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Mathematical Modeling of Engineering and Socio-Economic Processes and Systems

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A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Dynamical Systems".

Deadline for manuscript submissions: closed (30 January 2024) | Viewed by 18339

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Special Issue Editors

Dr. Sergei Viktorovich Aliukov

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Guest Editor

1. Department of Automotive Engineering, South Ural State University, 76, Chelyabinsk 454080, Russia
2. Department of Digital Economics and Information Technologies, South Ural State University, 76, Chelyabinsk 454080, Russia
Interests: mathematical modeling; nonlinear dynamics; differential equations; approximation theory; continuously variable transmissions; macroeconomics; models of economic growth

Dr. Anatoliy Alekseevich Alabugin

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Guest Editor

1. Department of Industrial Heat Power Engineering, South Ural State University, 76, Chelyabinsk 454080, Russia
2. Department of Digital Economics and Information Technologies, South Ural State University, 76, Chelyabinsk 454080, Russia
Interests: macroeconomics; microeconomics; study of the processes of development and adoption of managerial decisions under conditions of high uncertainty; development of theoretical; methodological and mathematical apparatus for the formation of adaptive mechanisms for complex socio-economic systems

Dr. Konstantin Vladimirovich Osintsev

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Guest Editor

Department of Industrial Heat Power Engineering, South Ural State University, 76, Chelyabinsk 454080, Russia
Interests: exergy analysis of thermal equipment; heat supply; heat pumps; cooling; combustion; neural networks

Special Issue Information

Dear Colleagues,

This special issue publishes articles based on the results of mathematical modeling for solving engineering and socio-economic problems. This means applying mathematical applications in a non-mathematical context. The following areas of work are relevant in engineering processes and control systems for objects of industries, for example, power engineering: improvement of technical, technological and information methods for the effective integration of renewable and traditional energy facilities in energy technology complexes; modeling and regulation of non-equilibrium processes of thermal power engineering with the development of new theoretical models; improvement of theoretical and methodological approaches to the description of jump and impulse processes when combining the capabilities of complex systems using diversified material and energy resources. In the field of mechanical engineering, works related to the mathematical description of adaptive technical systems, improvement of engineering systems and processes are relevant.

In socio-economic processes and systems, the following areas of work are relevant: integrated accounting for internal and external factors of environmental uncertainty, which increases the importance of mathematical modeling of macro- and microeconomic scenarios, strategies for the organizational behavior of objects of complex systems using methods of integrating Big Data and Data Science technologies; mathematical models of integration and combination of resources of the post-industrial economy of knowledge in the mechanisms of management according to the criteria of sustainability in the innovation cycle of the development of the object; mathematical problems of evaluating and displaying the processes of effective development in abrupt and evolutionary transitions to a sustainable high-tech type of development based on the results of analog-digital modeling; innovations in the educational context.

Potential topics include, but are not limited to:

Mathematical modeling for scientific and engineering applications;
Optimization and control in engineering applications;
Analytical and numerical methods for solving engineering and socio-economic problems;
Integration of economic and mathematical models and approaches;
Innovation in an educational context;
Improvement of the mathematical description of modern evolutionary, spasmodic and impulsive processes and phenomena.

Dr. Sergei Viktorovich Aliukov
Dr. Anatoliy Alekseevich Alabugin
Dr. Konstantin Vladimirovich Osintsev
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

mathematical modeling
mathematical applications in engineering and economic systems
control systems
jump processes
educational technologies
adaptive systems
mathematical models of resource integration
theory of approximation

Published Papers (14 papers)

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Research

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20 pages, 8295 KiB

Open AccessArticle

Frequency Criterion for the Existence of Sliding Processes in Control Systems with an Arbitrary Variable Structure

by Vladimir Kodkin, Ekaterina Kuznetsova, Alexander Anikin and Alexander A. Baldenkov

Mathematics 2024, 12(6), 856; https://doi.org/10.3390/math12060856 - 14 Mar 2024

Viewed by 524

Abstract

The article proposes a criterion for the existence of sliding processes according to the frequency characteristics of the control device and the control object. It is shown that the conditions for the existence of slip are equivalent to the conditions for the absolute stability of equivalent circuits of the original systems with a variable structure. This approach is proposed by the authors as an alternative to the method of phase trajectories and state space equations used by other researchers. Frequency criteria make it possible to formulate several practical engineering provisions that are very important for the implementation of this control method in real electric drives. The main conclusions are confirmed by simulation of both processes in systems with a variable structure and in equivalent circuits. Full article

