Resumen
The subject matter of the article is mathematical models for solving particular problems of selecting candidates for building a project team. The goal is to develop formalized models and methods for assessing the level of the generalized social and professional competence of each employee engaged at a specific type of work of an investment project while building and developing a project team. The objectives are: to formalize decision-making methods; to select the best option on the basis of multicriteria assessment and optimization methods; to analyze the peculiarities of multicriteria assessment tasks in the problems of human resource management; to apply mathematical models of decision making when selecting the most suitable candidates for the project on the basis of the general utility theory. The methods used are: multicriteria assessment and optimization methods, utility function. The following results are obtained. The general task of managing human resources and building a team for a new project was analyzed. The main criterion for involving candidates in the project team appeared to be the qualifications and experience of performing similar work accepted by the organization, but the impact of individual factors of a candidate should be also taken into account. Some methods for solving the task of multicriteria selection with the use of non-formalized experience applied to the tasks of managing the project labour resources are suggested. The suggested method of building a project team is based on the models of multicriteria optimization which, unlike available methods, enable taking into account not only professional competences of employees but also personal and psychological characteristics of candidates in various combinations, which contributes to qualitative performing project tasks depending on specifics requirements of the project. Conclusions. The task of selecting the most suitable candidates for the project on the basis of the general utility theory is considered. The competence approach to managing human resources is justified. The suggested model enables formalizing the preferences of decision-makers and obtaining objective numerical assessments of the competence of candidates. Thus, the task of building a project team is multicriteria and can be solved on the basis of multicriteria assessment and optimization methods. The questions of practical application of the proposed mathematical models and methods are considered. It is suggested to select candidates for a project team on the basis of their experience in solving similar tasks in previous projects.