Selection of Airspace Structure and Aerodrome Infrastructure During Their Modernization by Methods of Mathematical Modeling

2021 ◽  
Vol 60 (6) ◽  
pp. 918-955
Author(s):  
L. V. Vishnyakova ◽  
A. S. Popov
Keyword(s):  
Mathematical Modeling ◽  
Selection Of

scholarly journals Exploring young students creativity: the effect of model eliciting activities

2014 ◽  
Vol 8 (2) ◽  
pp. 51-59
Author(s):  
Talya Gilat ◽  
Miriam Amit
Keyword(s):  
Mathematical Modeling ◽  
Creative Thinking ◽  
Real Life ◽  
Model Eliciting Activities ◽  
Thinking Processes ◽  
Young Students ◽  
Selection Of

The aim of this paper is to show how engaging students in real-life mathematical situations can stimulate their mathematical creative thinking. We analyzed the mathematical modeling of two girls, aged 10 and 13 years, as they worked on an authentic task involving the selection of a track team. The girls displayed several modeling cycles that revealed their thinking processes, as well as cognitive and affective features that may serve as the foundation for a methodology that uses model-eliciting activities to promote the mathematical creative process.Exploración de la creatividad de jóvenes estudiantes: el efecto de actividades que suscitan modelosEl objetivo de este artículo es mostrar cómo involucrar a los estudiantes en situaciones matemáticas de la vida real puede estimular su pensamiento matemático creativo. Analizamos la modelización matemática de dos chicas, de 10 y 13 años, cuando trabajaban en una tarea auténtica que involucraba la selección de un equipo de atletismo. Las chicas mostraron varios ciclos de modelización que revelaron sus procesos de pensamiento, así como las características cognitivas y afectivas que pueden servir como fundamento para una metodología que usa actividades que suscitan modelos para promover los procesos matemáticos creativos.Handle: http://hdl.handle.net/10481/29578Nº de citas en SCOPUS (2017): 1 (Citas de 2º orden, 0)

The Optimization of Mechanized Earthwork Processes

2016 ◽  
Vol 820 ◽  
pp. 96-101 ◽  
Author(s):  
Lucia Paulovičová
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Models ◽  
Decision Maker ◽  
Multicriteria Optimization ◽  
Optimization Process ◽  
Multicriteria Method ◽  
Wise Decision ◽  
The Right ◽  
The Cost ◽  
Selection Of

Earthwork processes are the most costly and time consuming component of construction these days and they are characterized by a powerful heavy mechanization which participate on the earthwork process. Current pressure for minimize the cost and maximize the productivity highlights the need to optimize earthworks. In this paper, the optimization process in the area of earthwork processes is described. The selection of the right types of machines for earthwork and its implements has become very difficult these days because of availability of variety of machines models and therefore a multicriteria method is presented to tackle the problem. This paper describes methodology for optimizing the earthwork process according to the selected optimal criteria. The methodology is focused on the proposal phase of optimization where the decision maker has to make a decision and choose the right type of excavators. To overcome the problem of comparing the chosen machines a mathematical modeling approach leading to multicriteria optimization was adopted to make the step wise decision. The methodology gives an mathematical models by which we can solve this problem.

scholarly journals APPROXIMATION OF THE WORKSPACE OF PARALLEL AND SERIAL STRUC-TURE MANIPULATORS AS PART OF THE MULTI-ROBOT SYSTEM

2019 ◽  
pp. 121-128 ◽  
Author(s):  
Л. Рыбак ◽  
L. Rybak ◽  
Д.И. Малышев ◽  
D.I. Malyshev ◽  
Л. Бехера ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Software Package ◽  
Robotic System ◽  
Geometric Parameters ◽  
Parallel Structure ◽  
Robot System ◽  
C Language ◽  
Computational Problem ◽  
Different Dimensions ◽  
Selection Of

The article describes the application of optimization algorithms for solving the problem of determining the workspace of robots as a serial and parallel structure based on the tripod. The method of approximating the set of solutions of nonlinear inequalities system describing constraints on the geometric parameters of the robot and based on the concept of non-uniform coverings is considered. The internal approximations defined as a set of parallelepipeds are obtained on the basis of the method. The influence of various geometric parameters on the volume of the workspace of the robot is analyzed. To approximate the workspace, the developed algorithm and its modifications with different dimensions of parallelepipeds and approaches to the transfer of constraints from the space of input to the space of output coordinates due to the complexity of the computational problem are used. A software package in the C ++ language is developed to implement the algorithms. The results of mathematical modeling are presented. Various dimensions of the grid to calculate the functions, as well as the accuracy of the approximation are experimentally conducted. The obtained results can be used in the selection of geometric parameters of robots, which determine their limitations when moving as part of a multi-robotic system.

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 The Influence of Machinery and Equipment Degradation on Their Depreciation

2020 ◽  
pp. 34-50
Author(s):  
Sergey A. Smolyak
Keyword(s):  
Mathematical Modeling ◽  
Linear Model ◽  
Financial Statements ◽  
Fair Value ◽  
Economic Benefits ◽  
Suitable Method ◽  
Operating Costs ◽  
Operational Characteristics ◽  
Numerous Data ◽  
Selection Of

The preparation of financial statements in accordance with IFRS involves the choice of such methods of depreciation for assets that are supposed to reflect most accurately the expected pattern of consumption of future economic benefits from the use of assets. However, in relation to machinery and equipment items this requirement is difficult to implement, since it is not clear how to understand and measure the economic benefits associated with such assets and the pattern of their consumption. In our opinion, the consumption of future economic benefits from the use of an asset is reflected in its fair value, and the depreciation of an asset over a period of time expresses a decrease in the fair value of the asset in that period. Having regard to this position, it is necessary to be be choosing such a depreciation method which affords the best correspondence between the carrying amount of assets and their fair values. We show that the often used linear depreciation method does not satisfy this requirement even for an asset that generates equal annual benefits from year to year. The article is devoted to the selection of the most suitable method of depreciation for machinery and equipment items. In our opinion, it is necessary to take into account the dynamics of their degradation processes (deterioration of operational characteristics). In this regard, we provide numerous data on a decrease in productivity and an increase in operating costs with age for various machinery and equipment categories. The analysis of such data allows us to offer a simple linear model of machine impair­ment/de­gradation, as well as a depreciation method based on it. This method turns out to resemble the sum of the years’ digits method and can be considered as a generalization of such a method. Its applicability to measuring the depreciation of real machinery and equipment items is confirmed by the results of economic and mathematical modeling and experimental estimates.

Sign in / Sign up

Export Citation Format

Share Document