(This article belongs to the Special Issue Mathematical Modeling of Engineering and Socio-Economic Processes and Systems)

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24 pages, 14057 KiB

Open AccessArticle

Modeling of Rapidly Changing Macroeconomic Processes Based on the Analysis of Jump and Generalized Functions

by Sergei Aliukov

Mathematics 2024, 12(1), 138; https://doi.org/10.3390/math12010138 - 31 Dec 2023

Viewed by 631

Abstract

In recent years, the economies of many countries around the world have been in a situation of intense, rapidly changing, abrupt processes. The current situation urgently requires a change in the economic paradigm in the near future, which leads to the need to develop new conceptual models. The purpose of the article is to develop basic theoretical principles and practical approaches to modeling macroeconomic processes based on the analysis of jump and generalized functions. The objectives of the study are the following: (1) describe the main types of impulse and jump functions using examples from economic theory and practice; (2) perform an analytical representation of impulse and jump functions; (3) select macroeconomic characteristics to analyze rapidly changing processes in the economy; and (4) create models and mechanisms for forecasting impulsive and abrupt changes in the macroeconomy. The approaches to the development of macroeconomic theory and its methods proposed in the article are not associated with the use of evolutionary continuous functions; for example, power functions, which is typical for many canonical macroeconomic models. These approaches do not include management decisions to achieve optimal values of given target functions, which is typical for recursive macroeconomic models of dynamic programming. This article is about formulating the main provisions of macroeconomic theory and its methods, which, with varying degrees of accuracy, could give a forecast about the upcoming possibility of sudden changes (impulse, shock, spasmodic, and others) in the macroeconomic situation. The research methodology is statistical analysis, special methods developed by the author for studying impulse, and jump processes. As a result of this study, the basic principles of modeling macroeconomic theory based on rapid impulse and abrupt changes were formulated, approaches to constructing the tools of this theory were outlined, and problems and tasks for further research were identified. Full article

(This article belongs to the Special Issue Mathematical Modeling of Engineering and Socio-Economic Processes and Systems)

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40 pages, 11941 KiB

Open AccessArticle

Dynamic Analysis of the EU Countries Sustainability: Methods, Models, and Case Study

by Elena Lyaskovskaya, Gulnaz Khalilova and Kristina Grigorieva

Mathematics 2023, 11(23), 4807; https://doi.org/10.3390/math11234807 - 28 Nov 2023

Viewed by 631

Abstract

The agenda for sustainable development actualizes sustainability analysis of countries’ social, ecological, and economic conditions, as well as the necessity of designing practical recommendations to realize the sustainable development goals (SDGs). Sustainability analysis is a part of decision making and policy development in a broad environmental, economic, and social context. That is why this analysis goes beyond simple technical assessment. In order to make sustainability a target variable in development strategies, it is necessary to use special methods combining mathematical tools and managerial content. The paper systematizes modern mathematical methods for assessing economic sustainability and proposes a methodology for the integrated assessment of the social, economic, and environmental sustainability of countries, which were tested on data from 24 EU countries over 12 periods. The case study results derived from spatial and temporal samples are consistent with the currently observed processes in the EU. The content basis is the UN concept of sustainable development, the instrumental basis is multivariate comparisons, the Mahalanobis distances method, the correlation and regression analysis, analysis of variance, time series analysis, and trends analysis. Composite indices of social, economic, and environmental sustainability of the EU countries, each of them including five indicators, were developed in this study; the levels of social, economic, and environmental sustainability of EU countries were determined, as well as individual instability indicators. Mahalanobis distances and relative and absolute sustainability indicators were calculated and determined. Cluster analysis of the EU countries by levels of social, economic, and environmental instability and Mahalanobis distances, the diagnosis of the current situation and dominant trends were carried out for testing the hypothesis that there are positive relations between the instability of development and Mahalanobis distances. Hypotheses about the relationship between instability and the level of country development, reflected in the values of socio-economic and environmental indicators, and whether countries with good values of social, environmental, and economic indicators are the most sustainable, were investigated. Full article

