Mathematical support for selecting directions for the development program of an organizational system based on a combination of a randomized search algorithm and a genetic algorithm with adaptation

The article is devoted to the development of an optimization approach to the selection of directions for the optimization system development program. It is shown that the formalization of the process of optimal selection of a management decision when forming a development program leads to a model of multi-alternative optimization. It is advisable to implement the solution of the optimization problem using a directed randomized search. However, in this case it is only possible to form a set of dominant options, which requires the use of expert assessment to select the final option for distributing organizational system objects between the directions of the development program. Another approach is proposed based on a combination of a randomized search algorithm and a genetic algorithm with adaptation. In order to integrate these algorithms into a single iterative scheme for searching for an optimal solution, first of all, the condition for the transition from the first iterative process of a randomized search to the formation of a genetic algorithm population with elements corresponding to random values of alternative variables is substantiated. Parents are selected from this population and a transition to the second iterative process of probabilistic selection of the best option for combining crossbreeding and reproduction schemes is carried out. It is shown that a two-level adaptive algorithm using the values of the fitness function corresponding to the structure of the original optimization problem is acceptable for correcting the probability characteristics from one iteration process. The third iteration process is aimed at including seven mutation options in the selection of genetic algorithm elements. It is shown by what condition the listed search processes are stopped for the subsequent selection of the optimal management solution.

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