scholarly journals FORMULATION OF THE PROBLEM FOR RESEARCHING THE COMPETITION OF TWO FIRMS TAKING INTO ACCOUNT THEIR MUTUAL AWARENESS

2021 ◽  
pp. 89-93
Author(s):  
Лариса Николаевна Борисоглебская ◽  
Денис Владимирович Данилевич ◽  
Евгений Васильевич Пахолкин ◽  
Сергей Михайлович Сергеев
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Energy Efficiency ◽  
Practical Importance ◽  
Competitive Environment ◽  
State University ◽  
Digital Environment ◽  
Mutual Awareness ◽  
Innovative Products ◽  
Pure Competition

Исследование посвящено математическому моделированию ситуации конкурентного присутствия в рамках рыночной дуополии. Рассматривается ситуация чистой конкуренции и вариант взаимной осведомленности о стратегии конкурента. Результаты исследования имеют практическое значение для деятельности Инжинирингового центра технологий цифровой среды для обеспечения комплексной безопасности телекоммуникации, средств связи и энергоэффективности Орловского государственного университета им. И.С. Тургенева. Основные положения могут применяться при выборе стратегии поведения на рынке стратегически важных инновационных продуктов. Представленные в рамках данного исследования материалы и математическая модель, разработанные в соответствии с программой деятельности Инжинирингового центра, созданного на базе ОГУ им. И.С. Тургенева, по направлению технологий цифровой среды для обеспечения комплексной безопасности телекоммуникации, средств связи и энергоэффективности дают возможность осуществить прогнозный расчет экономически важных показателей и сопутствующих издержек в условиях конкурентного окружения. The study is devoted to mathematical modeling of the situation of competitive presence within the framework of a market duopoly. The situation of pure competition and the variant of mutual awareness of the competitor's strategy is considered. The results of the study are of practical importance for the activities of the Engineering Center for Digital Environment Technologies to ensure the integrated security of telecommunications, communications and energy efficiency of the Oryol State University. I.S. Turgenev. The main provisions can be applied when choosing a strategy of behavior in the market of strategically important innovative products. The materials and mathematical model presented in the framework of this research, developed in accordance with the program of activities of the Engineering Center, created on the basis of the OSU named after I.S. Turgenev, in the direction of digital environment technologies to ensure integrated security of telecommunications, communications and energy efficiency, make it possible to carry out a predictive calculation of economically important indicators and associated costs in a competitive environment.

scholarly journals MODELING THE PROBLEM OF ENERGY EFFICIENCY REMOTE AGRARIAN FARMS

2021 ◽  
pp. 32-38
Author(s):  
Лариса Николаевна Борисоглебская ◽  
Сергей Михайлович Сергеев ◽  
Яна Олеговна Лебедева
Keyword(s):  
Mathematical Modeling ◽  
Energy Efficiency ◽  
Agricultural Sector ◽  
Energy Resources ◽  
State University ◽  
Digital Environment ◽  
Limited Energy ◽  
Scientific Approach

В статье изложены результаты исследований в рамках выполнения стратегических направлений деятельности Инжинирингового центра технологий цифровой среды для обеспечения комплексной безопасности телекоммуникации, средств связи и энергоэффективности Орловского государственного университета им. И.С. Тургенева. Рассмотрен актуальный для аграрного сектора вопрос функционирования периферийных сельскохозяйственных объектов в условиях ограниченных энергоресурсов. Предложен научный подход с использованием математического моделирования. The article presents the results of research in the framework of the implementation of the strategic directions of the Engineering Center for Digital Environment Technologies to ensure the integrated security of telecommunications, communications and energy efficiency of the Oryol State University named after I.S. Turgenev. The issue of the functioning of peripheral agricultural facilities in conditions of limited energy resources, which is relevant for the agricultural sector, is considered. A scientific approach using mathematical modeling is proposed.

Results of Mathematical Modeling to Study the Influence of Accounting the Process Moisture on Energy Indicators of Cogeneration Steam Turbines

2015 ◽  
Vol 792 ◽  
pp. 370-374 ◽  
Author(s):  
Natalia Tatarinova ◽  
Dmitry Suvorov
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Energy Efficiency ◽  
Steam Turbines ◽  
Moisture Measurement ◽  
Energy Indicators ◽  
The Mathematical Model

The article proposes and being tested a methodology that allows using the mathematical model developed to clarify the possible impact of a precise process moisture measurement on the performance of energy efficiency of the cogeneration turbines.

scholarly journals MATHEMATICAL MODELING IN SOIL BIOKINETICS

2021 ◽  
Vol 12 (2) ◽  
Author(s):  
Mikhail Vladimirovich Glagolev
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Steady State ◽  
Numerical Methods ◽  
Computer Programs ◽  
Soil Science ◽  
State University ◽  
Moscow State University

This work is a report written at the suggestion of Ph.d. N. S. Panikov in 1985 when the author was a 2nd-year student of the Faculty of Soil Science of the M. V. Lomonosov Moscow State University. The report provides an example of a mathematical model of soil biokinetics and discusses numerical methods for solving its constituent equations. For the steady state, some useful computer programs are given, and for the non steady state, references to programs published in the literature are given.

