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Journal articles on the topic 'The method of mathematical planning of the experiment'

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Published: 2 June 2025
Last updated: 31 July 2025

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1

Akberdin, A. A., A. S. Kim, and R. B. Sultangaziev. "Planning of numerical and physical experiment in simulation of technological processes." Izvestiya Visshikh Uchebnykh Zavedenii. Chernaya Metallurgiya = Izvestiya. Ferrous Metallurgy 61, no. 9 (2018): 737–42. http://dx.doi.org/10.17073/0368-0797-2019-9-737-742.

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Technological processes are multifactorial. The choice of the most significant of them for the correct analysis of the object of research is an important task. For such a ranking of factors, researchers usually rely on their own experience or the opinions of specialists in this field, assessing their consistency in terms of mathematical criteria. However, when developing a new process, this approach can not be used. In this case, experimental methods of selecting factors are preferable. But the cost, duration, and sometimes impossibility of using this method is obvious. In this paper we use a
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2

Perfilev, P. "Mathematical methods of experiment planning fusion of contemporary rafts." Актуальные направления научных исследований XXI века: теория и практика 3, no. 2 (2015): 280–84. http://dx.doi.org/10.12737/11091.

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3

Koshevoy, N. D., and O. T. Pylypenko. "APPLICATION OF THE BACTERIAL OPTIMIZATION METHOD TO MINIMIZE THE COST OF CONDUCTING A MULTIFACTOR EXPERIMENT." Collection of scientific works of the Military Institute of Kyiv National Taras Shevchenko University, no. 72 (2021): 25–31. http://dx.doi.org/10.17721/2519-481x/2021/72-04.

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Experiment planning allows you to get a mathematical model in a time and resource restricted conditions. When conducting experimental research in industry, methods of optimizing production processes are used. The order of the levels’ alternation of production processes’ change has a strong influence on the time of the experiment. Most often, experiments are multifactorial and associated with the search for optimal conditions for the experiment, the selection of the most rational equipment. At the same time, there is an urgent need to improve the efficiency of experimental research. There are m
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4

Kapustin, F. L., S. N. Pogorelov, and A. O. Kolmogorova. "Proportioning of steel fiber concrete tailored composition using the method of mathematical experiment planning." E3S Web of Conferences 474 (2024): 01056. http://dx.doi.org/10.1051/e3sconf/202447401056.

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Suggested proportioning of steel fiber concrete tailored composition can be made by using the method of mathematical experiment planning. A wide variety of types of fiber, the size and aggregate grain-size distribution, the number and characteristics of cement, and the need to obtain concrete mixes of different fluidity are used in the production of fiber reinforced materials. That is why it is impossible to develop a proportioning standard method. Thereby it is suggested to conduct an experiment of proportioning of steel fiber concrete tailored composition using the method of mathematical exp
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Prishchenko, Olga, and Tetyana Chernogor. "CONSTRUCTION OF STATISTICAL MODELS OF CHEMICAL AND TECHNOLOGICAL OBJECTS ON THE BASIS OF A COMPLETE FACTOR EXPERIMENT." Bulletin of the National Technical University "KhPI". Series: Innovation researches in students’ scientific work, no. 1 (August 30, 2023): 32–38. http://dx.doi.org/10.20998/2220-4784.2023.01.04.

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The article deals with the construction of a mathematical model of the process, which is created based on the results of a full factorial experiment. Often, only the results of experimental studies carried out at such objects are the information, based on the processing of which, according to the obtained mathematical model of the object, a high-quality control algorithm for this object can be implemented. At the same time, the construction of a mathematical model that describes the technological process with the required accuracy often involves a huge amount of work at the stage of experiment
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Koshevoy, N., E. Kostenko, and V. Muratov. "APPLICATION OF THE JUMPING FROGS METHOD FOR THE OPTIMIZATION OF THREE-LEVEL PLANS OF A MULTIPLE FACTOR EXPERIMENT." Collection of scientific works of the Military Institute of Kyiv National Taras Shevchenko University, no. 66 (2019): 35–42. http://dx.doi.org/10.17721/2519-481x/2020/66-04.

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he planning of the experiment allows us to solve the problem of obtaining a mathematical model with minimal cost and time costs. The cost of implementing an experiment is significantly affected by the order of alternating levels of change in factors. Thus, it is required to find a procedure for the implementation of experiments that provides the minimum cost (time) for conducting a multivariate experiment. This task becomes especially relevant when studying long and expensive processes. The purpose of this article is the further development of the methodology of optimal planning of the experim
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7

Zhuravlev, G. M., A. E. Gvozdev, S. V. Sapozhnikov, S. N. Kutepov, and E. V. Ageev. "DECISIONS ON STATISTICAL MODELS IN QUALITY CONTROL OF PRODUCTS." Proceedings of the Southwest State University 21, no. 5 (2017): 78–92. http://dx.doi.org/10.21869/2223-1560-2017-21-5-78-92.

