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In the article the models of management of the project team are considered, they are most difficult to formalize in the fields of knowledge in project management. The study presents economic and mathematical models for managing the project team for threshold collective behavior, for example, the crew of a sea vessel. When implementing specific projects, the experience of leadership and management of a small team often remains at the level of intuition, which leads to the individualization of knowledge and prevents the effective use of the management potential of the team. In the science of management, there are methods of managing personnel, are considered separately, without taking into account the mutual influence of psychological processes, does not allow to form a single, multifactor management concept for a small team in the project. And even more so in the development of project team management, the impact of project implementation conditions on the choice of management methods for the project team is rather poorly taken into account, requires the leader of the psychologist’s experience or significantly reduces the manageability of the project team. This method, unlike the existing ones, includes the team competence radial diagram analysis based on the «balance wheel» principle of a professional team coherence. Input data are professional testing and expert evaluation results (with the involvement of specialists and experts of appropriate qualification). Building and analysis of competence wheel diagrams allow to visualize the compatibility of professional knowledge and skills of all team members together to identify team and personal lack of knowledge and risks of project implementation. As a result, the decision-making person obtains knowledge deviation values, that can help him to make decisions for competence risks elimination. The complexity and multifactoriness of the choice of management methods for the project team, and sometimes the need for managers in direct recommendations for the management of the project team. The practical value of the obtained results lies in the enrichment of the methodology of the researched problems, which is useful for scientists, the possibility to use in business design of crewing companies.

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