scholarly journals DYNAMIC MODEL OF A SOCIALLY RESPONSIBLE ENTERPRISE POTENTIAL

2018 ◽  
pp. 245-252
Author(s):  
Liudmyla Potrashkova

Introduction. Socially responsible measures, which are implemented by the enterprise, launch a complex chain of cause and effect links in the resource system of the enterprise. Therefore, to analyse the impact of such measures on the dynamics of enterprise resources, as well as to address the task of assessing the potential of a socially responsible enterprise, it is necessary to use dynamic models that will describe the specified chain of causal relationships. Purpose. The article aims to construct a model of the dynamics of characteristics of the resources of a socially responsible enterprise in the form of a system of differential equations, as well as to determine the possibility of using such a model for solving the task of assessing the potential of the enterprise. Result. In order to achieve this goal, a system of differential equations is developed. This system describes the dynamics of the characteristics of the resources of an environmentally responsible enterprise, which carries out projects to improve the ecological characteristics of its products and processes. An important feature of the proposed model is that it takes into account the causal chain of the impact of environmental measures on the dynamics of enterprise resources. On the one hand, environmental projects divert funds from projects to increase production capacity. On the other hand, due to the ecological responsibility of consumers, environmental projects positively influence the amount of specific profit per unit of production of the enterprise. Conclusions. The implementation of the proposed model for various variants of the values of controlled parameters allows us to find the set of Pareto-optimal values of the vector of the result indicators of the enterprise's activity. This set is a result of the evaluation of the potential of the analysed enterprise. The inclusion in the proposed model of the cause-effect chain of the impact of environmental measures on the dynamics of resources increases the accuracy of the assessment of the potential of a socially responsible enterprise.

Author(s):  
A.P. Bochkovskyi

Purpose: Elaborate stochastic models to comprehensive evaluation of occupational risks in “man - machine - environment” systems taking into account the random and dynamic nature of the impact on the employee of negative factors over time. Design/methodology/approach: Within study, the methods of probability theory and the theory of Markov processes - to find the limit distribution of the random process of dynamic impact on the employee of negative factors over time and obtain main rates against which the level of occupational risks within the "man - machine - environment" systems can be comprehensively evaluated; Erlang phases method, Laplace transform, difference equations theory, method of mathematical induction - to elaborate a method of analytical solution of the appropriate limit task for a system of differential equations in partial derivatives and appropriate limit conditions were used. Findings: A system of differential equations in partial derivatives and relevant limit conditions is derived, which allowed to identify the following main rates for comprehensive evaluation of occupational risks in systems "man - machine - environment": probability of excess the limit of the employee's accumulation of negative impact of the harmful production factor; probability of the employee’s injury of varying severity in a random time. An method to the solution the limit task for a system of differential equations, which allows to provide a lower bounds of the probability of a certain occupational danger occurrence was elaborated. Research limitations/implications: The elaborated approach to injury risk evaluation is designed to predict cases of non-severe injuries. At the same time, this approach allows to consider more severe cases too, but in this case the task will be more difficult. Practical implications: The use of the elaborated models allows to apply a systematic approach to the evaluation of occupational risks in enterprises and to increase the objectivity of the evaluation results by taking into account the real characteristics of the impact of negative factors on the employee over time. Originality/value: For the first time, a special subclass of Markov processes - Markov drift processes was proposed and substantiated for use to comprehensive evaluation of occupational risks in “man - machine - environment” systems.


2021 ◽  
Vol 3 (7 (111)) ◽  
pp. 59-67
Author(s):  
Volodymyr Statsenko ◽  
Oleksandr Burmistenkov ◽  
Tetiana Bila ◽  
Svitlana Demishonkova