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Development of methods for registration, description and analysis of statistical experimental data, obtained by monitoring mass random phenomena is the subject of a special science - mathematical statistics. All tasks of mathematical statistics concerns the treatment of observations of mass random phenomena, but depending on the nature of the solved practical question and amount of available experimental material these tasks can take a particular form. One of the main objectives of mathematical statistics is to develop methods of studying mass phenomena or processes on the basis of the relativ
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8

Bakenova, A. A., D. G. Kuanysheva, I. V. Plotnikova, L. A. Redko, and M. N. Yanushevskaya. "Study of the Factors That Have the Greatest Impact on the Quality of the Object Based on the Planning of the Experiment." Quality & Life 30, no. 2 (2021): 25–30. http://dx.doi.org/10.34214/2312-5209-2021-30-2-25-30.

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This article discusses the application of the method of planning an experiment to determine the factors that affect the quality of an object using the example of preparing a culinary product. A fractional factorial experiment was applied, insignificant factors were identified, a mathematical model was drawn up and its adequacy was checked. This experiment made it possible to change all factors simultaneously and to minimize the number of experiments.
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9

МAMYRBEKOVA, А. К., А. D. МAMITOVA, А. К. МAMYRBEKOVA, and М. К. КASSYMOVA. "APPLICATION OF THE METHOD MATHEMATICAL PLANNING EXPERIMENT IN THE PROCESS OF ACTIVATION PEACH SHELLS." Q A Iasaýı atyndaǵy Halyqaralyq qazaq-túrіk ýnıversıtetіnіń habarlary (fızıka matematıka ınformatıka serııasy), no. 1 (March 15, 2022): 27–42. http://dx.doi.org/10.47526/2022-1/2524-0080.03.

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For quantitative assessment of influence certain factors on the activation process of peach shells, for obtaining its mathematical model, as well as factors definition at which a developed porous structure is achieved, the method of planning and statistical processing experiment was used in the work. The use of effective methods for regulating the porous structure of activated carbon sorbent suggests that it is possible and economically feasible to use them as adsorbents for the treatment of natural and wastewater and gas emissions. The Box-Wilson experimental-statistical method of planning ex
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10

Popov, S., S. Shumykin, and Н. Laptieva. "Mathematical simulation of welded deposit layers as for adaptation of materials to failure in quasidissipative tribosystems." Innovative Materials and Technologies in Metallurgy and Mechanical Engineering, no. 2 (March 18, 2021): 82–87. http://dx.doi.org/10.15588/1607-6885-2020-2-11.

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Purpose. To establish mathematical models for the adaptation of materials under conditions of activation of a metastable structural-phase state of quasi-dissipative tribosystems. Determination and substantiation of factors for planning an active experiment due to which it is possible to create mathematical models of stable forecasts for increasing the wear resistance of materials. Research methods. When conducting the experiments, a priori data were used in combination with our own scientific developments of mathematical models of the dependences of the influence of the chemical composition of
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11

Rikhsibayevna, Tadjibayeva Mahmuda, Ziyadullaeva Kamola Khaitboevna, Akhmedova Farzona Uktamovna, and Karimov Rikhsibai Kuchkarovich. "OPTIMISATION OF THE PROCESS OF PREPARATION OF ACETYLSALICYLIC ACID COMPLEX WITH GLYCYRRHIZIC ACID." American Journal of Engineering and Technology 6, no. 9 (2024): 111–15. http://dx.doi.org/10.37547/tajet/volume06issue09-13.

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The process of preparation of acetylsalicylic acid complex with glycyrrhizic acid has been developed. Also, the optimal parameter conditions were found by the method of mathematical planning. The results of the quantitative assessment of the contribution of each of the factors selected as one of the tasks of process optimization by the method of mathematical planning of the experiment were analyzed.
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12

Babich, Yevgeny Mikhailovich, Vlаdymir Yevgenyevich Babich, and Yelena Yevgenyevna Polianovska. "RESEARCH OF COHESION OF REINFORCEMENT WITH CONCRETE BY THE METHOD OF MATHEMATICAL EXPERIMENT PLANNING." Вестник Белорусско-Российского университета, no. 4 (2014): 136–46. http://dx.doi.org/10.53078/20778481_2014_4_136.

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13

Kuznetsov, A. A., A. S. Bryukhova, and N. V. Volkova. "Application of Experiment Planning Methods in Researching of Reinforced Concrete Constructions Corrosion Process." Materials Science Forum 992 (May 2020): 857–62. http://dx.doi.org/10.4028/www.scientific.net/msf.992.857.

