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Introduction. An important condition for successful business development in modern conditions is the application of project management methodology, which uses the principles of command work. Despite the fact that approaches to evaluation of applicants to the project team are defined within the framework of a certain organization and take into account its specificity, it is difficult to clearly quantify the competence of such specialists. Due to the large number of evaluation methods available, it is necessary to select a narrower and more accurate set of test material corresponding to the specific organization and competency model of the team member. Aim. The purpose of the work is to solve the problem of forming an optimal set of tests, satisfying the conditions of maximization of their quality and minimization of time expenses. Methods. In order to develop an algorithm that optimizes this process, it is necessary to analyze existing tests and methods of evaluation of competence of applicants to the project team and to develop an algorithm for formation of an optimal package of tests with the condition of minimization of time spent on their passage and maximization of the degree of compliance of the test with quality. To determine the optimal solution of the problem of minimum coverage of multiple competences by tests taking into account minimization of time and maximization of compliance degree, a modified method of branches and boundaries is used. To solve the task of selecting an employee for a position, a modification of the TOPSIS method is proposed. Results. The work proposes a multi-criterion mathematical model for forming an optimal portfolio of tests for assessing the competences of applicants for membership of the project team. Conclusion. The proposed mechanism can be applied to the activities of any company using project management methods.

The aim of the research is the choice of the optimal material for temporary unremovable dentures supported by the isoelastic implants. The objectives of the research are to study the stress-strain state of structures consisting of milled temporary dentures on isoelastic implants by finite element method and to make a comparative assessment of microbial adhesion to the materials for long-term temporary unremovable dentures in vitro. We made the model of temporary bridges from three units: supporting first premolar, second premolar, supporting first molar. We examined different supporting elements’ combinations of crestal implants, basal implants and natural tooth. We compared three temporary bridges’ materials. We used the standard technique for assessing primary adhesion in vitro with ultrasonic action to study the microbiological properties of materials. Analysis of the data shows that the stress distribution in crowns is practically independent of the properties of the studied temporary bridges’ materials. The areas of maximum stress occur in the intraosseous part of implants in all studied cases. The adhesion of microorganisms is less to samples of Russian material Nolatech compared with samples from foreign analogues: Dentokeep PEEK and Temp Basic. Polished Nolatech showes lower rates of microbial adhesion of all studied representatives of microbial flora, than varnished one.