The article highlights two approaches to solving the problem of the distribution of the incentive fund, one of which is based on the calculation of the cost of one point; the second one is based on elementary incentive payment in the system with weight indices. The latter approach makes it possible to single out a small number of clusters of successful personalities. Comparison of the considered approaches at the stage of their implementation allows us to draw the conclusion about the different aspirations of teachers in the performance assessment systems. A mathematical solution is proposed for the distribution of the incentive fund in the framework of the second approach. The proposed method allows dividing fund resources in an extremely short period of time.
Journal section: MATHEMATICAL MODELLING OF SOCIO-ECONOMIC PROCESSES AND SYSTEMS
In the last few years there has outlined a well-defined tendency to consider aviation security with regard to the optimal management of its level with the consistent solution of the identification, measurement, evaluation and decision-making problems. For this purpose aviation security is shown as a state related to the object’s under study defined parameters, the quantitative display of which in the dynamics of their changes under the influence of external and internal factors remains in acceptable limits in terms of the object’s operation. However, the environment is formed by the object’s safety equipment, which represent a definite list of technical and other functional elements, solving the problem of the internal and external factors countermeasure. If we consider the situation of counter-strategy as a pseudo field, the proposed model belongs to the class of boundary value problems described by partial differential equations. The problem has no analytical solution, and computational modeling is very limited by mathematical formalization’s issues. It is offered to use hybrid computer tools, which have undoubted advantages in this case.
The decision making is based on the objective preferences and starting from this position the incorporation of human preferences in complex systems is a contemporary trend in scientific investigations. In Complex system where a human participation is decisive for the final decision the human thinking, notions and preferences have cardinal significance and need analytical representation. Mathematical modeling of complex „human – process” systems and build mathematically well-founded control solution need analytical representation of quantitative information like preferences. This could be made by utility theory and stochastic approximation theory. The objective of the paper is to present a strict logical mathematical approach for modeling and estimation of human preferences as machine learning in the process of building of mathematical models of complex systems with human participation. The approach is demonstrated on a case study in the area of risk portfolios optimization and financial risk management with color noise. The objective of the paper is to present a mathematical approach for modeling and estimation of human preferences as machine learning in the process of building of mathematical models of complex systems with human participation.
Maritime industry is characterized by highly globalized structure and operations. Shipping companies apply various approaches for inter-industry cooperation and information exchange. Operational efficiency is strongly enhanced by improved communication and cooperation by all stakeholders and partners. The present article outlines the benefits of business process modeling approach to maritime operations. A conceptual model is proposed, identifying the main processes and benefits for efficient information exchange and cooperation between shipping companies.
A quasi two-dimensional mathematical model describing the process of forming the initial kinematic parameters of the fragmentation field was developed. It has been shown that the use of the continuous explosive initiation system allows for increasing the relative area of the target damage with up to 23% with varying degrees of damage.
In this paper a general structure of an administrative process development is proposed. A block diagram showing the logical dependencies in the development is also given and analyzed as well as the basic structures for the variants to implement the core element "task" in a an administrative processing. A concept for generalization in some of the administrative process stages is given as well as an approach to the most commonly executed internal procedure that is the approval one.
ILLUSTRATION OF MODEL CREATION ON EXAMPLE OF APPROXIMATIONS TO THE STEADY STATE CURRENT OF CHEMICAL CYCLIC PROCESSESpg(s) 159-162
An approach for creation of biophysically based models for the steady state current of cyclic processes is investigated. When the process (like chemical reactions) can be described by a system of linear ordinary differential equations, an analytic expression for its steady state exists. The analytic expression is especially simple for the current of single cycle processes. In biologic context, concentrations of many substances change in a very restricted (patho)physiological range. This allows neglecting some terms of the analytic expression and thus obtaining biophysically based models that are both simple and adequate for description of currents produced by enzymes, pumps or transporters. The approximations obtained could be reduced to the existing empirical models. A clear way of expanding a specific empirical model for obtaining the desired quality and range of validity is also represented. The described approach is general and can be useful for creating biophysically based models of other types of processes.
STOCHASTIC COMPUTER SIMULATION OF THE IONIC DIFFUSION THROUGH BIOLOGICAL TISSUES UNDER THE EFFECT OF DIRECT ELECTRIC FIELDpg(s) 163-166
The effect of the exposure of biological tissues to external electric fields is still a potent source of controversy. This work addresses the diffusion of ions under the effect of an of an external DC electric field. This was done by studying the diffusion coefficient D as an indicating parameter for such effects. The work was based on a stochastic computer simulation in which the tissue was considered as a matrix containing the elements under study. The size of the matrix was up to 30,000 × 30,000. A two-dimensional honey comb cellular pattern was simulated such that it allowed six maximum possible element-to-element communications. The effect of vacancy concentration and annealing time were tested firstly in the absence of electric field. Then different values of the electric field were applied. Moreover, different vacancy concentrations were studied under the effect of the electric field. The results showed that the ionic penetration increases proportionally with the strength of the electric field as well as the percentage of the available vacancies in the host medium.
The paper considers the problem of modeling agent’s choice, which allows explaining made decisions, as well as predicting possible options. The approach is based on the ideas of a subjectively rational choice. The subjectively rational choice supposes that a choice motivation is determined by external and internal factors. Internal factors represent the interests of a subject induced by his needs and ethical system he follows. External factors are induced by accepted obligations. The agent can estimate his satisfaction with the current goal-seeking state situation. The estimation might lead to changing a structure of interests, so the agent can choose it. The paper shows that when making decisions the agent uses three sets of alternatives as follows: controlling, structural and identification. This supposes the existence of three virtual sides, which choose relevant alternatives. The selection rules for such alternatives depending on subject’s awareness of the situation and the structure of his interests are formed by finding a compromise.
The article suggests the consideration of data analysis ideology in the context of knowledge creation process and the technological patterns of social development. The problems of singularity (human misunderstanding of data processing results) associated with increase in data variety, volume and further intellectualization of the corresponding technologies for their processing are proposed to be solved by creating new formalization techniques that allow retransmission.
The purpose of this study is a method of exact reconstruction in the Radon problem, which consists in refusal of the approximate transformation kernel usage. A comparison of the methods that are currently used in tomosynthesis was conducted. Model experiments were performed; the results of the application of the proposed method in real tomography studies in tomography are given.
A fuzzy model for determining the morbidity rate of employees of a refinery with diseases of the respiratory organs is analyzed on the basis of an analysis of the concentrations of pollutants in all occupational environments using a mathematical apparatus of fuzzy sets. The results of visualization of the developed fuzzy model in the MATLAB Fuzzy Logic Toolbox medium are presented.