Abstract. The article focuses on exploring mathematical models for optimizing business processes in project management within IT companies in the context of contemporary trends and challenges. Project management involves the process of guiding and coordinating people's activities, as well as managing material and financial resources throughout the project's lifecycle. This process encompasses applying modern management methods and techniques to achieve project goals. The dynamic allocation modeling of IT projects among teams to ensure high-quality development at maximum efficiency with minimal costs is a pertinent task in IT project management. The article's objective is to select a mathematical framework for decision-making regarding the optimal IT project management program to enhance the efficiency of each IT team and the entire IT company. The research involved an analysis of scientific literature on modeling project management in IT companies. The article proposes focusing on developing dynamic multi-criteria optimization models for human resource management, emphasizing the distribution of IT projects among executing teams. The research aims to elevate the strategic and operational levels of IT personnel management to achieve optimal outcomes in information technology. The analysis concludes that despite the advantages of various mathematical modeling methods, none of them in isolation allows for constructing a sufficiently detailed mathematical model. Methods and models addressing IT enterprise modeling problems may oversimplify the issue or, conversely, overly complicate it, complicating the selection of input data. The functioning of the IT enterprise was analyzed through the lens of external and internal indicators concerning the solved task. A verbal model of IT project distribution among teams, considering the time factor, was developed. This model formulated a system of basic concepts and ideas, allowing the dynamic formulation of the problem using widely accepted linear optimization models. This will facilitate finding optimal solutions for IT project distribution tasks over a specific period. Future research should focus on selecting a solution method for the model and implementing the constructed mathematical model using appropriate tools. The research findings presented can serve as a basis for further academic exploration and practical application in the field of IT project management. Keywords: modeling, optimization, business processes, project management, labor resources, IT projects.