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The article discusses statistical methods of experiment planning for determining the significance of influencing factors on the course of the corrosion process. The application of the proposed method in conjunction with spectral monitoring methods is shown. Mathematical models are presented that allow to investigate the corrosion process with various combinations of influencing factors. The response surface of the dependent variable on the most significant factors is constructed. The conclusion is made that spectral methods can be used to determine the corrosion state of reinforced concrete st
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14

Борко, Є. А., І. В. Ковалевська, О. А. Рубан, and О. В. Кутова. "Development and optimization of quantitative composition of rectal suppositories with diosmin and hesperidin by the method of mathematical planning of the experiment." Farmatsevtychnyi zhurnal, no. 1 (February 23, 2022): 74–85. http://dx.doi.org/10.32352/0367-3057.1.22.07.

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In the development of suppositories biphasic media are rarely used. It is due to the occurrence of possible instabilities within the system «dispersed phase and a dispersing medium». To solve such problems, it is rational to use the methods of mathematical planning of the experiment. The method of mathematical planning of the experiment feature is the diversity of approaches to model construction. This means that these methods are theoretically predict the results of a future experiment, analyze the data obtained, prevent the repetition of experiments and optimize the technology of medicine.&#
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15

Rusakova, G., N. Lebed’, S. Tronev, and E. Parakhnevich. "MATHEMATICAL MODELING OF AUTOMATED BOILER DRYERS." IZVESTIA VOLGOGRAD STATE TECHNICAL UNIVERSITY, no. 3(238) (April 21, 2020): 82–85. http://dx.doi.org/10.35211/1990-5297-2020-3-238-82-85.

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The work presents a structural scheme and the principle of operation of an automated fluidized bed dryer. Studies of the proposed dryer were carried out by the method of planning the experiment, which allows to determine the optimal values of the parameters that affect the quality of the finished dried product (mustard cake) - residual moisture content,%. To study the optimum region, the Rechtschafner plan was implemented for a 3-factor experiment. Based on the regression equations and two-dimensional cross-sections of the response surfaces, the optimal values of the structural-operational par
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16

Katin, Viktor, Vladimir Kosygin, and Midkhat Akhtiamov. "Selecting optimal structure of burners for tubular cylindrical furnaces by the mathematical experiment planning method." IOP Conference Series: Earth and Environmental Science 90 (October 2017): 012044. http://dx.doi.org/10.1088/1755-1315/90/1/012044.

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17

Boyko, Galina, Hanna Tikhosova, and Tatiana Ternova. "OPTIMIZATION OF THE DECORTICATION PROCESS OF INDUSTRIAL HEMP STEMS BY MATHEMATICAL PLANNING METHOD." INMATEH Agricultural Engineering 60, no. 1 (2020): 53–60. http://dx.doi.org/10.35633/inmateh-60-06.

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The paper presents the results of theoretical and experimental studies aimed at optimizing the decortication process of industrial hemp stems. In order to achieve this goal, physical and mechanical properties of industrial hemp straw stems were investigated, with the choice of the main quality indicator - diameter, which directly influences the bast output. Also, with the help of mathematical planning of the experiment, the optimal treatment mode for the stems of industrial hemp with clearing of wood of 5-6% was calculated.
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18

Postnikova, Marina, Evgeniy Mikhailov, Serhii Kvitka, et al. "The Grain Cleaning Production Lines’ Energysaving Operation Modes of Electromechanical Systems." Agricultural Engineering 26, no. 1 (2022): 51–64. http://dx.doi.org/10.2478/agriceng-2022-0005.

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Abstract The research was aimed at reducing the power consumption for grain cleaning by using energy-saving modes in the electromechanical systems of grain cleaning units. Specific consumption of active energy per production unit was adopted as a criterion for assessing energy-saving operation modes. The applied method of mathematical experiment planning (MEP) reduced the number of experiments to a minimum to obtain a reliable mathematical model of the research object. To determine the optimal specific power consumption, a theoretical method was developed to rebuild the mathematical model. Thu
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19

Koshevoy, N. D., and A. V. Malkova. "TWO-PARAMETER OPTIMIZATION OF THE EXPERIMENTAL PLAN WHEN STUDYING THE ROUGHNESS OF THE SILICON SURFACE DURING DEEP PLASMA-CHEMICAL ETCHING OF MEMS ELEMENTS." Collection of scientific works of the Military Institute of Kyiv National Taras Shevchenko University, no. 71 (2021): 31–36. http://dx.doi.org/10.17721/2519-481x/2021/71-04.

