# Features of the mathematical model for assessing the time spent on production activities in operational management

Дата публикации: 31.08.2021

# Features of the mathematical model for assessing the time spent on production activities in operational management

Ivanova S.I.
Kornienko N.A.
Аннотация: One of the most important problems of operational management is the solution of issues of high-quality performance of functions by employees of a structural unit. As a rule, neither the manager nor the subordinates have any doubts about the need to improve the grassroots management circuit. At the same time, each of the participants in the production process of the lower management circuit sees the solution to this problem in different ways-this is another problem related to solving issues of improving the quality and efficiency of the structural unit. At the same time, the solution to this problem is seen in the development of an adequate mathematical model, and on its basis an information model that will allow determining the optimal structure of the grassroots management circuit and rationally distributing the functionality among the employees of the structural unit.
The proposed mathematical model is based on a conceptual approach that includes two principles-the principle of logical completeness of the production action and the principle of nesting of production actions. This approach allowed us to classify the production actions implemented in the structural division in a certain way and to obtain effective mathematical and information models that allow us to solve a wide range of tasks of operational management of the grass-roots management circuit. The basis of the mathematical model is an additive algebraic structure, which follows from the conceptual approach to the definition of the concept of “production action”. The main value operated in the mathematical model is the time spent on performing production actions implemented in the structural unit. In the mathematical model, the time for performing production actions of various levels is estimated. The proposed mathematical model has sufficient generality and universality. It can be used in any structural divisions (not necessarily in the field of education), where the property of nesting of production actions is revealed. This is its theoretical novelty and practical significance.
Ключевые слова: mathematical model, information model, operational management, control loop, model efficiency
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