs for advancing the use of biofilm models in engineering design.
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Agustina, Zeni Fadlila, Titin Masfingatin et Swasti Maharani. « Analysis of Mathematics Communication Capabilities in Linear Program Problem Solving during the Covid-19 Pandemic ». AL-ISHLAH : Jurnal Pendidikan 14, no 1 (10 avril 2022) : 519–28. http://dx.doi.org/10.35445/alishlah.v14i1.830.

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This study aims to analyze students' mathematical communication skills orally and in writing in solving linear programming problems during the COVID-19 pandemic. This research uses descriptive qualitative research. The subjects of this study research are two students of class XI MIPA at MAN Ponorogo. Determination of the subject using purposive sampling based on problem-solving tests and interviews. Subject criteria are students who answer most completely and correctly. The research instrument is in the form of problem-solving test questions and interview guidelines. The result of this study is that during the COVID-19 pandemic, learning is carried out online. Students' mathematical communication skills in solving linear programming problems in online learning during the COVID-19 pandemic include being able to express mathematical ideas orally or in writing, being able to compile mathematical models orally or in writing, and being able to write and explain the process of solving mathematical problems verbally or in writing.
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Makarovskikh, T. A., A. V. Panyukov et E. A. Savitskiy. « Mathematical models and routing algorithms for economical cutting tool paths ». International Journal of Production Research 56, no 3 (17 novembre 2017) : 1171–88. http://dx.doi.org/10.1080/00207543.2017.1401746.

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Bolat, Ahmet. « A mathematical model for selecting mixed models with due dates ». International Journal of Production Research 41, no 5 (janvier 2003) : 897–918. http://dx.doi.org/10.1080/00207540210163892.

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Razek, Adel. « Pragmatic Association of the Two Evaluation Concepts of Operational Observation and Mathematical Modeling ». ATHENS JOURNAL OF SCIENCES 8, no 1 (20 janvier 2020) : 23–36. http://dx.doi.org/10.30958/ajs.8-1-2.

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Recent developments in several theoretical and industrial concepts are closely associated to the relation of operational observation to mathematical modeling. The present work investigates first the interdependence of these two evaluation notions. An assessment of these notions is performed involving different analyses based on philosophical aspects as phenomenology and structural research. These analyses are also supported by illustrations from physics and quantum science. These analyses examine the autonomy limits of each of both concepts and their interdependence. The associate resulting from such interdependence is therefore studied. This involves different aspects characterizing such associate (couple) as its managing in time and its rulings. The immersion of the couple "observation-theory" is subsequently considered through the exploration of different representing cases showing the nature of the interdependence in this couple. The corroborating interdependence is illuminated in the case of coupled amended models. The matching interdependence is illustrated in the cases of the industrial digital twins concept and Bayesian brain theory in neuroscience. Finally, the imitating interdependence is pointed out in quantum and neuromorphic computing technologies. The conclusion of the paper underlines that mathematical modeling needs operational observation simply to be credible and that the second needs the first for deeper research. Additionally, the interdependence of this associate is valuable to the ideas of several research and industrial innovative concepts. Keywords: observation-modeling associate, phenomenology, structural research, Bayesian concepts, quantum science, matching, imitating, corroborating.
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Jiang, Ling. « Linear Programming Application in Construction Enterprises ». Applied Mechanics and Materials 328 (juin 2013) : 244–47. http://dx.doi.org/10.4028/www.scientific.net/amm.328.244.

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Constructional engineering is becoming the key industry in the national economy. But, construction enterprises are lagging far behind those industrial enterprises with refined management and computer integrated manufacturing system. Operations research is mainly concerned with management problems and involves the construction of mathematical models and the application of mathematical tools and modern computer technology. In this paper, the optimal plan of steel cutting is studied based on of linear programming, and a calculation example is given to illustrate the solution with the help of MATLAB software.
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Qi, Ruosen, Jie Zhang et Katy Spencer. « A Review on Data-Driven Condition Monitoring of Industrial Equipment ». Algorithms 16, no 1 (22 décembre 2022) : 9. http://dx.doi.org/10.3390/a16010009.