(This article belongs to the Special Issue Mathematical Modeling of Engineering and Socio-Economic Processes and Systems)

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20 pages, 12513 KiB

Open AccessArticle

Analytical and Numerical Study of Information Retrieval Method Based on Single-Layer Neural Network with Optimization of Computing Algorithm Performance

by Konstantin Kostromitin, Konstantin Melnikov and Dar’ya Nikonova

Mathematics 2023, 11(17), 3648; https://doi.org/10.3390/math11173648 - 23 Aug 2023

Viewed by 711

Abstract

This work presents a mathematical model of a fast-acting single-layer artificial neural network applied to the task of image reconstruction after noise. For research purposes, this algorithm was implemented in the Python and C++ programming languages. The numerical simulation of the recovery efficiency of the described neural network was performed for different values of the noise factor, the number of samples required to train elements in the sample and the dimensionality of the coupling coefficients, w. The study of the mathematical model of this neural network is presented; as a result, it is possible to identify its essence, to reduce the number of operations required to recover a single element and to increase recovery accuracy by changing the order of calculation of coupling coefficients, w. Full article

(This article belongs to the Special Issue Mathematical Modeling of Engineering and Socio-Economic Processes and Systems)

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19 pages, 3022 KiB

Open AccessArticle

Building of a Mathematical Model for Solving the Elastic–Gas-Dynamic Task of the Gas Lubrication Theory for Petal Bearings

by Sergey Surovtcev, Elena Zadorozhnaya, Nadezhda Khozenyuk and Oleg Mashkov

Mathematics 2023, 11(13), 2901; https://doi.org/10.3390/math11132901 - 28 Jun 2023

Viewed by 720

Abstract

Petal gas bearings are widely used in industrial turbine installations. However, there are practically no mathematical models that take into account the nonlinear dependence of the elastic element deformations of the gas-dynamic bearing on the pressure. It is very difficult to obtain a converged solution with a given accuracy in an acceptable time. On this basis, a mathematical model of the motion of a gas-dynamic bearing with a petals package was proposed. The model takes into account the pressure dependence of the elastic element deflections of the bearing, as well as the bearing design features and its elastic elements. A feature of solving the presented task was the joint solution of two subtasks: gas lubrication and deformations of the elastic elements of the bearing. The problem was that the contact areas of the elastic elements are not known in advance. The search for deflections or the formulation of the elasticity problem was based on the Lagrange variational principle. Petals are in the shape of thin cylindrical shells. The solution was achieved by minimizing the potential energy of the system of deformed petal shells using the first-order gradient method. The solution to the gas-dynamics problem was achieved by applying an explicit finite-difference approximation in time. To implement the proposed model, a numerical algorithm was developed to solve the related tasks of dynamics and elasticity by combining the methods of variational calculus, optimization, and an explicit finite-difference time scheme. The order of accuracy of convergence of the solution corresponded to 10⁻⁵. The study demonstrated that the load-carrying capability of the bearing increased by 2–4 times with an increase in the number of petals. The results of experimental studies allowed us to estimate the interval for the ascent speed of the rotor, which was used as the initial conditions for numerical modeling. Full article

(This article belongs to the Special Issue Mathematical Modeling of Engineering and Socio-Economic Processes and Systems)

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11 pages, 4265 KiB

Open AccessArticle

A Method for Mathematical Modeling of Hydrodynamic Friction of Plunger Pairs with Consideration of Microgeometry

by Konstantin Gavrilov, Yuriy Rozhdestvenskii and Ildar Umurzakov

Mathematics 2023, 11(12), 2637; https://doi.org/10.3390/math11122637 - 9 Jun 2023

