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The Simplest Models of the Macroeconomics Dynamics in a Composition with the Principle of the Subjective Entropy Maximum

Kasianov Vladimir Aleksandrovich, Goncharenko Andriy Viktorovich

Transactions on Aerospace Research

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2023

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Nr 1 (270)

10--21

EN

This paper proposes a solution to a certain macroeconomic model. A multi-alternative problem of aviation transportation optimal organisation in conditions of uncertainty of the subjective preference functions is considered. Conditional optimisation of the objective functional containing the entropy of the individuals’ operational effectiveness functions preferences is carried out in the framework of the simplest macroeconomic problem. The principle of the Solow and Cobb-Douglas models, similar to the approach adopted for the estimation of economic growth, is modified with the subjective entropy maximum principle. The advantages of the described optimisation approach are demonstrated in the generalised terms of the operational effectiveness functions for aviation transportation organisation.

2

Development of the Airline Business Macroeconomics Dynamics Models

Kasianov Vladimir, Goncharenko Andriy

Transactions on Aerospace Research

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2023

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Nr 2 (271)

25--32

EN

This paper proposes a solution to a certain macroeconomic model. A multi-alternative problem of aviation transportation optimal organisation in conditions of uncertainty of the subjective preference functions is considered. Conditional optimisation of the objective functional containing the entropy of the individuals’ operational effectiveness functions preferences is carried out in the framework of the simplest macroeconomic problem. The principle of the Solow and Cobb-Douglas models, likewise for economic growth, is modified with the Subjective Entropy Maximum Principle. The advantages of the described optimisation approach are demonstrated in generalised terms of the operational effectiveness functions for aviation transportation organisation.

3

Solving a Certain Two-Alternative Problem in the Optimal Organization of Aviation Transportation in Conditions of Uncertainty

Goncharenko Andriy Viktorovich

Transactions on Aerospace Research

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2022

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Nr 1 (266)

66--74

EN

This paper proposes a solution to a certain two-alternative problem of aviation transportation optimal organization in conditions of uncertainty of the subjective preference functions. Conditional optimization of the objective functional containing the entropy of the individuals’ operational effectiveness functions preferences is carried out in the framework of the simplest variational problem. The advantages of the described optimization approach are demonstrated in the generalized terms of the operational effectiveness functions for aviation transportation organization.

4

A particular case of a variational problem of control in an active aviation system

Goncharenko A. V.

Prace Instytutu Lotnictwa

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2013

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Nr 1 (228)

3--12

EN

It is theoretically considered one of the simplest particular cases of a variational problem of control in an active aviation system acting in conditions of multi-alternativeness and conflicts. With the help of the Euler-Lagrange equations it is obtained the canonical distributions of the subjective preferences for the given functional; differential equation of the second order for finding extremals of the controlled functions of the functional The differential equation satisfies the conditions of existence and unique solution. Mathematical modeling is fulfilled with the help of the hybrid pseudo-entropy function. Plotted corresponding diagrams.