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This paper presents an up-to-date review of data-driven condition monitoring of industrial equipment with the focus on three commonly used equipment: motors, pumps, and bearings. Firstly, the general framework of data-driven condition monitoring is discussed and the utilized mathematical and statistical approaches are introduced. The utilized techniques in recent literature are discussed. Then, fault detection, diagnosis, and prognosis on the three types of equipment are highlighted using a variety of popular shallow and deep learning models. Applications of these techniques in recent literature are summarized. Finally, some potential future challenges and research directions are presented.
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Jovanović, Ivana, et Igor Miljanović. « Modelling Of Flotation Processes By Classical Mathematical Methods – A Review ». Archives of Mining Sciences 60, no 4 (1 décembre 2015) : 905–19. http://dx.doi.org/10.1515/amsc-2015-0059.

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Abstract Flotation process modelling is not a simple task, mostly because of the process complexity, i.e. the presence of a large number of variables that (to a lesser or a greater extent) affect the final outcome of the mineral particles separation based on the differences in their surface properties. The attempts toward the development of the quantitative predictive model that would fully describe the operation of an industrial flotation plant started in the middle of past century and it lasts to this day. This paper gives a review of published research activities directed toward the development of flotation models based on the classical mathematical rules. The description and systematization of classical flotation models were performed according to the available references, with emphasize exclusively given to the flotation process modelling, regardless of the model application in a certain control system. In accordance with the contemporary considerations, models were classified as the empirical, probabilistic, kinetic and population balance types. Each model type is presented through the aspects of flotation modelling at the macro and micro process levels.
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Savenkova, N. P., V. S. Laponin, A. Yu Mokin, L. A. Artemieva et A. A. Dryazhenkov. « A New Approach to Mathematical Simulation of Sheduling at an Industrial Plant ». Herald of the Bauman Moscow State Technical University. Series Instrument Engineering, no 2 (135) (juin 2021) : 103–14. http://dx.doi.org/10.18698/0236-3933-2021-2-103-114.

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The purpose of this work was to build a model of industrial plant management and develop a schedule plan based on it. The paper considers a controlled model of product flows at an industrial enterprise. The model describes the interaction between various objects at the enterprise: production plants, manifolds, overpasses, piers, transport. In addition, the model specifies the composition and proportions of the components of raw materials and additives for each type of manufactured product, as well as physical constraints on the objects involvedin the production process. This brings us to the model of both the quality functional and equality and inequality constraints in the mathematical formulation. After building the model, the original control problem was reduced to two problems: direct and inverse. The numerical solution of both is provided in a close relationship between them. The study uses the findings from the theory of mathematical modeling, linear algebra and optimization theory, and leads to the development of the technique of building models of scheduling at an enterprise and numerical methods for solving the corresponding management problems. The research results are of great practical importance and can be used for effective management of the production process in many industries
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SINRIECH, D., et J. M. A. TANCHOCO. « Solution methods for the mathematical models of single-loop AGV systems ». International Journal of Production Research 31, no 3 (mars 1993) : 705–25. http://dx.doi.org/10.1080/00207549308956752.

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Kolychev, V. D., et N. A. Budanov. « Models of Building Organizational Structure of Developing Highly-Technological Enterprises ». Vestnik of the Plekhanov Russian University of Economics, no 6 (6 décembre 2022) : 174–87. http://dx.doi.org/10.21686/2413-2829-2022-6-174-187.