Application of the method of mathematical modeling for forecasting channel deformations at the underwater crossing of the main pipeline

2020 ◽  
Vol 10 (6) ◽  
pp. 599-609
Author(s):  
Valery А. Gruzdev ◽  
◽  
Georgy V. Mosolov ◽  
Ekaterina A. Sabayda ◽  
◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Roughness Coefficient ◽  
Computational Domain ◽  
Channel Deformations ◽  
Geological Surveys ◽  
Kuban River ◽  
The Stability ◽  
Protective Structures

In order to determine the possibility of using the method of mathematical modeling for making long-term forecasts of channel deformations of trunk line underwater crossing (TLUC) through water obstacles, a methodology for performing and analyzing the results of mathematical modeling of channel deformations in the TLUC zone across the Kuban River is considered. Within the framework of the work, the following tasks were solved: 1) the format and composition of the initial data necessary for mathematical modeling were determined; 2) the procedure for assigning the boundaries of the computational domain of the model was considered, the computational domain was broken down into the computational grid, the zoning of the computational domain was performed by the value of the roughness coefficient; 3) the analysis of the results of modeling the water flow was carried out without taking the bottom deformations into account, as well as modeling the bottom deformations, the specifics of the verification and calibration calculations were determined to build a reliable mathematical model; 4) considered the possibility of using the method of mathematical modeling to check the stability of the bottom in the area of TLUC in the presence of man-made dumping or protective structure. It has been established that modeling the flow hydraulics and structure of currents, making short-term forecasts of local high-altitude reshaping of the bottom, determining the tendencies of erosion and accumulation of sediments upstream and downstream of protective structures are applicable for predicting channel deformations in the zone of the TLUC. In all these cases, it is mandatory to have materials from engineering-hydro-meteorological and engineering-geological surveys in an amount sufficient to compile a reliable mathematical model.

On the displacements of the contours of the optic-electronic space images. Mathematical modeling of displacement

2017 ◽  
Vol 992 (4) ◽  
pp. 32-38 ◽  
Author(s):  
E.G. Voronin
Keyword(s):  
Mathematical Modeling ◽  
Remote Sensing ◽  
Mathematical Model ◽  
Point Of View ◽  
Design Features ◽  
Space Images ◽  
Electronic Imaging ◽  
Measuring Accuracy ◽  
Physical Laws

The article opens a cycle of three consecutive publications dedicated to the phenomenon of the displacement of the same points in overlapping scans obtained adjacent CCD matrices with opto-electronic imagery. This phenomenon was noticed by other authors, but the proposed explanation for the origin of displacements and the resulting estimates are insufficient, and developed their solutions seem controversial from the point of view of recovery of the measuring accuracy of opticalelectronic space images, determined by the physical laws of their formation. In the first article the mathematical modeling of the expected displacements based on the design features of a scanning opto-electronic imaging equipment. It is shown that actual bias cannot be forecast, because they include additional terms, which may be gross, systematic and random values. The proposed algorithm for computing the most probable values of the additional displacement and ways to address some of the systematic components of these displacements in a mathematical model of optical-electronic remote sensing.

scholarly journals Dimensionless Analysis on the Characteristics of Pneumatic Booster Valve with Energy Recovery

2016 ◽  
Vol 2016 ◽  
pp. 1-13
Author(s):  
Fan Yang ◽  
Kotaro Tadano ◽  
Gangyan Li ◽  
Toshiharu Kagawa
Keyword(s):  
Mathematical Model ◽  
Energy Efficiency ◽  
Energy Recovery ◽  
Operational Parameters ◽  
Local Pressure ◽  
Air Power ◽  
Improve Energy Efficiency ◽  
Dimensionless Analysis ◽  
Air Supply ◽  
Save Energy

