English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The article proposes a mathematical model of the interaction of work performed in an organization at the same time and using common resources. The purpose of the study is the creation of tools with which the decision maker can qualitatively assess the physical ability to execute his orders. As a working hypothesis, it is assumed that the process of performing work is a saturation process, therefore its basic description can be given in the form of a logistic function. Simultaneous performance of work implies their possible influence on each other, manifested in the form of a struggle for common resources. The construction of a mathematical model was associated with the solution of the following problems: selection of a mathematical apparatus that would allow us to evaluate the very possibility of convergence of the described process and present the results at the level of not quantitative but qualitative assessments; identification of the main significant characteristics of the process; with the semantic content of the parameters of the dimensionless model; with an adequate interpretation of the results obtained during the simulation. The empirical material was twenty-year observations of the organization of the managerial process in a higher educational institution, which made it possible to identify a number of factors affecting the quality of management. The model is a system of differential equations, the analysis of which is carried out on the basis of the qualitative theory of differential equations, and allows you to evaluate the qualitative effects that arise when performing a set of works taking into account the level of control available in the organization. On the basis of the basic model, all possible combinations of the agreed limitations in the interaction of the work were considered, as a result of which twelve modifications were constructed. For each model, an analysis of singular points was carried out, and the conditions for the appearance of attractors were revealed. Based on the results of the analysis, recommendations are formulated to help the leader in developing management in solving simultaneous multi-process tasks. The field of research was the sphere of development, managerial decision making and their implementation in a hierarchical organization. Further studies are related to studying the possibilities of increasing the dimensionality of the model and taking into account the factor of employee interest in it, which in the future will lead to the formation of motivation, modeling the enthusiasm of executives and managers, as well as growth points in the organization.

Evaluation of the Possibility of Performing the Complex of Works Based on the Models of Their Interaction