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The article discusses issues dealing with building organizational structure of developing enterprises by using both quantitative and qualitative criteria. In the research the authors used the best practices of highly-technological companies. To solve the problem of organizational structure upgrading methods of assessing key indicators of organization and its division work efficiency were used. The authors propose a number of criteria and methods aimed at structure upgrading, which could be exploited in applied activity of industrial science-intensive enterprises and organizations. On the basis of mathematical methods of modeling and optimization the authors formulated suggestions concerning rational building of organizational structure and calculating parameters of completeness of structural divisions by administrative and managerial personnel.
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Andayani, Andayani, Alpin Herman Saputra, Eri Irianto et Bramianto Setiawan. « GESAMSU (Gedrik Saruk Memang Seru) Based Environmental : Effectiveness Of Games On Mathematics Communication Ability Of Elementary School Students ». AL-ISHLAH : Jurnal Pendidikan 14, no 2 (16 juin 2022) : 2359–68. http://dx.doi.org/10.35445/alishlah.v14i2.1745.

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This study aimed to determine the effectiveness of the GESAMSU (Gedrik Saruk Indeed Seru) game-based environment on students' mathematical communication skills. This research was conducted by 3rd-grade students at an Integrated Islamic Elementary School (IT) Nurul Islam Paramarta in Seputih Banyak District in Central Lampung, with a sample of 62 students in this study. This research method used Experiment with Control Group Design research type, using a random purposive sampling technique. The research design used in this study was the Pretest-Posttest Control Group Design. This study used an instrument in the form of an Essay test of mathematical communication skills. The results showed that the increase in students' mathematical communication skills who were taught by applying the Environmental-Based GESAMSU (Gedrik Saruk Indeed Seru) game was significantly higher than the increase in students' mathematical communication skills taught by conventional learning models. The average post-test score of the experimental class was higher than the post-test score of the control class, namely 85,96 and 60,63, both of which were in a different category.
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Beridze, T., A. Cherep, Z. Baranik, V. Korenyev et I. Vasylchuk. « Analysis of the regression model of the enterprise’s financial activity by research on residual error ». Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, no 2 (2021) : 193–97. http://dx.doi.org/10.33271/nvngu/2021-2/193.

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Purpose. Improvement of regression economic-mathematical models taking into account the influence of residual error as a random variable. Methodology. Methods of economic-mathematical modeling, regression analysis are used. The real conditional law of distribution of residual error as a complete characteristic of a random variable is applied. Findings. A scientific and practical approach to economic and mathematical modeling based on the study on residual error, to improve the construction of regression equations. Originality. For the first time, the application of residual error analysis as a random variable has been proposed in order to construct its conditional differential distribution function, which allows improving the quality of economic-mathematical modeling in the form of regression equations. The use of the proposed method of taking into account the residual error allows eliminating the negative impact of the violation of the conditions of the properties of the residual error in the implementation of economic and mathematical modeling using regression equations. Practical value. The analysis of the obtained results of economic-mathematical modeling of economic activity of Inhulets Mining and Processing Plant on significant statistical material with the use of the developed algorithm of residual error research confirmed the effectiveness of the proposed approach. It is recommended to include the developed algorithm taking into account the properties of the residual error in the practice of managing the financial activities of mining enterprises.
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Safitri, Danis, et Nurafni Nurafni. « The Effectiveness of PBL Models Based on Google Meet on the Ability of Mathematical Problem Solving ». Jurnal Ilmiah Sekolah Dasar 5, no 2 (30 août 2021) : 315. http://dx.doi.org/10.23887/jisd.v5i2.36608.

