Coordination mechanisms in complex hierarchical systems

The objective of this article is to examine and comparatively analyse the models, methods and algorithms of coordination in the hierarchical systems, as well as to determine an optimal general approach to harmonise and accelerate the information flow between the different levels of the hierarchy. In these systems, changing the concept of optimality, so it is very difficult to find an adequate mathematical formulation of the problems and attach a reasonable meaning to the optimality notion. In particular, this paper formulated the coordination task, analysed and mathematically formalised by two groups the coordination algorithms in the multilevel hierarchical systems, including iterative and non-iterative algorithms. Both coordination methods have the role to transfer the information between the hierarchical sublevels and to accelerate the evaluation and implementation of an optimal solution for the control problem. The obtained results are intended to be used in contribution of decision support multilevel hierarchical systems under different conditions and with different systems complexity.