Abstract
The paper considers the theoretical explanation and construction of some mathematical models of the aircraft operational process in reference to maintenance organizations preferred by aviation experts and aircraft operators. The uncertainty of such operational multi-alternativeness is evaluated on the basis of subjective entropy of preferences demonstrated by aircraft operators and aviation experts. When applying the maximum principle of subjective entropy, the optimal distributions of the preferences are obtained. The proposed concept allows finding the optimal distribution of the aircraft fleet according to the available maintenance alternatives. To optimize the above mentioned distribution, one may take into account the possible development and improvement of maintenance organizations and so called “shadow” components. The paper also discusses a significant approach that helps to evaluate the effectiveness of organizations functioning in the area of aviation. This evaluation can be carried out at both global and continental levels as well as state, operator, and airline levels. The respective modeling has been performed and is illustrated with diagrams.
Highlights
Aircraft operation is carried out under uncertainty regarding operational conditions
This paper considers the applicability of models for providing an appraisal for Thailand based aircraft maintenance with regard to multi-objective optimization, which is a bit closer to the multi-alternativeness of operational situations
We have obtained the canonical distributions of the preferences for aircraft maintenance organizations (AMOs), Equation (6) and Equation (11), which provide the possibility to trace the changes in the preferences
Summary
Aircraft operation is carried out under uncertainty regarding operational conditions. A study gap, requiring endeavors to undertake scientifically substantiated research has been identified, since the paper’s decision-support model does not use any functions of alternatives subjective preferences, derived on the basis of some variational or optimization principle in combination with an explainable uncertainty degree measure, in an explicit way. The background of this topic in conjunction with past studies, and the identified corresponding literature source deficiencies, encourage urgent attempts for developing an adequate theoretical basis encompassing some simplest, to a marginal extent, demonstrative models allowing to investigate the principal dependences between the functions variables related to the participants in aircraft airworthiness support processes. The AO’s preferences are formed under the impact (influence) of the AMOs’ effectiveness functions themselves as well as the experts’ subjective preferences for the AMOs with respect to the AO’s opinion
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