Viewed by 1005

Abstract

The fuel injection system heavily relies on the high-pressure fuel pump, which plays a critical role in its overall performance. The fuel pump plunger is subjected to high levels of stress and experiences irregular lubrication during dynamic loads, causing premature wear. In the industrial sector, laser surface micro-texturing has been utilized to reduce friction and enhance anti-wear properties, and its positive impact has been supported by both theoretical and experimental evidence. This article presents a method for determining the hydromechanical characteristics of plunger pairs under conditions of hydrodynamic friction. The microgeometry of friction surfaces was taken into account through the cavitation effect of the lubricating fluid, described by the modified Reynolds equation. Software was developed according to the proposed method. The developed software can be used to analyze the contacting surfaces of plunger pairs and evaluate their tribotechnical characteristics based on the microgeometry parameters of the friction surfaces. The article also discusses the impact of the microgeometry parameters on the quality criteria of the hydromechanical characteristics of the plunger pairs. Computational examples are given for the analysis of contacting surfaces of plunger pairs separated by a lubrication layer. The technical characteristics are evaluated depending on the parameters of the microgeometry of the roughness of the friction surfaces. The influence of the microgeometry parameters on the quality criteria of the hydromechanical characteristics of the plunger pairs is presented. Full article

(This article belongs to the Special Issue Mathematical Modeling of Engineering and Socio-Economic Processes and Systems)

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16 pages, 4384 KiB

Open AccessArticle

Horizontal Axis Wind Turbine Weather Vane Aerodynamic Characteristics: Delayed Detached Eddy Simulation and Experimental Approach

by Evgeny V. Solomin and Gleb N. Ryavkin

Mathematics 2023, 11(8), 1834; https://doi.org/10.3390/math11081834 - 12 Apr 2023

Cited by 1 | Viewed by 1165

Abstract

The known differential yaw error of horizontal axis wind turbines is clearly linked to weather vane fluctuations, arising out of the deflection of the onrushing wind flow from the rotating blades. Since the problem has not been resolved as the control systems still present this problem, it should be considered as an actual difficulty requiring deeper studies of the weather vane’s aerodynamic features, including the modeling of its deviations. This paper focuses on the computational fluid dynamics and experimental study of the aerodynamic characteristics of the weather vane located on the nacelle top of horizontal axis wind turbines. Computational fluid dynamics simulation is based on the k-ω Shear Stress Transport turbulence model and the Delayed Detached Eddy Simulation. The numerical simulation and laboratory experiment arrangements are demonstrated in detail. The new scientific results obtained during the research include the validation of the numerical experiment, demonstration of the differences in forming the wake structures for the used models on the studied angles of attack and comparison of the mean values of the moment and power spectral densities for all cases, which demonstrated a good correlation between the Delayed Detached Eddy Simulation data and the experiment. The time spent on the preparation of numerical experiments using different models was accurately estimated, to give an understanding of man-hour resources. The obtained moment values for the weather vane are applied for further mathematical modeling of the systems intended for the reduction in the differential yaw error. The applicability of the Delayed Detached Eddy Simulation approach was proved by the simulation of the aerodynamic characteristics of complexly streamlined bodies, but at the same time, it showed an extended calculation period. The results obtained during the study expand upon the experience of using numerical simulation when studying horizontal axis wind turbines and may be used to build mathematical models of yaw control systems. Full article

(This article belongs to the Special Issue Mathematical Modeling of Engineering and Socio-Economic Processes and Systems)

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23 pages, 4451 KiB

Open AccessArticle

Measuring and Modelling the Concentration of Vehicle-Related PM2.5 and PM10 Emissions Based on Neural Networks

by Vladimir Shepelev, Aleksandr Glushkov, Ivan Slobodin and Yuri Cherkassov

Mathematics 2023, 11(5), 1144; https://doi.org/10.3390/math11051144 - 25 Feb 2023

Cited by 6 | Viewed by 1672

Abstract

The urban environment near the road infrastructure is particularly affected by traffic emissions. This problem is exacerbated at road junctions. The roadside concentration of particulate (PM2.5 and PM10) emissions depends on traffic parameters, meteorological conditions, the characteristics and condition of the road surface, and urban development, which affects air flow and turbulence. Continuous changes in the structure and conditions of the traffic flow directly affect the concentration of roadside emissions, which significantly complicates monitoring and forecasting the state of ambient air. Our study presents a hybrid model to estimate the amount, concentration, and spatio-temporal forecasting of particulate emissions, accounting for dynamic changes in road traffic structure and the influence of meteorological factors. The input module of the model is based on data received from street cameras and weather stations using a trained convolutional neural network. Based on the history of emission concentration data as input data, we used a self-learning Recurrent Neural Network (RNN) for forecasting. Through micromodeling, we found that the order in which vehicles enter and exit an intersection affects the concentration of vehicle-related emissions. Preliminary experimental results showed that the proposed model provides higher accuracy in forecasting emission concentration (83–97%) than existing approaches. Full article

