  The approach to decomposition of multidimensional network systems on monoflow
multilayer network systems (MLNS) is proposed, which significantly simplifies
the analysis of intersystem interactions in multipurpose and multifunctional
supersystem formations. A flow model of monoflow partially overlapped MLNS is
built, which reflects the process of intersystem interactions between network
systems that ensure the movement of flows of a certain type. The main local and
global flow characteristics of MLNS elements are determined, which allow us
more adequately from a functional point of view to establish the importance of
nodes and edges of a multilayer system compared to their structural
characteristics. The constructed model is proposed to be used for the
development of methods of protecting complex network and multilayer network
systems from targeted attacks and non-targeted lesions of various types and
solving other practically important problems of system analysis.
