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Modelling Influence of Motivation on Efficient Tasks Distribution for Given Team-project Correspondence

The mathematical model of project execution, considering motivation effects on personal productivity is suggested in the paper. The main supposed application of the model is the task allocation problem during project management, which is restricted by the parameters of correspondence between tasks and team competence and interests, and execution deadline restrictions. In this way, motivation is considered an influential factor, and we explore how it affects team productivity and how can it be managed by task allocation strategies on the basis of personal motivation control. Namely, we explore the effects of personal motivation factors on overall project success. For this purpose, we consider motivation and competence factors in the model at the agent level, and take into account the initial abilities of a team, with given competence and motivation, to implement a project requiring a number of skills. To measure the effect of motivation and its role in project management, we perform a set of experiments showing (i) optimistic project execution times on the basis of team abilities against project requirements, (ii) possible effects of motivation on project execution and possibilities of its management, and (iii) effects of managerial approaches on team productivity (competence and motivational growth and their effects on tasks execution). The results show that poor correspondence between team and project competencies and interests can tenfold decrease team productivity, which can be partly eliminated by task assignment strategies, aimed at motivation control.