In today's global human problem – the COVID-19 pandemic, the optimal resources allocation problem is urgent. Such resources include material, en-ergy, labor, technical, information, financial and others. In turn, resources of each type can be divided into classes. Namely, raw materials can be divided by raw materials types, labor can be divided by professions and qualifications of employees, technical can by technical characteristics, and financial can by sources of funding. The presented problem is devoted to the study of the optimal distribution of resources that correspond to the medical, financial and technical provision of the certain area population.
The numerical research of a number of model problems is carried out for the constructed mathematical model of the problem based on the developed theoretically substantiated algorithms of the decision. The presented research results can serve as a useful tool in terms of effective optimal zoning of existing territorial centers, which are able to produce complexes of population during epidemics and meet the needs of consumers in the field of service at the optimal cost of resources. At the same time, if necessary, it is possible to simultaneously solve the problem of optimal placement of such centers.