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In science and technology, the need for the rational use of the labor of scientists and engineers, as well as the means of production - technical equipment and materials - is growing more and more. One of the ways to increase the productivity of scientific work is the use of advanced mathematical methods and computational tools. These methods include experiment planning. Its high-quality and optimal implementation allows us to successfully solve scientific, production and technological problems. Currently, various planning methods are widely used in research. The planning of an experiment invo
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20

Krupko, Olena. "Research of CdS/L-cystein colloid solutions using the method of mathematical planning." Physics and Chemistry of Solid State 25, no. 1 (2024): 45–50. http://dx.doi.org/10.15330/pcss.25.1.45-50.

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In the work, the additive effect of the content of crystal-forming ions Сd2+ and S2- and the stabilizer L-Cys using the method of mathematical planning of the experiment on the process of formation of CdS/L-Cys nanoparticles in potentially oxidizing conditions (without deaeration of precursor solutions) and the optical properties of colloidal solutions were investigated. obtained under conditions of pH = 7 and temperature of 220C. By statistical processing of the results, equations were obtained and diagrams of concentration dependences of the wavelength of the optical absorption edge of collo
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21

Zakhara, Ihor, and Fedir Kozak. "MATHEMATICAL MODEL FOR THERMAL CALCULATION OF VEHICLE DISC BRAKES ON 1ST TYPE TESTS." Sworld-Us Conference proceedings, usc21-01 (November 30, 2023): 33–38. http://dx.doi.org/10.30888/2709-2267.2023-21-01-004.

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The article presents the bases of thermal processes mathematical modeling in vehicle disc brakes that in combination with the experiment planning method allowed a complex approach to their thermal calculation.
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22

Lesnichenko, E. N., N. V. Chernysheva, M. Yu Drebezgova, E. V. Kovalenko, and A. L. Bocharnikov. "DEVELOPMENT OF A MULTICOMPONENT GYPSUM CEMENT BINDER USING THE METHOD OF MATHEMATICAL PLANNING OF THE EXPERIMENT." Construction Materials and Products 5, no. 2 (2022): 5–12. http://dx.doi.org/10.58224/2618-7183-2022-5-2-5-12.

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23

Shalyapina, A. D., D. V. Shalyapin, D. L. Bakirov, M. M. Fattahov, E. V. Babushkin, and V. G. Kuznetsov. "Developing stabilizing clay-mudstone bath by planning an experiment using the Box — Behnken method." Oil and Gas Studies, no. 2 (June 11, 2021): 66–77. http://dx.doi.org/10.31660/0445-0108-2021-2-66-77.

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The actual scientific and production task is the prevention of loss wellbore stability for West Siberia companies. The process of well drilling in clay intervals is consisting of many additional actions for stabilization wellbore. There is analysis of wells with problems due to caving and falling in this article. It was allowed to determine that almost 50 % of drilling time is non-production time, which connects with clay warping. The design of new inhibitory bath compound is necessary to avoid loss wellbore stability. It was applied Box-Behnken method for planning of experiment and for a math
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24

Abdullabekova, V. N., V. R. Khaydarov, S. T. Sharipova, O. R. Rakhimova, and A. J. Tajieva. "Using the method of mathematical planning of the experiment in the development of a quality control method of aerva lanata l. herb." CARDIOMETRY, no. 22 (May 25, 2022): 108–17. http://dx.doi.org/10.18137/cardiometry.2022.22.108117.

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Today, among the urgent tasks facing the pharmaceutical science of the Republic of Uzbekistan is the study of introduced medicinal plants. Of the promising plants Erva woolly - Aerva lanata Juss of the amaranth family (Amaranthaceae) deserves special attention. A perennial or biennial herbaceous plant grows in many countries of Africa, Saudi Arabia, India, Indonesia, etc. For the first time, Aerva lanata Juss. was introduced on the territory of the former USSR by the Transcaucasian zonal experimental station VILR (Kobuletti) in the mid-70s, then in Ukraine, Uzbekistan and Kazakhstan. Aerva lan
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25

Guseinova, Elvira A., and Gakhraman S. Hasanov. "Determining the optimal parameters of hydrostabilization process of pyro-condensate in the presence of a nickel-chrome catalyst with the method of mathematical statistics." Physics and Chemistry of Solid State 25, no. 2 (2024): 333–37. http://dx.doi.org/10.15330/pcss.25.2.333-337.

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The aim of the work was to obtain mathematical static estimates of the influence of various factors on the degree of hydrostabilization of pyrocondensate obtained during the pyrolysis of straight-run gasoline, and an attempt to determine the most optimal process mode. The experimental data obtained earlier made it possible to determine the temperature range, duration, volume of the catalyst, and the ratio of hydrogen to feedstock necessary for the effective hydrostabilization of the pyrocondensate, which made it possible to narrow the range of variation of the process parameters. At the same t
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26

Guketlov, Khazret, and Islam Tatarov. "Method for determining the transmission of a garret window from a direct sun component." E3S Web of Conferences 281 (2021): 04004. http://dx.doi.org/10.1051/e3sconf/202128104004.