The processes to form the compositions of loose materials in centrifugal mixers of continuous action have been considered. Based on the method of discrete elements, a mathematical model of the movement of particles in the rotor of the centrifugal mixer was built, taking into consideration their geometric and physical-mechanical parameters. To assess the extent of influence of these parameters on the nature of particle movement, a well-known mathematical model in the form of a system of differential equations was used, which was built on the basis of classical laws of mechanics. The process of mixing particles of two loose materials under different initial conditions of movement was modeled. The trajectories of individual particles along the bottom and side wall of the rotor were calculated. The results of the research reported here have established that the model built on the basis of the discrete element method makes it possible to improve the accuracy of determining the parameters of the movement of loose materials in the mixing zone. Calculations that involved this method show that the length of the particle trajectory is 2.9, and the movement time is 9 times greater than those calculated by the system of differential equations. The built and known mathematical models demonstrated the same nature of the distribution of components in the mixer. The value of the Pearson correlation coefficient between the calculated values of the coefficients of variation is 0.758. The best homogeneity is achieved by separating the flows of the mixture components and reducing the distance between their centers. The experimental study was carried out using a centrifugal mixer of continuous action with a conical rotor. Particle trajectories were constructed; it was established that the shape of the trajectory built by a discrete element method is closer to the experimental one. The results reported in this paper make it possible to predict the impact of the structural and technological parameters of the mixers of continuous action on the uniformity of the mixture


Author(s):  
Lev Velychko ◽  
Oksana Petruchenko ◽  
Oksana Tereshchuk ◽  
Roman Nanivskyi

In this scientific work, the team of authors presents a mathematical model for studying the dynamics of the motion of a projectile in the air, fired from cannon. One of the main problems of external ballistics is to determine the magnitude of the force of the air resistance to the movement of the projectile. Usually in studies, a discrete relationship between the magnitude of the force of resistance and projectile velocity has been established. However, to improve the accuracy of firing, it is necessary to determine the functional dependence of air resistance on projectile velocity, deterministic and non-deterministic factors. The authors, when processing the results of landfill studies, which are presented in the tables of firing, found that the magnitude of the force of air resistance to the movement of the projectile depends not only on its speed but also on acceleration Based on this, the functional dependence of the force of air resistance is described separately during the movement of the projectile with the following velocities: supersonic (stage I); subsonic - with negative acceleration (stage II); subsonic with positive acceleration (stage III). To determine the coefficients of functional dependences, it is proposed to use inverse dynamics problems. Boundary conditions were considered - the full horizontal range of the projectile, depending on the specific angle of impact, obtained from the results of landfill research and given in the firing tables. Under the condition of a certain functional dependence of the force of counter-air resistance, taking into account the weight of the projectile and the Carioles’ force, as a result of this work is obtained the system of differential equations, which describes the motion of the projectile in air. The initial conditions for the first stage were taken the initial velocity of the projectile and zero (original) coordinates; for the second stage - the value of the kinematic parameters of the projectile at a time when its speed became equal to the speed of sound in the air; for the third stage - the value of the kinematic parameters of the projectile at the time when its velocity began to increase. By solving the system of differential equations, using the appropriate software, can be determined the impact of projectile charge and air temperatures, atmospheric pressure, changes in projectile mass and its initial velocity on the kinematic parameters of projectile motion. In addition, it allows you to automate the process of determining the aiming angle (it is better to ask the gunners the correctness of this concept) depending on the firing range, taking into account the above factors. Also, in the work on the basis of the method proposed by the authors, the is carried out comparison of the kinematic parameters of the projectile with the results given in the firing tables. They indicate minor differences when shooting at short distances, but when shooting at long distances - these differences increase, as the results in the tables of shootings are quite approximate.


Author(s):  
Taras Boyko ◽  
Mariya Ruda

The article assesses the impact of wind power plants on the components of the environment, which are compartments of complex landscape systems, taking into account a number of their parameters. A list of impact categories has been made up, which represent the load on the environment; also, for each category, the relative contribution of harmful factors has been identified, taking into account possible scenarios for waste management. For all potential impacts, using the Eco-indicator methodology, ecological profiles have been built, which made it possible to obtain the values of ecological indexes (impacts) and eco-indicators, expressed in eco-points, characterizing the impact of the wind power plant under study. Mathematical modeling of the processes of influence of a separate wind power plant on the subsystems and layers of compartments was carried out, according to the results of which a system of differential equations has been obtained, the input data for which are individual indexes and eco-indicators, as well as statistical information on the functioning of the elements of the hierarchical structure of compartments of a complex landscape system. The structure graphs are formalized using the Kolmogorov system of differential equations. It is proposed to study the dynamics of the structure on the basis of solving a system of differential equations using the fourth-order numerical Runge – Kutta method. By solving the system of equations, it is possible to study (predict) the developmental stages of a complex landscape system in dynamic and stationary modes during the impact of the life cycle of wind turbines on the subsystems and layers of their compartments, in order to optimize human activities to ensure minimal environmental impact. It is proposed to use the presented algorithms as a mathematical support for a cyber-physical system for studying the states of complex landscape systems and assessing the impact of wind turbines on environmental components.   Keywords: cyber-physical system; renewable energy sources; complex landscape system; life cycle, ecosystem states; eco-points


