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

• Autorzy: Kasianov Vladimir Aleksandrovich , Goncharenko Andriy Viktorovich

Identyfikatory

DOI

10.2478/tar-2023-0002

• Języki publikacji: EN

Abstrakty

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.

Słowa kluczowe

EN

aviation transportation; operational effectiveness; objective functional optimisation; simplest macroeconomic problem; entropy

• Wydawca: Wydawnictwa Naukowe Sieci Badawczej Łukasiewicz - Instytutu Lotnictwa
• Czasopismo: Transactions on Aerospace Research
• Rocznik: 2023
• Tom: Nr 1 (270)
• Strony: 10--21
• Opis fizyczny: Bibliogr. 32 poz., rys., wzory

Twórcy

autor

Kasianov Vladimir Aleksandrovich

• Faculty of Transport, Management and Logistic, National Aviation University, 1, Liubomyra Huzara Avenue, Kyiv 03058, Ukraine

autor

Goncharenko Andriy Viktorovich

• Faculty of Transport, Management and Logistic, National Aviation University, 1, Liubomyra Huzara Avenue, Kyiv 03058, Ukraine

• https://orcid.org/0000-0002-6846-9660

Bibliografia

• [1] Solow, R.M. „A Contribution to the Theory of Economic Growth”. Quarterly Journal of Economics Vol 70 No. 1 (1956): pp. 65-94. DOI 10.2307/1884513.
• [2] Swan, T.W. „Economic Growth and Capital Accumulation”. Economic Record Vol. 32 No. 2 (1956): pp. 334-361. DOI 10.1111/j.1475-4932.1956.tb00434.x.
• [3] Acemoglu, D. „The Solow Growth Model”. Introduction to Modern Economic Growth. Princeton University Press, Princeton (2009): pp. 26-76. ISBN 9780691132921.
• [4] Barelli, P. and Pessôa, S. „Inada Conditions Imply that Production Function must be Asymptotically Cobb-Douglas” (PDF). Economics Letters Vol. 81 No. 3 (2003): pp. 361-363. DOI 10.1016/S0165-1765(03)00218-0.
• [5] Litina, A. and Palivos, T. „Do Inada Conditions Imply that Production Function must be Asymptotically Cobb-Douglas? A Comment”. Economics Letters Vol. 99 No. 3 (2008): pp. 498-499. DOI 10.1016/j.econlet.2007.09.035.
• [6] Mankiw, N.G., Romer, D., and Weil, D.N. „A Contribution to the Empirics of Economic Growth”. The Quarterly Journal of Economics Vol. 107 No. 2 (1992): pp. 407-437. DOI 10.2307/2118477.
• [7] Касьянов, В.А. Элементы субъективного анализа: монография/В. А. Касьянов. - К.: НАУ (2003): с. 224.
• [8] Касьянов, В.А. Субъективный анализ: монография/В. А. Касьянов. - К.: НАУ (2007): c. 512.
• [9] Kasianov, V. Subjective Entropy of Preferences. Subjective Analysis: Monograph/V. Kasianov. Institute of Aviation Scientific Publications, Warsaw (2013): p. 644.
• [10] Касьянов, В.А. Энтропийная парадигма в теории активных систем. Субъективный анализ: монография/В. А. Касьянов. - К.: ДП НВЦ «Приорітети» (2016): с. 657.
• [11] Wassily, W.L. Input-Output Economics (2nd ed.). Oxford University Press, New York. ISBN 9780195035278.
• [12] Jaynes, E.T. „Information Theory and Statistical Mechanics.” Physical Review Vol. 106 No. 4 (1957): pp. 620-630. Available at: https://bayes.wustl.edu/etj/articles/theory.1.pdf.
• [13] Jaynes, E.T. „Information Theory and Statistical Mechanics II.” Physical Review Vol. 108 No. 2 (1957): pp. 171-190. Available at: https://bayes.wustl.edu/etj/articles/theory.2.pdf.
• [14] Jaynes, E.T. „On the rationale of Maximum-Entropy Methods.” Proceedings of the IEEE Vol. 70 (1982): pp. 939-952.
• [15] Silberberg, E. and Suen, W. The Structure of Economics. A Mathematical Analysis. McGraw-Hill Higher Education, New York (2001).
• [16] Goncharenko, A. „Optimal Price Choice through Buyers’ Preferences Entropy.” Proceedings of the International Conference on Advanced Computer Information Technologies (ACIT-2020): pp. 537-540. Deggendorf, Germany, September, 2020.