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Based on the experimental studies using the method of physical modeling under an artificial horizon NIISPh Moscow and the method of mathematical planning of the experiment, an analytical dependence of the light transmission coefficient on the direct component of sunlight, which characterizes the relationship between the height of the sun, geometric and lighting parameters of point skylights, was obtained.
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Grebneva, Oksana A. "Study of the measurements placement problem for planning of the optimal experiment." E3S Web of Conferences 102 (2019): 03006. http://dx.doi.org/10.1051/e3sconf/201910203006.

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Both in Russia and abroad, there are works that are devoted to the problem of optimal placement of measuring devices, which are evidenced by the current literature. The proposed methods are not universal, that does not allow them to be directly used for different types of pipeline systems. In addition, the developed algorithms does not guarantee a global solution. In this regard, there is a demand for solving the problem of optimal placement of measuring devices for pipeline systems. At the same time, not only the number and accuracy of measuring devices, but also their composition and placeme
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28

Vinichenko, V., A. Yershov, V. Ol'shanetskii, V. Volkov, and E. Ivanchenko. "STUDY OF THE POSSIBILITY OF INCREASING THE PLASTICITY OF TUNGSTEN WIRE AT NORMAL TEMPERATURES BY OPTIMIZING THE DRAWING TECHNOLOGY." New Materials and Technologies in Metallurgy and Mechanical Engineering, no. 4 (December 20, 2023): 32–39. http://dx.doi.org/10.15588/1607-6885-2023-4-5.

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Purpose. The development of a mathematical model for the process of drawing a tungsten-thorium wire for the analysis of the influence of technological factors of the specified process on the plasticity of the material and the recommendations on how to choose their optimal values, from the point of view reaching the plasticity of the wire at the maximum productivity of the wire drawing process.
 Research methods. The problem of creating a mathematical model for investigating the influnce of technological parameters into the process of drawing on the plasticity of a tungsten-thorium rod was
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29

Кошевой, Николай Дмитриевич, та Виктор Владимирович Муратов. "ПРИМЕНЕНИЕ АЛГОРИТМА ПРЫГАЮЩИХ ЛЯГУШЕК ДЛЯ ОПТИМИЗАЦИИ ПО СТОИМОСТНЫМ (ВРЕМЕННЫМ) ЗАТРАТАМ ПЛАНОВ ПОЛНОГО ФАКТОРНОГО ЭКСПЕРИМЕНТА". RADIOELECTRONIC AND COMPUTER SYSTEMS, № 4 (20 грудня 2018): 53–60. http://dx.doi.org/10.32620/reks.2018.4.05.

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The purpose of this article is to further develop the methodology for the optimal cost (time) costs of experiment planning, which includes a set of methods for optimizing experiment plans and software and hardware for their implementation. The object of study: the optimization processes for the cost-based plans of multivariate experiments. The subject of research: the cost-optimization method of experimental design plans, based on the use of shuffled frog-leaping method. Experimental research methods are increasingly used to optimize production processes. Planning an experiment allows you to g
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Wu, Jia Feng, Dong Gao, and Ying Xue Yao. "Automatic Positioning and Tool Path Planning of Ultra-Large-Scale Components." Key Engineering Materials 431-432 (March 2010): 277–80. http://dx.doi.org/10.4028/www.scientific.net/kem.431-432.277.

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A method for machining huge workpiece is proposed using coordinate transformation theory. The mathematical model of positioning is derived with nonlinear least square method and solved by iterative algorithm which is given by tangent plane iterative method. Then, initially generated tool paths are modified and optimized. The experiment demonstrates that this method for machining ultra-large-scale workpiece is feasible and correct. The proposed automatic positioning algorithm and tool path optimization method can be used to machine huge workpiece to improve accuracy and reduce cost.
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Leonid Dvorkin, Grzegorz Prokopski, Vitaliy Marchuk, and Andriy Huts. "THE USE OF MATHEMATICAL EXPERIMENTS PLANNING IN BUILDING MATERIALS QUALITY RESEARCH." Journal of Civil Engineering, Environment and Architecture 36, no. 66/4 (2020): 5–16. http://dx.doi.org/10.7862/rb.2019.19.

