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** Description:** In order to solve research problems of systems with a large number of states proposed decomposition approach. The method, which allows calculating the rational state groups. Consider the particular case of systems with two-dimensional analysis of the set of possible states. Substantiates the rational strategy of decomposition of a complex system, the functioning of which is described by the two-dimensional fully accessible Markov graph.

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Keywords:
** system with a large number of states, decomposition, rational calculation of the number of groups, the computational procedure, evaluation of the effectiveness of decomposition procedures

Karpenko, V.V. and Khazym Yamen, (2016), “Dekompozytsyonnaia tekhnolohyia analyza system s bolshym chyslom sostoianyi” [Decomposition technology systems analysis with the large number of states],