Some optimization problems of the management of socio-ecological-economic systems

An approach to the formation and solution of a class of multicriteria optimization problems is proposed, extending the methodology of analysis of the environment of functioning of complex systems considered as socio-ecological and economic systems (sees). The approach includes the formation of individual and integral performance indicators, the difference of which is the calculation of its own standard for each of the objects of study. The algorithm for constructing indicators on the basis of statistical data processing and econometric modeling provides for taking into account the relationship between the particular indicators of evaluation and the specific essential conditions of the sees functioning (state and impact factors). The technique of formation of the coefficient of harmony, which characterizes the balance of the level of development of sees, which is one of the criteria for the stability of complex systems. The statement of the problem of optimization of the sees performance criterion is carried out due to the search for the state and impact factors in which the standard can be achieved. In the General case, this problem reduces to a nonlinear multi-objective optimization problem with constraints. The optimality criterion is selected depending on the objectives of the sees management entities. A special case of the solution of porblem for regions of the Central Federal district with the use of Rosstat data for 2007–2015 is considered.