Abstract
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.
Highlights
It is important to perform proper aircraft maintenance at the aircraft maintenance organizations (AMOs) officially approved by ICAO, EASA, and the National Civil Aviation Authorities (NCAA)
The set of the approved AMOs is a set of competitive alternatives available for aircraft operators (AOs) to maintain the AOs’ or airlines’ aircraft fleets (AAFs)
The aim of the present paper is to develop a model of conditional optimization of the AAFs divergence between two AMOs in the framework of the theory of subjective analysis (Kasianov, 2013; Kasianov & Goncharenko, 2015, 2017; Goncharenko, 2017)
Summary
It is important to perform proper aircraft maintenance at the aircraft maintenance organizations (AMOs) officially approved by ICAO, EASA, and the National Civil Aviation Authorities (NCAA). The objective uncertainty in probabilistic events as well as the subjective uncertainty in the preferences of the available alternatives have to be taken into scientific consideration in order to predict and simulate the developments in aircraft operational situations The improved theoretical approach includes the explanation of the aircraft operational process with regard to the maintenance organizations preferences constrained to the AMOs resources. This is a kind of an isoperimetric condition. The problem setting proposed in the present paper will require one more, additional, extra, constrain (the restriction or limitation of the AMOs resources influence on the required decision making process result) as compared to the previous research conducted in Goncharenko (2017), where only the normalizing condition constrain has been taken into account
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