(This article belongs to the Special Issue Mathematical Modeling of Engineering and Socio-Economic Processes and Systems)

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18 pages, 2255 KiB

Open AccessArticle

Investigation of the Convergence of a Multi-Grid Algorithm for Solving the Task of Pressure in the Thin Lubricating Film of the Non-Newtonian Fluid

by Elena Zadorozhnaya, Igor Levanov, Igor Mukhortov and Vlad Hudyakov

Mathematics 2023, 11(1), 54; https://doi.org/10.3390/math11010054 - 23 Dec 2022

Cited by 1 | Viewed by 975

Abstract

The article describes a multi-grid algorithm for integrating the Reynolds equation for hydrodynamic pressures in the lubricating film of a heavy-loaded journal bearing. This equation is the basic one in solving the tasks of designing friction units of piston- and rotary machines. Lubrication sources of various configurations in the form of grooves and holes located on the friction surfaces were taken into account. The version of the multi-grid algorithm developed by the authors is based on Brandt’s work. At each level of grids, not only the convergence of the solution is controlled, but also the rate of convergence. The pressure equation was approximated by finite differences using the control volume method and passed to a system of algebraic equations, which were solved by the Seidel method. Bessel formulas were used as the interpolation operator. The function for taking into account the non-Newtonian properties of the lubricant is based on the power law. Comparison of the developed algorithm with other versions showed high efficiency. The use of multi-grid algorithms makes it possible to perform multi-variant calculations of the dynamics of heavily loaded bearings. As a result of the calculations, the characteristics of the connecting rod bearing of the heat engine, as well as the multilayer bearing of the turbocharger, are presented. Full article

(This article belongs to the Special Issue Mathematical Modeling of Engineering and Socio-Economic Processes and Systems)

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24 pages, 4135 KiB

Open AccessArticle

Modeling the Operation of Signal-Controlled Intersections with Different Lane Occupancy

by Viacheslav Morozov, Vladimir Shepelev and Viktor Kostyrchenko

Mathematics 2022, 10(24), 4829; https://doi.org/10.3390/math10244829 - 19 Dec 2022

Cited by 8 | Viewed by 1802

Abstract

In many cities of the world, the problem of traffic congestion on the roads remains relevant and unresolved. It is especially noticeable at signal-controlled intersections, since traffic signalization is among the most important factors that reduce the maximum possible value of the traffic flow rate at the exit of a street intersection. Therefore, the development of a methodology aimed at reducing transport losses when pedestrians move through signal-controlled intersections is a joint task for the research and engineering community and municipalities. This paper is a continuation of a study wherein the results produced a mathematical model of the influence of lane occupancy and traffic signalization on the traffic flow rate. These results were then experimentally confirmed. The purpose of this work is to develop a method for the practical application of the mathematical model thus obtained. Together with the obtained results of the previous study, as well as a systems approach, traffic flow theory, impulses, probabilities and mathematical statistics form the methodological basis of this work. This paper established possible areas for the practical application of the previously obtained mathematical model. To collect the initial experimental data, open-street video surveillance cameras were used as vehicle detectors, the image streams of which were processed in real time using neural network technologies. Based on the results of this work, a new method was developed that allows for the adjustment of the traffic signal cycle, considering the influence of lane occupancy. In addition, the technological, economic and environmental effects were calculated, which was achieved through the application of the proposed method. Full article

(This article belongs to the Special Issue Mathematical Modeling of Engineering and Socio-Economic Processes and Systems)

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13 pages, 2830 KiB

Open AccessArticle

The Construction of Models of Rough Surfaces’ Interaction: Markov’s Approach

by Konstantin Gavrilov, Yuriy Rozhdestvenskii and Ildar Umurzakov

Mathematics 2022, 10(19), 3607; https://doi.org/10.3390/math10193607 - 2 Oct 2022

