A model of synergistic management of a medical project portfolio based on the telegraphic equation

The relevance of the study is the need to improve the efficiency of managing the portfolio of medical projects for the development of hospital districts. The purpose of the article was to develop and use a model of synergistic management of a portfolio of medical projects for the development of hospital districts based on the telegraphic equation, which takes into account the synergistic relationships between projects and ensures maximum value from their implementation. The paper used the method of critical analysis of scientific literature on project management, information technology, synergistic management and medical project management, a model of synergistic management of a portfolio of medical projects based on the telegraphic equation, numerical methods, and the method of hierarchy analysis. An analysis of scientific papers on the available tools for managing medical projects was carried out. It was found that in 2024 there are no management tools that provide modelling of dynamic processes in systems with spatial and temporal interactions. The expediency of developing a model for synergistic management of a portfolio of medical projects using the telegraphic equation is substantiated. A model of synergistic management of a portfolio of medical projects based on the telegraphic equation is proposed. It involved 6 stages, which are based on the formation of a system of interconnected ordinary differential equations, which are a discrete analogy of the telegraph equation. Based on the developed model, a computer program was created that significantly speeds up the process of making management decisions on the implementation of project portfolios when their project environment changes. The adequacy of the computer program was checked. It was found that the created decision support tool provides accurate results in solving the problems of managing a portfolio of medical projects. The error between numerical and analytical solutions did not exceed 5%, which meets the requirements for such models. Based on the research, the status and synergistic effects of medical projects included in the hospital district development portfolio were quantified, and recommendations for project managers were developed. The obtained research results provide project managers with tools to quantify the status and synergies of healthcare projects in hospital district development portfolios in a given project environment, and recommendations for effective management of these portfolios have been developed