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The issue of ensuring the construction of materials and products, necessary quality characteristics and durability, is associated with the solution of many problems arising both in the construction industry enterprises and in the conditions of a construction site. Most of these (construction-technological) problems are solved due to the rational choice of raw materials, changes in the ratio between the main components, as well as production modes. The method of solving such problems assumes simultaneous consideration of many factors (composition, consumption of components, formation conditions
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Fukleva, L. A., О. О. Saliy, О. P. Bаulа, L. O. Puchkan, and О. V. Hrechana. "Methods of mathematical planning of the experiment and their use in the development of the composition of the ointment with essential oil thymus vulgaris l. For vaginal application." News of Pharmacy 107, no. 1 (2024): 74–79. http://dx.doi.org/10.24959/nphj.24.130.

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One of the most important pharmaceutical factors is excipients, their nature and quantity, which increase the pharmacological activity and safety of APIs by creating dosage forms that are optimal in composition, properties, and type, and/or by changing the chemical modification of the molecule responsible for the pharmacological effect of the active substance. Variability or variation in the number of excipients and the use of different excipients with the same intended functionality can complicate the release rate and bioavailability of drugs. The use of mathematical methods at the stage of t
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33

Niu, Xuelei, and Jianxin Xu. "Modeling, Control and Locomotion Planning of an Anguilliform Robotic Fish." Unmanned Systems 02, no. 04 (2014): 295–321. http://dx.doi.org/10.1142/s230138501440007x.

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In this paper, mathematical model, control law design, different locomotion patterns, and locomotion planning are presented for an Anguilliform robotic fish. The robotic fish, consisted of links and joints, are driven by torques applied to the joints. Considering kinematic constraints, Lagrangian formulation is used to obtain the mathematical model of the robotic fish. The model reveals the relation between motion of the fish and external forces. Computed torque control method is first applied, which can provide satisfactory tracking performance for reference joint angles. To deal with paramet
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34

Korobova, Ol’ga, Ljubov Maksimenko, and Dmitrii Grigor’ev. "Increasing accuracy and reliability of ground base settlement calculation." E3S Web of Conferences 91 (2019): 07003. http://dx.doi.org/10.1051/e3sconf/20199107003.

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The article presents the sequence of soil foundations for deformations calculation, taking into account their deformation anisotropy. The calculations were made by the finite element method using the experiment and its mathematical planning. It was found that one can use the numerical experiment results (coefficients tables of soil anisotropy) and calculate soil base sediment and layers of different thickness, using any of the existing methods after determining the index of the soil deformation anisotropy and authenticity, thereby increase their accuracy and reliability.
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Sychenko, Viktor G., and Dmytro V. Mironov. "Development of a mathematical model of the generalized diagnostic indicato on the basis of full factorial experiment." Archives of Transport 43, no. 3 (2017): 125–33. http://dx.doi.org/10.5604/01.3001.0010.4230.

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Purpose. The aim of this work is to develop a mathematical model of the generalized diagnostic indicator of the technical state of traction substations electrical equipment. Methodology. The main tenets of the experiment planning theory, methods of structural-functional and multi-factor analysis, methods of mathematical and numerical modeling have been used to solve the set tasks. Results. To obtain the mathematical model of the generalized diagnostic indicator, a full factorial experiment for DC circuit breaker have been conducted. The plan of the experiment and factors affecting the change o
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Koshevoy, Nicolay, Grygorii Cherepashchuk, Yevhen Kalashnikov, Oleksandr Zabolotnyi, and Vitalii Siroklyn. "Development, research and optimization of weight measuring system." Ukrainian Metrological Journal, no. 3 (October 5, 2021): 43–49. http://dx.doi.org/10.24027/2306-7039.3.2021.241640.

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The main task of the research is to improve technical and economic indicators of weight measuring system and to increase the efficiency of its research on the basis of cost-optimal planning of experiments.
 A system with a measuring tray has been developed, and it is different from existing systems with a possibility to control inclination angle of a tray, moisture content and temperature of a bulk substance, what provides better accuracy of mass measurement.
 The researches of weight measuring system were performed using the following methods of cost-optimal experiment planning: tab
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Швецова-Шиловская, Татьяна Николаевна, Ольга Васильевна Полехина, Дмитрий Евгеньевич Иванов, and Федор Игоревич Скворцов. "Planning an experiment in the study of air pollution in industrial premises." Вычислительные технологии, no. 3 (July 15, 2020): 152–59. http://dx.doi.org/10.25743/ict.2020.25.3.016.

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Отмечена роль ведущих отечественных ученых В.И. Денисова и В.Г. Горского в становлении и развитии теории планирования эксперимента и прикладных статистических методов анализа данных. На основе математической теории планирования эксперимента исследовано влияние параметров воздушной среды рабочих помещений на интенсивность испарения опасных химических веществ с поверхности пролива. Создана математическая модель, описывающая этот процесс. Данные исследования необходимы для оценки профессионального риска на химических производствах The article addresses the important problem of assessing the profe
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Konopatskiy, E. V., I. V. Seleznev, and A. A. Bezditnyi. "The use of interpolation methods for modelling multifactor processes based on an experiment planning matrix." Journal of Physics: Conference Series 2182, no. 1 (2022): 012005. http://dx.doi.org/10.1088/1742-6596/2182/1/012005.

