Abstract
The purpose of the research is to develop a mathematical core of the decision-making preparation system (DSS) and an integral DSS algorithm in the field of public health care management. The urgency of the research is determined by the need to coordinate economic and social issues, the urgency and importance of which is increasing all the time, and the growing need for effective use of financial, budgetary, and other resources in times of economic crises and military operations. The goals that should be achieved by the implementation of digital health care management tools and the tasks that should be solved for this are defined. Factors that affect the effective implementation of DSS and results that are achieved by eliminating negative factors of influence are systematized. Possible indicators of the effectiveness of decisions made are specified. It is indicated that the implementation of DSS technologies in the field of health care and the integration of information resources for this purpose in this area should in the future be oriented to the implementation of an effective integrated national model of Digital Health Records, which is the main structural element of a digital system aimed at health care of every individual. For the analysis of data and the preparation of decision options in the field of health care, a multidimensional system for managing cloud resources of super-large data is proposed and the need to introduce specific digital tools is indicated, in particular data lake house, which allows the implementation of a multi-scenario version of the management solution, which is important for economic and social problems. A mathematical model and an algorithm of DSS in the field of public health care management, which uses the approach of multi-dimensional multi-extreme optimization and the introduction of "nested" one-dimensional solutions on the data hypercube, are developed. This will make it possible to solve complex multi-parametric economic and social problems with the effective use of computing system resources.