Development of a theoretical approach to the conditional optimization of aircraft maintenance preference uncertainty


The paper builds on the ideas of previous research concerning the theoretical explanation of the aircraft operational process with regard to the preferences for maintenance organization by experts and aircraft operators, and describes the designed mathematical models. The problem of conditional extremization is considered. The uncertainty of aircraft technical operation multi-alternativeness is evaluated using the subjective entropy of the aircraft operators’ and experts’ preferences. By applying the subjective entropy extremization principle in view of its maximum, we obtain the conditional optimal distributions of the preferences. The proposed approach allows finding the optimal distribution of the aircraft fleet for the available maintenance alternatives, taking into consideration the restricted possible influences or shadow components of maintenance organizations. The concepts discussed here are important for evaluating the effectiveness of the aviation industry by making allowance for shadow parameters, if needed. The designed model is illustrated with diagrams.

Keyword : aircraft operation, airworthiness support, flight safety, aircraft maintenance, multi-alternativeness, uncertainty, subjective entropy extremization principle, optimization, shadow economy, individual preferences

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Goncharenko, A. (2018). Development of a theoretical approach to the conditional optimization of aircraft maintenance preference uncertainty. Aviation, 22(2), 40-44.
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Oct 16, 2018
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Dhillon, B. S. (2006). Maintainability, maintenance, and reliability for engineers. New York: Taylor & Francis Group.

Gališanskis, A. (2004). Aspects of quality evaluation in aviation maintenance. Aviation, 8(3), 18-26.

Goncharenko, A. (2017). Aircraft operation depending upon the uncertainty of maintenance alternatives. Aviation, 21(4), 126-131.

Kasianov, V. (2013). Subjective entropy of preferences. Subjective analysis. Warsaw, Poland: Institute of Aviation Scientific Publications. Retrieved from

Kasianov, V. A., & Goncharenko, A. V. (2015). Variational principles of subjective analysis. Modified Euler-Lagrange variational principle. Entropy approach. Kyiv, Ukraine: SE TPC “Pryoritety”. Retrieved from

Kasianov, V. A., & Goncharenko, A. V. (2017). Extremal principle of subjective analysis. Light and Shadow. Proportions of shadow economy. Entropy approach. Kyiv, Ukraine: “Kafedra”.

Kourousis, K. I., & Comer, A. (2018). Indian and Chinese aviation industry: the EASA framework option. Aircraft Engineering and Aerospace Technology, 90(2), 246-250.

Kroes, M. J., Watkins, W. A., Delp, F., & Sterkenburg, R. (2013). Aircraft maintenance and repair. New York, NY, USA: McGraw-Hill, Education.

Kulyk, M., & Suslova, G. (2014). Integration of the ICAO Training Institute into the international education network. Aviation, 18(2), 104-108.

Le, H., & Lappas, I. (2015). Continuing airworthiness: major drivers and challenges in civil and military aviation. Aviation, 19(4), 165-170.

Nakagawa, T. (2005). Maintenance theory of reliability. London: Springer-Verlag.

Shmelova, T., Sikirda, Y., Rizun, N., Salem, A. B. M., & Kovalyov, Y. N. (2017). Socio-technical decision support in air navigation systems: emerging research and opportunities. Pennsylvania, USA: International Publisher of Progressive Information Science and Technology Research.

Solomentsev, O., Zaliskyi, M., & Zuiev, O. (2016). Estimation of quality parameters in the radio flight support operational system. Aviation, 20(3), 123-128.

Sushchenko, O., & Goncharenko, A. (2016). Design of robust systems for stabilization of unmanned aerial vehicle equipment. International Journal of Aerospace Engineering, 2016(2016), Article ID 6054081, 10 pages.

Thian, C. V. (2015). Civil and military airworthiness challenges in Asia. Aviation, 19(2), 78-82.

Wild, T. W., & Kroes, M. J. (2014). Aircraft powerplants. New York, NY, USA: McGraw-Hill, Education.

Zaporozhets, O., Tokarev, V., & Attenborough, K. (2011). Aircraft noise. Assessment, prediction and control. Glyph International, Taylor & Francis.