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Pandemic Covid-19 has a big influence on various sectors, including the education sector. This makes educators make an innovation in the learning model, which combines a model of PBL-based google meet. The purpose of this study is to analyze the presence or absence of the influence of the PBL models based on google meets on the ability of mathematical problem-solving in grade IV during distance learning. The type of research used by researchers, namely quantitative. With research design a quasi-experiment with posttest only group design. Subjects in this study were students of class IV as many as 64 students. Data collection techniques interviews and tests. While the research instrument is in the form of a posttest. Data analysis used is descriptive analysis, a test of homogeneity, normality test, hypothesis test (t-test), and test the effect size. The results showed that the average value of the posttest experimental class of 76,25 higher than the control class that is 62,18. In hypothesis testing via t-test obtained the value of sig 0.47 that where the value is smaller than α=0.05 so that H0 is rejected and H1 is accepted. This means that there is an influence of the use of PBL models based on google meet on the ability of mathematical problem-solving in grade IV. So, the use of PBL models based on google meet can be applied to learning online.
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Shukhanov, Stanislav N., et Aleksandr V. Kuzmin. « Reliability of Machine-Tractor Aggregates Operation ». Engineering Technologies and Systems 30, no 1 (31 mars 2020) : 8–20. http://dx.doi.org/10.15507/2658-4123.030.202001.008-020.

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Introduction. The development of the agro-industrial complex is impossible without creating innovative techniques and technologies. The key role in technical support of agricultural production processes is played by machine-tractor aggregates. One of their most important operational characteristics is reliability, i.e. the ability to perform specified functions, keeping over time the values of the operational indicators within the required limits. Materials and Methods. The object of the study is the reliability of machine-tractor aggregates. The methods of mathematical modeling were used for the study. The general patterns were used for special cases, taking into account the prediction of changes in parameters over time. The analytical description of machine-tractor aggregate operation reliability was based on stationary random and correlation functions. Generalized patterns were used to construct mathematical reliability models using the results of predecessor (analogue) tests. Optimal reliability of the machine-tractor aggregate operation was determined on the basis of the mathematical model of object resource. Results. There are obtained analytical dependences for the prediction of changes in reliability parameters of machine-tractor aggregate operation over time. The methods for creating reliability mathematical models are developed. Conditions affecting the functioning of the research object are determined. Discussion and Conclusion. The analysis and synthesis of research in this science field and the obtained mathematical models show that to achieve high results it is necessary to decrease the variance of factors affecting the reliability of machine-tractor aggregates.
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41

Marasovic, Paula, et Zeljko Penava. « Modelling the Stress-Strain Curve of Plane-Weave Fabric with Mathematical Models ». Textile & ; Leather Review 5 (10 août 2022) : 374–91. http://dx.doi.org/10.31881/tlr.2022.33.

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To avoid fabric deformations due to plastic deformations, it is vital to predict how the fabric will behave under load in advance. This was the starting idea for the conducted research. The basic physical and mechanical properties of plain-weave fabric samples with the same density of warp and weft and in various angles were investigated in this paper. A comparison of the experimental and computational modulus of elasticity was performed. Based on the experimental results, a mathematical model and the corresponding mathematical equations of the stress-strain curve for the examined fabric samples were set up. Finally, a statistical analysis of the models and an evaluation of the parameters and representative indicators of the mathematical models have been implemented. The experimental values of the stress-strain curves are well described by all three of the chosen models. Still, mathematical model number three M3 is best suited and can be used with great accuracy in the theoretical calculation of breaking force and elongation for the selected type of fabric.
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Cahyani, Ainun Dwi, Muhammad Ahsan et Buhaerah. « WRITTEN MATHEMATIC COMMUNICATION ABILITY DESCRIPTION ON MATHEMATICS LEARNING FOR CLASS VIII STUDENT SMPN 8 PAREPARE ». Jurnal Prinsip Pendidikan Matematika 4, no 2 (31 mai 2022) : 77–87. http://dx.doi.org/10.33578/prinsip.v4i2.122.