2020 ◽  
Vol 19 (2) ◽  
pp. 13-21
Author(s):  
Olga Zyma ◽  
Ryszard Stefanski ◽  
Maria Golub

The article argues that modern media and public relations play a significant role in addressing environmental issues. It is shown that in order to create favorable conditions for the implementation of ecological PR, it is necessary to take into account the relations not only between the enterprises and their target audiences but also between the subjects of environmental PR. It is proved that carrying out environmental PR is possible with the use of РR-tools, which can be various, depending on measures, such as publications in mass media; events for journalists; environmental measures; social-environmental advertising. Based on generalized literature sources, it has been proved that modern market relations for the support of socially responsible businesses require the use of such aspects of motivation during environmental PR that shape the consumer with a caring attitude to the environment and their health. It is proved that along with the production of environmentally friendly products, the opposite phenomenon is observed – greenwashing. Therefore, examples of social responsibility of enterprises that carry out environmental PR and are responsible for ecological problems form social responsibility for environmental protection for all market participants.


Author(s):  
I. P. Koronaki ◽  
M. T. Nitsas

Nanofluids is a term to describe fluids engineered by dispersing nanometer-scale structures such as particles, tubes and fibers in base fluids. Nanofluids are viewed as effective means of enhancing heat and mass transfer and thus they can be implemented in many engineering applications. The present paper examines the two dimensional-steady state-natural convection during the buoyancy-induced flow of the incompressible Al2O3-water nanofluid along a vertical plate under two different scenarios: the uniform and non-uniform heated plate. Both dynamic and static models are proposed in the literature for the conductivity and viscosity of the nanofluids. Nevertheless, in this work, dynamic models for the nanofluids thermal conductivity and viscosity have been assumed so as the Brownian motion of the nanoparticles to be considered. The governing equations of continuity, momentum and energy are reduced to a system of two non-linear differential equations by means of introducing the Pohlhausen stream function, and are solved numerically with the Runge-Kutta method with the Prandtl number being the only parameter of the dimensionless differential equations. The results show that the convection heat transfer coefficient is enhanced due to the nanofluids and it increases further by augmenting the volume concentration of the nanoparticles. The results of the aforementioned analysis are validated with the Finite Difference Method (FDM) selecting the proper grid density for the field. In addition, the impact of the nanoparticle diameter and the type of the base fluid on maximizing heat transfer through free convection for the isothermal plate is investigated. Finally, the two ways of expressing the temperature of the plate are compared in terms of influencing the convection coefficient.


2014 ◽  
Vol 24 (2) ◽  
pp. 129-154 ◽  
Author(s):  
Tomasz Karol Nowak ◽  
Kazimierz Duzinkiewicz ◽  
Robert Piotrowski

Abstract This paper presents results concerning solutions of the fractional neutron point kinetics model for a nuclear reactor. Proposed model consists of a bilinear system of fractional and ordinary differential equations. Three methods to solve the model are presented and compared. The first one entails application of discrete Grünwald-Letnikov definition of the fractional derivative in the model. Second involves building an analog scheme in the FOMCON Toolbox in MATLAB environment. Third is the method proposed by Edwards. The impact of selected parameters on the model’s response was examined. The results for typical input were discussed and compared.


2020 ◽  
pp. 41-50
Author(s):  
Ph. S. Kartaev ◽  
I. D. Medvedev

The paper examines the impact of oil price shocks on inflation, as well as the impact of the choice of the monetary policy regime on the strength of this influence. We used dynamic models on panel data for the countries of the world for the period from 2000 to 2017. It is shown that mainly the impact of changes in oil prices on inflation is carried out through the channel of exchange rate. The paper demonstrates the influence of the transition to inflation targeting on the nature of the relationship between oil price shocks and inflation. This effect is asymmetrical: during periods of rising oil prices, inflation targeting reduces the effect of the transfer of oil prices, limiting negative effects of shock. During periods of decline in oil prices, this monetary policy regime, in contrast, contributes to a stronger transfer, helping to reduce inflation.


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