Cited by 1 | Viewed by 1060

Abstract

This article shows that the change of rough surfaces in the way of their contact interaction can be analyzed using the theory of Markov’s processes. In the framework of existing models, this problem cannot be solved. In this article, the idea of reducing to Markov’s model is shown on a simple discrete scheme, which is then generalized. The approach was applied to the analysis of the friction process, to the fatigue failure mode, in which the surface element changes after multiple contacts, possibly many millions. The Kolmogorov-Feller’s equations for the model of this regime were presented and the model of the influence of lubrication is offered. A calculated example of estimating the evolution of surfaces separated by a lubricant layer is given. Additionally, the technical characteristics as functions of the friction path and the load were evaluated. Full article

(This article belongs to the Special Issue Mathematical Modeling of Engineering and Socio-Economic Processes and Systems)

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Review

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37 pages, 2239 KiB

Open AccessReview

A Review of Mathematical Models of Macroeconomics, Microeconomics, and Government Regulation of the Economy

by Veniamin Mokhov, Sergei Aliukov, Anatoliy Alabugin and Konstantin Osintsev

Mathematics 2023, 11(14), 3246; https://doi.org/10.3390/math11143246 - 24 Jul 2023

Cited by 1 | Viewed by 3613

Abstract

This review analyzes articles on the mathematical modeling of economic facts and processes. Mathematical modeling of the economy has rapidly developed in the past and current centuries. This is explained by the fact that, firstly, economics does not tolerate full-scale experiments, secondly, mathematical modeling significantly improves the accuracy of research results, and, finally, thirdly, economics becomes a science only when it is based on mathematics. The article presents an overview of the main methods of economic modeling used in scientific research over the past twenty years. The review does not claim to cover all areas, methods, and models used in scientific research in the field of economics. This cannot be done in one article. Mathematical modeling of only three sections of economic theory is considered: macroeconomics, microeconomics, and state regulation of the economy. The review of research methods and models in the microeconomics section, which are available in the scientific research toolkit but have already been described in the macroeconomics section, has been omitted. Only effective, practice-tested models are used in the Review. We hope that this review will be useful to scientists involved in the indirect study of economic phenomena and processes. Full article

(This article belongs to the Special Issue Mathematical Modeling of Engineering and Socio-Economic Processes and Systems)

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20 pages, 3221 KiB

Open AccessReview

Mathematical Models in High-Temperature Viscometry: A Review

by Inna Elyukhina

Mathematics 2023, 11(10), 2300; https://doi.org/10.3390/math11102300 - 15 May 2023

Cited by 2 | Viewed by 1031

Abstract

We systematize and review the mathematical models for use in oscillating-cup viscometry to solve different problems: for analysis of fluid flow and viscometer oscillations, for estimation of rheological constants and density, and for study without taking into account the traditional assumptions of this [...] Read more.

(This article belongs to the Special Issue Mathematical Modeling of Engineering and Socio-Economic Processes and Systems)

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25 pages, 360 KiB

Open AccessReview

A Review of Methods, and Analytical and Experimental Studies on the Use of Coal–Water Suspensions

by Konstantin Osintsev, Sergei Aliukov and Anatoliy Alabugin

Mathematics 2022, 10(20), 3915; https://doi.org/10.3390/math10203915 - 21 Oct 2022

Cited by 2 | Viewed by 1299

Abstract

Research in the field of building mathematical models for combustion processes has been ongoing ever since the chemical reactions of combustion were first discovered. The authors of this review have systematized mathematical models of coal–water suspension (CWS) combustion processes, the sequence of analytical and experimental studies, and have also shown the global genesis of the CWS use. In addition, this review touches upon a topic that is inextricably linked with the combustion of CWS, namely their transportation from the place of coal mining to their place of thermal utilization. For developing countries, their own energy independence is in the foreground, as it is the basis for their economic independence and also a means for other sectors of their economy to be protected from the impact of market changes in fuel prices in the future spot world market. The authors of this review explored the possibility of using Kyrgyz brown coal and transporting it through a coal pipeline from a mountainous area to an industrial site for thermal utilization in specialized steam boiler units. As the economic analysis showed, for the conditions of the Republic of Kyrgyzstan, the use of CWS and coal pipelines with rising prices for natural gas is economically justified. The recommendations of the authors are used in scientific reports and methodological recommendations for the energy and mining sectors of the Republic of Kyrgyzstan, how the recommendations can also be applied to similar conditions in the highlands of Russia, China, and India. Full article

(This article belongs to the Special Issue Mathematical Modeling of Engineering and Socio-Economic Processes and Systems)

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