Abstract.To increase the efficiency of production in a planned economy, it is necessary to develop mechanisms of functioning that encourage enterprises to maximize the accounting of all reserves for increasing production efficiency. In this article, a model of a competitive mechanism for the functioning of active systems is developed. A feature of competitive mechanisms is that planning or incentive procedures include a competition procedure between active elements claiming to receive a profitable plan or any preferential terms of resource provision, financing and incentives. The authors conducted a study of the competitive mechanism on the example of the problem of resource allocation; It is proved that there is a Nash equilibrium for the competitive mechanism. The paper formulated and proved a theorem on the optimality of competitive mechanisms, which shows how effective the competitive mechanism for the distribution of limited resources.
The paper proposes a mathematical model for evaluating time-varying quality indicators of an arbitrary nature. The model is based on the Rasch’s method of estimating latent variables. Cases of single-criterion and multi-criteria evaluation are considered. The obtained estimates are measured on a linear interval scale and do not depend on a set of indicators, time periods and evaluation criteria. Comparison of results with traditional assessment methods.
The fourth industrial revolution is destroying traditional business models of companies. In order to maintain the current level of competitiveness, companies must adapt to changing conditions, draw up and implement strategies for introducing digital technologies into their business processes. The article presents a structured approach for systematic modeling of business digitalization.
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