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This study aims to produce a description of the written mathematical communication skills of SMP class VIII students on the subject matter of patterns and number sequences. The research method used by the researcher is descriptive qualitative research. Sources of data are taken from primary data and secondary data. Data collection techniques consist of observation, interviews, and documentation. The data obtained by the researcher was analyzed using analytical methods with the steps of data reduction, data presentation, and conclusions and verification. Based on the study results, the written mathematical communication skills of class VIII students at SMPN 8 Parepare, the subject matter of patterns and number sequences, seen from the four indicators, were classified as average. This is evidenced by the results of the data presentation of indicators where indicators 3 and 4 are combined as follows: 1). Presenting and rewriting the description of a given picture or pattern using their written language is considered not good; 2). Declaring the picture into a mathematical model and completing it is considered good; 3). Declaring mathematical situations or everyday events into mathematical models in writing and connecting mathematical ideas with relevant images and solving them is considered good.
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43

Yuan, Zhong Hu, Xiao Yu Qi et Xiao Wei Han. « Design of Simulation System for Batch Process ». Applied Mechanics and Materials 55-57 (mai 2011) : 1693–98. http://dx.doi.org/10.4028/www.scientific.net/amm.55-57.1693.

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Process monitoring and fault diagnosis of batch process is a research focus in the industrial control field. In this paper, penicillin fermentation is taken as the research background, a visual batch process simulation system is designed based on mathematical models of an actual production process. By introducing different fault signals to the penicillin fermentation simulation process, the designed system can be used to simulate the real penicillin fermentation production process clearly. In the end, an ideal experimental simulation data for batch process fault diagnosis is provided.
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44

Cevikcan, Emre. « A mathematical programming approach for walking-worker assembly systems ». Assembly Automation 34, no 1 (28 janvier 2014) : 56–68. http://dx.doi.org/10.1108/aa-07-2013-067.

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Purpose – It has become increasingly critical to design and maintain flexible and rapid assembly systems due to unpredictable and varying market conditions. The first stage of developing such systems is to restructure the existing assembly system. After designing the manufacturing system, efforts should be made for capacity adjustments to meet the demand in terms of allocating tasks to workers. Walking-worker assembly systems can be regarded as an effective method to achieve flexibility and agility via rabbit chase (RC) approach in which workers follow each other around the assembly cell or line and perform each task in sequence. In this paper, a novel mathematical programming approach is developed with the aim of integrating RC in assembly processes. Therefore, this study is thought to add value to industrial assembly systems in terms of effectively raising engineering control for task allocation activities. Design/methodology/approach – Two consecutive mathematical models are developed, since such a hierarchical approach provides computational convenience for the problem. The initial mathematical programming model determines the number of workers in each RC loop for each segment. In addition, the number of stations and the distribution of station times in the segments is essential. Therefore, the succeeding mathematical programming model generates stations in each segment and provides convenience for the workflow in RC loops. The output of mathematical programming models are the parameters of simulation model for performance assessment. Findings – The effectiveness of the proposed approach was validated by an application in a real-life chair production system. The application resulted in performance improvements for labour requirement (12.5 per cent) and production lead time (9.6 per cent) when compared to a classical assembly system design (CASD) where one stationary worker exists in each station. In addition, it is worth to note that RC leads to a reduced number of workers for a considerable number (39.4 per cent) of test problems. What is more, input as well as output factors have been determined via discriminant analysis and their impacts to the utilization of RC were analyzed for different levels. Practical implications – This study is thought to add value to the industry in terms of effectively providing convenience during production planning and task allocation in assembly lines and cells. Originality/value – To the best knowledge of the author, optimization models for RC considering a real industrial application have not yet been developed. In this context, this paper presents an approach which models RC by the use of mathematical programming in manual assembly processes to address this research gap. The contribution of the paper to the relevant literature is the development of hierarchical mixed integer linear programming models to solve RC problem for the first time.
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Kruzhilko, O., N. Volodchenkova, V. Maystrenko, B. Bolibrukh, V. Kalinchyk, A. Zakora, A. Feshchenko et S. Yeremenko. « Mathematical modelling of professional risk at Ukrainian metallurgical industry enterprises ». Journal of Achievements in Materials and Manufacturing Engineering 1, no 108 (1 septembre 2021) : 35–41. http://dx.doi.org/10.5604/01.3001.0015.4797.

