THE METHOD OF CALCULATION AND OPTIMIZATION OF HIERARCHICAL ACS
The article deals with the calculation of stability for hierarchical automated control systems (ACS) at given stability indexes of automation means complexes (AMC) of all level of hierarchy authorities. It establishes the dependence between the implementations of the AMC state and the implementations of a random number of control objects, to which control documents are brought. Based on this dependence, a simulation model for calculating system stability indexes has been developed. A formal scheme of the simulation model has been obtained. The article describes the feasibility of direct application of simulation models in distribution of limited resources in order to optimize the system stability. Examples of calculating stability indexes of the ACS at various values of the AMC stability indexes are given. The problem of designing a hierarchical ACS with a specific structure and operation algorithm is solved. The solutions include tabular and graphical dependences of the optimal value of the system stability on the allocated resources, the allocated resources and the stability indexes of each AMC. It has been established that the time taken to solve a problem using a simulation model is acceptable for the design process.