• [17] Goncharenko, A.V. „Multi-Optional Hybrid Effectiveness Functions Optimality Doctrine for Maintenance Purposes.” Proceedings of the International Conference on Advanced Trends in Radioelectronics, Telecommunications and Computer Engineering (TCSET-2018): pp. 20-24. Lviv-Slavske, Ukraine, February, 2018.
• [18] Goncharenko, A.V. „Expediency of Unmanned Air Vehicles Application in the Framework of Subjective Analysis.” Proceedings of the IEEE 2nd International Conference on Actual Problems of Unmanned Aerial Vehicles Developments (APUAVD): pp. 129-133. IEEE, Kyiv, Ukraine, October, 2013.
• [19] Goncharenko, A.V. „Navigational Alternatives, their Control and Subjective Entropy of Individual Preferences.” Proceedings of the IEEE 3rd International Conference on Methods and Systems of Navigation and Motion Control (MSNMC): pp. 99-103. IEEE, Kyiv, Ukraine, October, 2014.
• [20] Goncharenko, A.V. „Applicable Aspects of Alternative UAV Operation.” Proceedings of the IEEE 3rd International Conference on Actual Problems of Unmanned Aerial Vehicles Developments (APUAVD): pp. 316-319. IEEE, Kyiv, Ukraine, October, 2015.
• [21] Goncharenko, A.V. „Several Models of Artificial Intelligence Elements for Aircraft Control.” Proceedings of the IEEE 4th International Conference on Methods and Systems of Navigation and Motion Control (MSNMC): pp. 224-227. IEEE, Kyiv, Ukraine, October, 2016.
• [22] Goncharenko, A.V. „Aeronautical and Aerospace Material and Structural Damages to Failures: Theoretical Concepts.” International Journal of Aerospace Engineering Article ID 4126085 (2018): p. 7.
• [23] Goncharenko, A.V. „Multi-Optional Hybridization for UAV Maintenance Purposes.” Proceedings of the IEEE 5th International Conference on Actual Problems of Unmanned Aerial Vehicles Developments (APUAVD): pp. 48-51. IEEE, Kyiv, Ukraine, October, 2019. DOI 10.1109/APUAVD47061.2019.8943902.
• [24] Solomentsev, O., Zaliskyi, M., and Zuiev, O. „Estimation of Quality Parameters in the Radio Flight Support Operational System.” Aviation Vol. 20 No. 3 (2016): pp. 123-128.
• [25] Patel, G.C.M., Chate, G.R., Parappagoudar, M.B., and Gupta, K. „Intelligent Modelling of Hard Materials Machining.” Springer Briefs in Applied Sciences and Technology (2020): pp. 73-1021.
• [26] Béjar, S.M., Vilches, F.J.T., Gamboa, C.B., and Hurtado, L.S. „Fatigue Behavior Parametric Analysis of Dry Machined UNS A97075 Aluminum Alloy.” Metals Vol. 10 No. 5 (2020): p. 631.
• [27] Hulek, D. and Novák, M. „Expediency Analysis of Unmanned Aircraft Systems.” Proceedings of the 23rd International Conference on Transport Means: pp. 959-962. Palanga, Lithuania, October, 2019.
• [28] Kasjanov, V. and Szafran, K. „Some Hybrid Models of Subjective Analysis in the Theory of Active Systems.” Transactions of the Institute of Aviation Vol. 3 No. 240: pp. 27-31. DOI 10.5604/05096669.1194963.
• [29] Pagowski, Z.T. and Szafran, K. „Ground Effect Inter-Modal Fast Sea Transport.” International Journal on Marine Navigation and Safety of Sea Transportation Vol. 8 No. 2 (2014): pp. 317-320. DOI 10.12716/1001.08.02.18.
• [30] Szafran, K. “Bezpieczeństwo lotu - zasada maksymalnej entropii” [Flight safety - the principle of maximum entropy] (in Polish), Bezpieczeństwo na lądzie, morzu i w powietrzu w XXI wieku (2014): pp. 247-251. ISBN 9788361520023.
• [31] Szafran, K. and Kramarski, I. „Safety of Navigation on the Approaches to the Ports of the Republic of Poland on the Basis of the Radar System on the Aerostat Platform.” International Journal on Marine Navigation and Safety of Sea Transportation Vol. 9 No. 1 (2015): pp. 129-134. DOI 10.12716/1001.09.01.16.
• [32] Szafran, K. „Bezpieczeństwo operatora pojazdu trakcyjnego - stanowisko prób dynamicznych” [Traction vehicle operator safety - dynamic test station]. Logistyka Vol. 6 (2014): pp. 192-197.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).