Abstract

Subject of research: possibility of realization of structural and parametric transition between different states of organizational and technical systems taking into account the properties and features of the processes realized in them.
 Purpose of research: the need to develop and implement methods aimed at solving optimization problems, which are associated with structural transformations of models of organizational and technical systems, and allowing to take into account their intermediate states during the transition from the initial state to the required state.
 Objects of research: mathematical models of organizational and technical systems in the form of sign weighted oriented graphs built on the basis of selected types of relations between elements in terms of conflict theory.
 Methods of research: the method of system analysis is used, associated with the allocation of types of relations between the elements of the studied systems in terms of conflict theory, as well as the formalization of the solution of optimization problems on the basis of structural-parametric representation of research objects.
 Main results of research: models of organizational-technical systems in structural-parametric relation with regard to the selected types of relations between their elements from the point of view of the conflict theory are given; a method is developed, which is based on the formation of tuples of operations necessary for the structural transformation of the systems under study, and which allows taking into account the ways of indirect transition from the initial state of the system to the required (optimal) one; an auxiliary algorithm is developed, which is based on the use of a database containing a set of tuples of augmentations An example of implementation of the proposed method on the model of communication network is given, which shows how the structural-parametric optimization of organizational and technical systems can be carried out.

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