The article proposes the solution of an important scientific and practical task, which consists in the use of didactic systems for the organization of the educational process in order to develop managerial competence of managers. Pedagogical model development managerial competence of managers was developed. It combines the target, theoretical and methodological, motivational-volitional, diagnostic, methodical-technological, productive blocks. Their content is revealed. The purpose and specific tasks of the method development managerial competence of the manager are determined. The theoretical basis development managerial competence is considered: methodological approaches, pedagogical regularities, pedagogical principles. It is proved that one of the most important elements of the model development managerial competence of enterprise managers is a motivational-volitional block. The main motives of professional development, which encourage staff to continuous education, are considered. The essence of basic methods and means of motivation is determined. The toolkit for obtaining information on the level of formation managerial competence of the manager by functional and personal components is offered. The organizational and pedagogical conditions of manager's managerial competence development using the forms, methods and means of training, education and development are substantiated. It is proved that for the development of functional and personal competence of managers it is necessary to form educational, educational and scientific environments. The content effective block of the model is revealed. It provides for the creation of a diagnostic apparatus to determine the level development managerial competence of managers by functional and personal components (high, medium, low) and to implement typology of managers in order to adjust the management competence development methodology (self-actualized, temporarily competent, temporarily incompetent, problem). A promising direction for further research will be the testing of the developed model at specific enterprises and the development of training programs for their managers in accordance with the results.

The paper addresses the dynamic modelling of the UNH crystal growth by means of cellular automata(CA) method for nuclear fuel reprocessing as the alternative to traditionally used extraction method. Model-based CA approach is considered to predict dependence of product's properties on input changes: uranium and nitric acid concentration, solution temperature. CA approach is preferable for crystallization process to get a high purity of reprocessed materials. C++ application is developed as a result of the research. The application allows monitoring of dynamics changes of solution temperature, uranium concentration and shape of crystals.

The aim of the article is to determine the directions to improve the managerial competence of enterprise managers, depending on the level of development of the personal and functional component of their competence. To achieve this goal, the following research methods were used: generalization, comparison, analysis and synthesis, questionnaire method, cluster analysis and graphical method. The essence of the concept "managerial competence of a manager" was clarified and the components of competence were identified. In order to concretize and generalize the tools to develop managerial competence of managers, we have developed their typology and singled out four types: self-advanced, temporarily competent, temporarily incompetent, and incompetent. For the empirical testing of the theoretical statements a cluster analysis was made on the basis of the data gathered in the process of the self-assessment of the managers' competence, and the types of managers depending on the development of their functional and personal components were identified. The recommendations to develop managerial competence are given for each type of managers.