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Purpose: To develop a more advanced methodology, the application of which will provide an informational and computational and analytical basis for planning and implementing effective preventive measures aimed at minimizing occupational risks with limited resources, as well as in the absence of organizational and technical capabilities to create absolutely safe working conditions Design/methodology/approach: For the study, statistical data were used that obtained from enterprises of the metallurgical industry of Ukraine. Research methods: analysis and generalization of known scientific results, methods of statistical analysis, mathematical modelling, expert assessments and decision theory. Findings: The results of experimental studies have confirmed the possibility of an objective assessment of various options for the OSH management strategy, which allows justifying the allocation of funds for OSH in the required amounts. It is shown that professional risk management strategies are characterized by different efficiency in the use of available financial resources, and the most effective strategy is one that allows you to minimize the level of risk (in comparison with other strategies) with the same amount of funding. Research limitations/implications: The study focuses on enterprises of the metallurgical industry in Ukraine. Practical implications: The application of the developed mathematical models demonstrates the effectiveness of financing certain preventive and protective measures, and stimulates the head to ensure industrial safety. Originality/value: The developed mathematical models allow justifying the allocation of funds for OSH in the required amounts.
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46

Seheda, M. S., P. F. Gogolyuk et Y. V. Blyznak. « High-frequency periodic processes in two-winding power transformers ». Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, no 6 (2021) : 96–100. http://dx.doi.org/10.33271/nvngu/2021-6/096.

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Purpose. Mathematical modeling of high-frequency periodic processes in winding power transformers to improve the technology of their design and operation. Methodology. The methods of the formation of mathematical models for the research of high-frequency periodic processes in transformers and methods of solving systems of partial differential equations are applied. Findings. The mathematical model for the research of high-frequency periodic processes in two-winding transformers, with adequate considering of electromagnetic connections of windings and structural parameters of transformers, is created. Originality. To form a mathematical model for the research of high-frequency periodic processes, a substitute scheme of a two-windings transformer, taking into account the parameters of the electric and magnetic circuits of windings and electromagnetic connections between them, is proposed. Practical value. The mathematical model, which allows analyzing the voltage distribution in the transformer windings for high-frequency periodic processes in windings, and adjusting their insulating abilities, is created.
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Shakoor, Zaidoon M. « Mathematical Modeling and Simulation of the Dehydrogenation of Ethyl Benzene to form Styrene using Steady-State Fixed Bed Reactor ». Tikrit Journal of Engineering Sciences 17, no 4 (31 décembre 2010) : 36–55. http://dx.doi.org/10.25130/tjes.17.4.05.

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In this research, two models are developed to simulate the steady state fixed bed reactor used for styrene production by ethylbenzene dehydrogenation. The first is one-dimensional model, considered axial gradient only while the second is two-dimensional model considered axial and radial gradients for same variables. The developed mathematical models consisted of nonlinear simultaneous equations in multiple dependent variables. A complete description of the reactor bed involves partial, ordinary differential and algebraic equations (PDEs, ODEs and AEs) describing the temperatures, concentrations and pressure drop across the reactor was given. The model equations are solved by finite differences method. The reactor models were coded with Mat lab 6.5 program and various numerical techniques were used to obtain the desired solution. The simulation data for both models were validated with industrial reactor results with a very good concordance.
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Оlena I. Judina et Halyna A. Ryzhkova. « Study of economic development reserves of the hotel enterprises and restaurant industry under the systems analysis method ». Economies' Horizons, no 1(8) (31 mars 2019) : 99–106. http://dx.doi.org/10.31499/2616-5236.1(8).2019.189757.

