Modeling of a Numeracy of Dominant Options of Multialternative Optimization

Abstract

One of the problems arising in management of large systems, is a selection of the best management options. To solve this problem an approach that allows to generate a numeracy of perspective options for managerial decisions is proposed. Development of a numeracy of dominant options of managerial decisions is based on the application of basic algorithmic procedures of variation modeling and building of multiple-optimization models. To use basic algorithmic procedures of variation modeling, the typical tasks are highlighted and their formalization with inclusion of alternative variables, allowing to develop a numeracy of perspective options through the variability of indicators, is performed. At that the problem of dichotomous reduction arises. Integration of all stages of decomposition and equivalent transition to analytical optimization models into a single scheme allowed to define a method of mathematical modeling of dichotomous reduction of complex systems diversity. To identify the dominant option, an algorithm that combines computational procedures for determination of the preference vector and the rational choice procedures, is developed.