A Model of Optimal Control of Structural Changes in an Organizational System

An organizational system is considered, namely, an aggregate of certain elements that are hierarchically connected for fulfilling a collection of functions. It is assumed that the result of the work of the system depends on its structure. For a set of various structures (graphs of the organization), expenditures on the operation of the system and on the restructurization are defined. An optimal control of structural changes in a finite time interval involves the choice of the sequence of structural transformations that maximize the total profit. An optimal control enables balancing the expenditures for the operation (effectiveness) and for the restructurization (the stability to external actions).