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Abstract This article is dedicated to the development of experimental data processing tools based on the geometric theory of multidimensional interpolation. At the same time, a scientific problem was solved, which is dedicated to the analytical determination of models of multifactor processes while maintaining the existing approach to experiment planning This makes it possible not only to use interpolation methods for the mathematical description of new experiments, but also to use the experimental data obtained earlier to improve their mathematical interpretation. The paper provides two examp
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Leontiev, D. S., I. I. Kleschenko, A. V. Kustyshev, V. A. Dolgushin, M. D. Zavatski, and A. A. Ponomarev. "DEVELOPMENT AND RESEARCH OF THE WELL PLUGGINGMICROCEMENT-BASED COMPOSITION TO LIMIT AND ELIMINATE THE WATER INFLOWS INTO OIL AND GAS WELLS." Oil and Gas Studies, no. 4 (September 1, 2016): 62–72. http://dx.doi.org/10.31660/0445-0108-2016-4-62-72.

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The article discusses development of the backfill composition based on OTDV «Mikrodur». A method of mathematical planning of the experiment is described used to prove the optimal formulation of water isolation composition and the processing of the study results by application of the procedure of “full factorial experiment”. The results of the study by computer microtomography of the formed plugging stone are also presented.
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Bekchanov, Kh K., A. M. Usubbaev, and M. U. Usubbaev. "The Composition and Technology of Mumifer Tablets Optimized Using Methods of Mathematical Experiment Planning." Pharmaceutical Chemistry Journal 39, no. 5 (2005): 271–73. http://dx.doi.org/10.1007/s11094-005-0130-z.

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Turdibekov, Kamolbek, Absaid Sulliev, Oygul Iskandarova, and Javohir Boboqulov. "Experimental and statistical methods for studying the modes of electric power systems under conditions of uncertainty." E3S Web of Conferences 452 (2023): 04002. http://dx.doi.org/10.1051/e3sconf/202345204002.

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The issues of mathematical modeling of the modes of electric power systems in conditions of inhomogeneities such as time drift of the main indicators are considered. In conditions of incomplete knowledge of the mechanism of phenomena, mathematical modeling was carried out by experimental and statistical methods, namely: experiment planning was used.
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42

MOLDABAYEVA, G. ZH, G. M. EFFENDIYEV, N. S. BUKTUKOV, SH R. TUZELBAYEVA, Z. B. IMANSAKIPOVA, and A. N. AKHMETOV. "INFLUENCE OF THE CONCENTRATION OF POLYMER SOLUTIONS ON THE FILTRATION PROPERTIES OF RESERVOIRS." Neft i Gaz, no. 4 (August 30, 2023): 56–67. http://dx.doi.org/10.37878/2708-0080/2023-4.04.

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The article is devoted to determining the required concentration of the polymer solution that provides the maximum effect of well isolation, depending on the filtration characteristics of the medium. The study was conducted by an experimental method using the methodology of experiment planning. The theory of rational planning was used by varying two variables at five levels. The permeability of the medium and the concentration of the polymer solution were used as variables. Methods of mathematical statistics were used in the processing of the results.
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Yermukanova, Alma, Podobed Leonid, Stankevych Georgii, Saule Zhiyenbayeva, and Eva Mrkvicová. "Mathematical modelling and optimization of the granulation process of loose compound feed for broilers." Potravinarstvo Slovak Journal of Food Sciences 18 (January 9, 2024): 20–35. http://dx.doi.org/10.5219/1925.

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The article presents the results of studying the indicators of the crumbling of granules and the specific energy costs of experimental batches of granulated feed for broilers. The process of granulation of compound feed for broilers was studied using the statistical planning method of a multifactorial experiment using a granulation line, including a granulator press. The dependence of the crumbling of granules and the energy consumed on the selected factors has been established. The moisture content of the feed mixture W (%) and steam pressure P (MPa) were chosen to optimise the granulation pr
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Vasilenko, V. N., L. N. Frolova, A. A. Derkanosova, N. A. Mikhailova, A. A. Shhepkina, and A. M. Davydov. "Software of the extrusion process abnormally viscous fluids methods of experiment planning." Proceedings of the Voronezh State University of Engineering Technologies 80, no. 3 (2018): 37–42. http://dx.doi.org/10.20914/2310-1202-2018-3-37-42.

