Mathematical modeling and design

2017 ◽  
Author(s):  
Кравченко ◽  
Igor Kravchenko
Keyword(s):  
Mathematical Modeling ◽  
Linear Programming ◽  
Mathematical Models ◽  
Detailed Analysis ◽  
Crop Production ◽  
Practical Importance ◽  
Mathematical Statistics ◽  
Agricultural Industry ◽  
Production Processes

In this education guidance general concepts of mathematical modeling and economic-mathematical in particular are considered, detailed analysis of step-by-step creation and the analysis of a number of the economic-mathematical models having the practical importance for forecasting and effective optimization of various production processes in crop production is given. In a theoretical part the generalized analysis and classification of the methods and models applied in a research of economic units and processes in agricultural industry is given further practical examples of development of mathematical models on the basis of methods of linear programming and mathematical statistics are given. The education guidance is intended for masters of the directions 35.04.04 – Agronomics and 35.04.03 – Agrochemistry and agrology, studying discipline "Mathematical modeling and designing".

scholarly journals Mathematical modeling in economics for selection of optimum investment solution

2021 ◽  
Vol 273 ◽  
pp. 08003
Author(s):  
Arthur Alukhanyan ◽  
Olga Panfilova
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Linear Programming ◽  
Mathematical Models ◽  
Programming Problem ◽  
Linear Programming Problem ◽  
Target Function ◽  
Investment Portfolio ◽  
Monetary Relations ◽  
Selection Of

This work is devoted to development of economic and mathematical models for selection of the optimum investment solution. Moreover, it states the basis for development of model examples and correction of the model considering the results obtained in the examples. In the work the problem is set for selection of the investment sources and objects, which is limited to the linear programming problem. The controlled variable and basic limitations simulating real credit and monetary relations are distinguished in the provided model. The discounted profit obtained from implementation of the optimum investment portfolio is considered as a target function. The economic and mathematical model presented in the article allows finding the optimum investment solution within the limits of the credit and monetary relations taking place both at the micro- and macroeconomic level.

scholarly journals Mathematical modeling skills development among students of universities of economics

2020 ◽  
Vol 9 (2) ◽  
pp. 254-257
Author(s):  
Sergey I. Makarov
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Models ◽  
Digital Economy ◽  
Educational Process ◽  
Skills Development ◽  
Systems Modeling ◽  
Present Stage ◽  
Teaching Aids ◽  
Electronic Teaching

This paper discusses approaches to economic and mathematical modeling skills development among students of universities of economics. The need for this competency among specialists in the digital economy is shown. The motivation of the student the future specialist in the digital economy in mastering the basic techniques of economic processes and systems modeling is outlined. The sections of the school course in mathematics are given, which are the basis for the development of these skills. Mathematical courses are examined; their study is considered to be the foundation for the development of the competence in economic processes modeling. The author describes the main types of mathematical models that are studied at the present stage at universities of economics and are widely used in the digital economy. The author also presents a classification of the models used in the educational process while studying mathematical courses. The main requirements for economic-mathematical models are discussed and substantiated. The author has listed necessary requirements for teachers of mathematical departments of universities. These requirements can help them to teach basic mathematics and its applied sections (e.g. mathematical modeling) to students successfully. The main conclusions and results of the study can be used in the practical work of teachers of mathematical departments at universities of economics when creating electronic teaching aids of economic and mathematical modeling and methods of their application in the educational process.

VISUAL REPETITION OF EDUCATIONAL INFORMATION AT SCHOOL AND UNIVERSITY

2019 ◽  
pp. 41-50
Author(s):  
О. V. Ivanova
Keyword(s):  
Undergraduate Students ◽  
Educational Material ◽  
Educational Process ◽  
Mathematical Statistics ◽  
Crossword Puzzle ◽  
Conceptual Apparatus ◽  
Knowledge Types ◽  
Educational Information

The article discusses one of the stages of the educational process with the use of modular visualization that is systematization and synthesis of educational material. Various forms of visual repetition when studying the discipline “Theory of Probability and Mathematical Statistics” for undergraduate students who study non-mathematical profiles are presented. The concept of modular visualization is revealed, all types of each of the presented forms of visual repetition are described: through the conceptual apparatus (types: crossword puzzle, mathematical dictation, work with definitions, classification of concepts), transformation of knowledge (types: reference summary, proof of theorems, work with formulas, dictionary knowledge), by means of large-modular supports (types: table, flowchart, graph-diagram). Examples of each type of visual repetition of educational information on the discipline “Theory of Probability and Mathematical Statistics” developed by SMART Notebook and HTML are given. The technology of constructing various forms of visual repetition is presented schematically.

To Understand the Informal (on the Book BY V. L. Tambovtsev “Economics of Informal Institutions”)

2015 ◽  
pp. 151-158
Author(s):  
A. Zaostrovtsev
Keyword(s):  
Social Psychology ◽  
Detailed Analysis ◽  
Human Behavior ◽  
Interdisciplinary Approach ◽  
Informal Institutions ◽  
Economic Thought ◽  
History Of ◽  
Original Classification

The review considers the first attempt in the history of Russian economic thought to give a detailed analysis of informal institutions (IF). It recognizes that in general it was successful: the reader gets acquainted with the original classification of institutions (including informal ones) and their genesis. According to the reviewer the best achievement of the author is his interdisciplinary approach to the study of problems and, moreover, his bias on the achievements of social psychology because the model of human behavior in the economic mainstream is rather primitive. The book makes evident that namely this model limits the ability of economists to analyze IF. The reviewer also shares the author’s position that in the analysis of the IF genesis the economists should highlight the uncertainty and reject economic determinism. Further discussion of IF is hardly possible without referring to this book.