Factories are increasingly reducing their air supply pressures in order to save energy. Hence, there is a growing demand for pneumatic booster valves to overcome the local pressure deficits in modern pneumatic systems. To further improve energy efficiency, a new type of booster valve with energy recovery (BVER) is proposed. The BVER principle is presented in detail, and a dimensionless mathematical model is established based on flow rate, gas state, and energy conservation. The mathematics model was transformed into a dimensionless model by accurately selecting the reference values. Subsequently the dimensionless characteristics of BVER were found. BVER energy efficiency is calculated based on air power. The boost ratio is found to be mainly affected by the operational parameters. Among the structural ones, the recovery/boost chamber area ratio and the sonic conductance of the chambers are the most influential. The boost ratio improves by 15%–25% compared to that of a booster valve without an energy recovery chamber. The efficiency increases by 5%–10% depending on the supply pressure. A mathematical model is validated by experiment, and this research provides a reference for booster valve optimisation and energy saving.

Mathematical modeling of fluid movement inside the eyeball during intravitreal injection

2021 ◽  
pp. 106-109
Author(s):  
D.V. Lipatov ◽  
◽  
S.A. Skladchikov ◽  
N.P. Savenkova ◽  
V.V. Novoderezkin ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Residence Time ◽  
Complex Structure ◽  
Posterior Vitreous Detachment ◽  
Vitreous Body ◽  
Complete Removal ◽  
Intravitreal Injections ◽  
The World

Background. The avalanche-like growth of intravitreal injections in the world has significantly increased interest in the hemodynamics of the processes that occur in the eye when a drug is injected into the vitreous cavity. Every year, the number of intravitreally used drugs and promising areas in which they can be used is growing. This also applies to the creation of new combined medicines and the development of drugs with a long-term therapeutic effect. Aims. Create mathematical model of eyeball to evaluate the movement of the drug substance in it; to estimate the time of the drug's presence in the eye cavity before its complete removal, to characterize the ways of its removal from the eye cavity; to assess the significance of posterior vitreous detachment during the time when the drug is present in the eye cavity; to evaluate the effect on the hydrodynamics of the depth of drug administration. Results. When the drug is administered closer to the center of the eyeball, its residence time increases in comparison with the parietal administration. With a complete posterior detachment of the vitreous body, the time of finding the drug in the eye is prolonged compared to its absence. The obtained results of mathematical modeling of the movement of the drug administered intravitreally cannot be mechanically transferred to the human eye, due to the more complex structure of the latter. Key words: intravitreal injections, vitreous body, mathematic computing.

MATHEMATICAL MODELING OF CONCRETE STRUCTURE CORROSION IN BIOLOGICALLY AGGRESSIVE ENVIRONMENTS

2021 ◽  
Vol 3 (102) ◽  
pp. 55-67
Author(s):  
VARVARA E. RUMYANTSEVA ◽  
SVETLANA A. LOGINOVA ◽  
NATALIA E. KARTSEVA
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Mass Transfer ◽  
Parabolic Type ◽  
Cement Concrete ◽  
Mass Conductivity ◽  
Kinetics And Dynamics ◽  
Biological Corrosion ◽  
First Time ◽  
Fourth Kind

In the aquatic environment, biocorrosion is an important factor affecting the reliability and durability of concrete structures. The destruction of cement concretes during biological corrosion is determined by the processes of mass transfer. The article presents the development of a calculated mathematical model of liquid corrosion in cement concrete, taking into account the biogenic factor. For the first time, a model of mass transfer in an unbounded two-layer plate is considered in the form of differential equations of parabolic type in partial derivatives with boundary conditions of the second kind at the interface between concrete and liquid and of the fourth kind at the interface between concrete and biofilm. The results of a numerical experiment are presented to study the influence of the coefficients of mass conductivity and mass transfer on the kinetics and dynamics of the process.

Methods of Mathematical Modeling of the Leaching Process of Cobalt-Containing Solutions

2021 ◽  
Vol 316 ◽  
pp. 661-666
Author(s):  
Nataliya V. Mokrova
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Chemical Kinetics ◽  
Group Method ◽  
Data Handling ◽  
Multistage Processes ◽  
Leaching Process ◽  
Proposed Model ◽  
Simulation Results ◽  
The Mathematical Model

Current cobalt processing practices are described. This article discusses the advantages of the group argument accounting method for mathematical modeling of the leaching process of cobalt solutions. Identification of the mathematical model of the cascade of reactors of cobalt-producing is presented. Group method of data handling is allowing: to eliminate the need to calculate quantities of chemical kinetics; to get the opportunity to take into account the results of mixed experiments; to exclude the influence of random interference on the simulation results. The proposed model confirms the capabilities of the group method of data handling for describing multistage processes.

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