Mathematical Modeling of Organizational Project Management

A new mathematical model is presented aimed at improving the accuracy of forecasting and the effectiveness of managing organizational projects in conditions of uncertainty. The relevance of the study stems from the growing complexity of projects and the need to develop tools to minimize risks and optimize resources. The aim of the study is to create a mathematical apparatus that allows assessing the influence of various factors on the dynamics of the project and developing management mechanisms that are resistant to external influences. To achieve this goal, an analysis of existing approaches to project management was conducted, a mathematical model was developed based on systems theory and control theory. A systematic approach was used to build the model, which helped to account for the interrelationships between the various elements of the project. The model takes into account such factors as uncertainty, resource constraints and process dynamics. The results of the study allowed us to create a tool for forecasting and optimizing project management. The model helps to identify potential risks and develop effective strategies to minimize them. The scientific novelty of the work lies in the development of a new mathematical model that takes into account the specifics of organizational projects in order to accurately predict their results. The practical significance of the study lies in the possibility of using the developed model to improve the efficiency of project management in various organizations.