Multi-Objective Fuzzy Linear Programming for Land Allocation under Different Crops in Bhagwanpur Distributary

2019 ◽  
Vol 6 (04) ◽  
Author(s):  
ASHUTOSH UPADHYAYA
Keyword(s):  
Linear Programming ◽  
Crop Production ◽  
Fuzzy Linear Programming ◽  
Programming Method ◽  
Command Area ◽  
Linear Programming Method ◽  
Net Return ◽  
Multi Objective ◽  
Labour Requirement ◽  
Canal Command Area

A study was undertaken in Bhagwanpur distributary of Vaishali Branch Canal in Gandak Canal Command Area, Bihar to optimally allocate land area under different crops (rice and maize in kharif, wheat, lentil, potato in rabi and green gram in summer) in such a manner that maximizes net return, maximizes crop production and minimizes labour requirement employing simplex linear programming method and Multi-Objective Fuzzy Linear Programming (MOFLP) method. Maximum net return, maximum agricultural production, and minimum labour required under defined constraints (including 10% affinity level of farmers to rice and wheat crops) as obtained employing Simplex method were ` 3.7 × 108, 5.06 × 107 Kg and 66,092 man-days, respectively, whereas Multi-Objective Fuzzy Linear Programming (MOFLP) method yielded compromised solution with net return, crop production and labour required as ` 2.4 × 108, 3.3 × 107Kg and 1,79,313 man-days, respectively. As the affinity level of farmers to rice and wheat crops increased from 10% to 40%, maximum net return and maximum production as obtained from simplex linear programming method and MOFLP followed a decreasing trend and minimum labour required followed an increasing trend. MOFLP may be considered as one of the best capable ways of providing a compromised solution, which can fulfill all the objectives at a time.

Powerfully nilpotent groups of rank 2 or small order

2020 ◽  
Vol 23 (4) ◽  
pp. 641-658
Author(s):  
Gunnar Traustason ◽  
James Williams
Keyword(s):  
Detailed Analysis ◽  
Special Kind ◽  
Nilpotent Groups ◽  
Nilpotency Class ◽  
Central Series ◽  
Rank 2 ◽  
Full Classification

AbstractIn this paper, we continue the study of powerfully nilpotent groups. These are powerful p-groups possessing a central series of a special kind. To each such group, one can attach a powerful nilpotency class that leads naturally to the notion of a powerful coclass and classification in terms of an ancestry tree. In this paper, we will give a full classification of powerfully nilpotent groups of rank 2. The classification will then be used to arrive at a precise formula for the number of powerfully nilpotent groups of rank 2 and order {p^{n}}. We will also give a detailed analysis of the ancestry tree for these groups. The second part of the paper is then devoted to a full classification of powerfully nilpotent groups of order up to {p^{6}}.

scholarly journals A comprehensive review of sucker rod pumps’ components, diagnostics, mathematical models, and common failures and mitigations

2021 ◽  
Author(s):  
Sherif Fakher ◽  
Abdelaziz Khlaifat ◽  
M. Enamul Hossain ◽  
Hashim Nameer
Keyword(s):  
Mathematical Models ◽  
Oil And Gas ◽  
Oil And Gas Industry ◽  
Gas Industry ◽  
Holistic View ◽  
Comprehensive Review ◽  
Artificial Lift ◽  
Sucker Rod ◽  
Sucker Rod Pump

AbstractIn many oil reservoirs worldwide, the downhole pressure does not have the ability to lift the produced fluids to the surface. In order to produce these fluids, pumps are used to artificially lift the fluids; this method is referred to as artificial lift. More than seventy percent of all currently producing oil wells are being produced by artificial lift methods. One of the most applied artificial lift methods is sucker rod pump. Sucker rod pumps are considered a well-established technology in the oil and gas industry and thus are easy to apply, very common worldwide, and low in capital and operational costs. Many advancements in technology have been applied to improve sucker rod pumps performance, applicability range, and diagnostics. With these advancements, it is important to be able to constantly provide an updated review and guide to the utilization of the sucker rod pumps. This research provides an updated comprehensive review of sucker rod pumps components, diagnostics methods, mathematical models, and common failures experienced in the field and how to prevent and mitigate these failures. Based on the review conducted, a new classification of all the methods that can fall under the sucker rod pump technology based on newly introduced sucker rod pump methods in the industry has been introduced. Several field cases studies from wells worldwide are also discussed in this research to highlight some of the main features of sucker rod pumps. Finally, the advantages and limitations of sucker rod pumps are mentioned based on the updated review. The findings of this study can help increase the understanding of the different sucker rod pumps and provide a holistic view of the beam rod pump and its properties and modeling.

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