Multi-level optimization approach to managing the development of hierarchical socio-economic systems

The purpose of the article is to develop a multi-level optimization approach to the management of hierarchical socio-economic systems (HSES). The starting point of the approach is to build a model of the functioning of HSES at the regional level (meso-level), which includes a set of models that characterize the results of the functioning of elements and their aggregates that form subsystems - classes - within the framework of a formalized description of the object of research. For each element and subsystem (for the selected subsystems, its own model of functioning can be built) of the considered hierarchy level, particular and integral indicators of performance, efficiencyand harmony, which serve as indicators of the set (normative, expected) functioning of HSES, are formed. If indicators deviate from standard values, an optimization procedure is performed, which consists in searching for such conditions (state and impact factors for each of the considered subsystems and their elements), in which indicator values will correspond to the standard (expected) values. In general, this problem is reduced to the problem of multi-criteria optimization, where the target function consists of a combination of private and aggregated production functions, the parameters of which are determined using the factor analysis of dependencies. Object and cybernetic models illustrating the multi-level optimization approach to the management of HSES are presented.