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The purpose of the research. The purpose of this paper is the determination based on the method of system analysis of reserves of economic development of the enterprises of hotel and restaurant services by constructing multiple regression models of industrial and commercial activities and calculation on the basis of factors that characterize development reserves resource potentials and directions of growth of efficiency of business entities. Methodology. The methodology is based on the fundamentals of business Economics, econometrics, mathematical statistics, and publications of domestic and foreign scientists on the problems of economic development of enterprises. To identify, assess and substantiate the results of the study used methods of theoretical justification, grouping, economic-mathematical modeling, factorial, statistical, stochastic, correlation and regression analysis, etc. Results. In the work on the basis of the objective function the model of multiple regression of industrial and commercial activities, which mathematically described the communication patterns and quantitative relationships of its elements (factors or input intensities), defined a differentiated and integrated the impact of costs of operating activities on the profitability of hotel and restaurant management. By calculating βKi-coefficients set share changes standard deviation values of the resultant variable due to changes in relevant economic indicators regression equation on the value of its standard deviation. According to the calculated βKicoefficients that characterize the degree of a variation factor parameter defined by reserves economic development and possibilities of improving the productive performance of enterprises, as reflected in economic and mathematical models. It is proved that the increase in the costs of labor resource development and administrative expenses increases the level of income of the enterprise, and the increase of material costs and expenses on the basic production funds have a negative impact on the efficiency of functioning and, consequently, the development of economic entities. It has also been found that the largest reserves for raising the income level of the hotel and restaurant business are laid down in the cost of OVF and administrative and marketing activities. Practical meaning. The proposed research method-ology was used in forecasting and planning the results of the enterprises. The prospects for further research are to identify trends and to form an effective mechanism for sustainable economic development of hotel and restaurant businesses.
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Aouadni, Sourour, Ismahene Aouadni et Abdelwaheb Rebaï. « A systematic review on supplier selection and order allocation problems ». Journal of Industrial Engineering International 15, S1 (13 novembre 2019) : 267–89. http://dx.doi.org/10.1007/s40092-019-00334-y.

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Abstract The supplier selection and order allocation are two key strategic decisions in purchasing problem. The review presented in this paper focuses on the supplier selection problems (SSP) and order allocation from year 2000 to 2017 in which a new structure and classification of the existing research streams and the different MCDM methods and mathematical models used for SSP will be presented. The review was examined in three aspects: the summaries of the existing evidence concerning the problems, the identification of gaps in the current research to help determine where further investigation might be needed and positioning new research activities.
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TKACHOVA, Tetiana. « MODEL FOR OF THE MECHANISM FOR DECISIONS MAKING PROCESS ». Ukrainian Journal of Applied Economics 5, no 2 (7 mai 2020) : 418–24. http://dx.doi.org/10.36887/2415-8453-2020-2-50.

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In the conditions of the domestic market transformation of machine-building enterprises it becomes important to use resources which unite the software of foreign manufacturers with domestic. One of the most important tasks at the present stage of machine-building enterprises transformation of Kharkiv region is the strategy formation of industrial enterprises. Reforming the economy of Ukraine, structural changes that occurred in the period of emergence and development of market relations, affected the development of information technology in enterprises, dramatically changing the conditions of enterprises in a particular industry. This forces enterprises to look for effective development strategies aimed not only at implementing their social functions, but also at increasing their independence and economic independence, so the mechanism of forming a strategy for the development of machine-building enterprises in Kharkiv region is an urgent task for effective operation. The improved methodical approach to application of models of the organizational and economic mechanism of information and communication development of the enterprises of machine-building branch gives the chance for construction of mathematical models of coordination of administrative decisions. It is proposed to use existing software products and international standards for analysis and forecasting to develop the strategy of the enterprise, without which it is impossible to build an adequate mathematical model with given parameters, which will help to describe each process in production. The created elements of mathematical and software allow to receive adequate mathematical models, to reduce energy and computational expenses for research of objects, to make more qualitative and effective management and forecasting of their behavior. Finally, the research methods proposed in this paper are a mathematical model that contains interconnected disparate resources, the operation of which is subject to a set of rules and objectives for information and communication infrastructure of the enterprise, its socio-economic development and effective organization of business processes. Keywords: management decisions, objectivity model, adequate mathematical models, artificial neural networks.
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