Optimization modeling of processes of classification transformation in a network organizational system

The article examines one of the processes associated with management in a network organizational system based on a leadership strategy, the process of classification transformation of grouping objects according to the conditions of the management center. The main task is to determine the boundary values of the parameters of the conditions specified on a discrete set in such a way as to distribute resource provision to objects with the maximum potential for achieving target indicators. It is shown that such a problem, when formalized, is a Boolean programming problem. Optimization models of classification ordering are presented for two conditions for rating objects to top classes. These models support a first-order classification ordering process. For solving the task of the secondary sequences of objects not included in the top class, a characteristic feature of the stepwise variation of the integral function is used depending on the numbering of objects corresponding to the rank sequence. Separate stepwise changes are identified as function jumps and determine the optimization nature of their belonging to a given class. An optimization problem is a minimal coverage Boolean programming problem. Using a unified scheme based on the patterns of randomized search, genetic algorithm, and expert estimation is proposed to solve the generated Boolean programming problems.

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