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Article is devoted to the results of modeling-a certain mathematical function that describes the behavior of the object of study, abstracting from the internal structure of the real substrate. Materials and Methods: discusses the construction of models of experimental dependencies extruding abnormally viscous fluids, includes the following stages: clarification, depending on the specific tasks optimized parameters (specific energy consumption in the extrusion process, the pressure in predatrice area, complex organoleptic quality score, etc.); the choice of factors determining the variability o
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Gorokhov, T. I., A. V. Erofeev, B. A. Bondarev, and A. O. Korneeva. "Implementation of the Mathematical Planning of an Experiment Method in Selecting Optimal Composite Material Based on Gypsum Binder Filled with Wood Filings." Russian Journal of Building Construction and Architecture, no. 2(58) (May 15, 2023): 34–40. http://dx.doi.org/10.36622/vstu.2023.2.58.004.

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Statement of the problem. The selection of composite material optimal composition is a complex task that can be solved using the method of mathematical planning of an experiment. The development of a new composite finishing building material based on a gypsum binder filled with wood filings is conditioned by the need to find ways to solve the problem of reducing the cost of finishing materials while maintaining their environmental friendliness and other operational parameters. Results. The article carried out the mathematical planning of an experiment on the selection of the optimal compositio
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Sang, Tongtong, Jinchao Xiao, Junfeng Xiong, Haoyun Xia, and Zhongze Wang. "Path Planning Method of Unmanned Surface Vehicles Formation Based on Improved A* Algorithm." Journal of Marine Science and Engineering 11, no. 1 (2023): 176. http://dx.doi.org/10.3390/jmse11010176.

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Unmanned surface vehicle (USV) formation is a hot topic of current research. Path planning is the core technology for USV formation. This paper focuses on a USV formation path planning problem considering kinetic constraints. Firstly, an improved A* algorithm is proposed to solve the point-to-point path planning of a USV considering kinetic constraints. In this algorithm, the yaw constraint is introduced on top of the position constraint to extend the state space of the USV to three dimensions, and the convergence speed is accelerated by building a heuristic map. The dynamics model of the USV
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Zawada, Anna, Iwona Przerada, Małgorzata Lubas, Maciej Sitarz, and Magdalena Leśniak. "Application of Statistical Methods in Predicting the Properties of Glass-Ceramic Materials Obtained from Inorganic Solid Waste." Materials 14, no. 10 (2021): 2651. http://dx.doi.org/10.3390/ma14102651.

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This paper uses mathematical methods as the basic tool at the stage of experiment planning. The importance of research programming applications was shown using the theory of experiments and the STATISTICA software. The method of experiment planning used in the case of studying the properties of a mixture, depending on its composition, features considerable complexity. The aim of the statistical analysis was to determine the influence of variable chemical composition of waste materials on selected properties of glass-ceramic materials. A statistical approach to multicomponent systems, such as c
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Bilous, O. A., T. P. Hovorun, K. V. Berladir, S. I. Vorobiov, and V. V. Simkulet. "Mathematical Modeling of the Mechanical Characteristic of the Activated PTFE-Matrix Using the Method of Planning the Experiment." Journal of Engineering Sciences 5, no. 1 (2018): C 1—C 5. http://dx.doi.org/10.21272/jes.2018.5(1).c1.

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Tsurkan, Oleh, Ruslan Horbatiuk, and Dmytro Prysiazhniuk. "PLANNING A MULTI-FACTOR EXPERIMENT FOR DETERMINING RATIONAL PARAMETERS OF THE VIBRATION MACHINE OPERATION." Vibrations in engineering and technology, no. 2(97) (August 27, 2020): 5–14. http://dx.doi.org/10.37128/2306-8744-2020-2-1.

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The approaches and methods of improving the quality and efficiency of agricultural machinery repair are of priority importance in Ukraine today. The tough competitive environment in the interstate and domestic market of technical services dictates its own terms. One of the promising research methods is the planning of an experiment in the optimization of multifactorial processes, such as vibration strengthening processing of agricultural machinery parts. The object of the research in this article was the technological process of finishing, cleaning and strengthening processing of parts of till
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Atamanyuk, Igor, Valerii Havrysh, Vitalii Nitsenko, et al. "Forecasting of Winter Wheat Yield: A Mathematical Model and Field Experiments." Agriculture 13, no. 1 (2022): 41. http://dx.doi.org/10.3390/agriculture13010041.

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An increase in world population requires growth in food production. Wheat is one of the major food crops, covering 21% of global food needs. The food supply issue necessitates reliable mathematical methods for predicting wheat yields. Crop yield information is necessary for agricultural management and strategic planning. Our mathematical model was developed based on a three-year field experiment in a semi-arid climate zone. Wheat yields ranged from 4310 to 6020 kg/ha. The novelty of this model is the inclusion of some stochastic data (weather and technological). The proposed method for wheat y
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