Optimization of management in an organizational system with alternative supplies based on a multivariate choice model and algorithm

The article proposes an optimization approach to decision-making in management in an organizational system with alternative supplies based on a multivariate choice model and algorithm. The main features that define the structure of optimization model of multivariate choice are characterized: multicriteria, individual need for deliveries for each nomenclature unit and each object of the organizational system, the choice of supplier. It is shown that the initial model is a multi-criteria optimization model in which the criteria are specified on a set of alternative variables. An equivalent approach to the optimization problem with a constraint on the total supply goal for each object and the target function in the form of a weighted average convolution of the other indicators affecting the performance of the organizational system is justified. For the subsequent algorithmic multivariate selection, the target function and constraints are combined with an additive function to which extreme requirement of max-min is imposed. The algorithmic procedure of multivariate selection of management decisions is formulated by integrating a randomized search based on the task of multi-alternative optimization and genetic algorithm. The advantage in terms of search labor intensity when combining the used algorithms in the alternation mode in comparison with the known use of genetic algorithm only at the final stage of selecting the final management decision on the set of dominating options is shown.

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