A MULTI-OPTIONAL HYBRID FUNCTIONS ENTROPY AS A TOOL FOR TRANSPORTATION MEANS REPAIR OPTIMAL PERIODICITY DETERMINATION

The paper considers theoretical explanation and construction of some mathematical models of a transportation mean operational process in reference to maintenance optimal periodicity. The important finding is that the objectively existing engineering transportation means maintenance optimal periodicity is determined in the different from the probabilistic methods way. There is a scientifically proven explanation for the mentioned above periodicity optimization with the help of the specially introduced hybrid-optional effectiveness functions distribution. The developed doctrine uses the entropy paradigm conditional extremization approach. This contribution allows obtaining the wanted optimal periodicities sidestepping the related states probabilities determination and their further extremization. The essential breakthrough of the developed doctrine is that the optional objective effectiveness functions, in such a case, are the corresponding combinations of the intensities of the studied system’s possible transitions from state to state, which relates with the set of the considered operational options. Corresponding limit solutions for the zero-to-zero ratio indeterminate forms are analyzed. Theoretical speculations are illustrated with the example calculation experiments. The necessary diagrams are plotted.

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DEVELOPMENT OF A THEORETICAL APPROACH TO THE CONDITIONAL OPTIMIZATION OF AIRCRAFT MAINTENANCE PREFERENCE UNCERTAINTY

Aviation ◽

10.3846/aviation.2018.5929 ◽

2018 ◽

Vol 22 (2) ◽

pp. 40-44 ◽

Cited By ~ 3

Author(s):

Andriy Goncharenko

Keyword(s):

Mathematical Models ◽

Theoretical Approach ◽

Theoretical Explanation ◽

Aviation Industry ◽

Aircraft Maintenance ◽

Optimal Distribution ◽

Operational Process ◽

Preference Uncertainty ◽

Technical Operation ◽

Conditional Optimization

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.

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AIRCRAFT OPERATION DEPENDING UPON THE UNCERTAINTY OF MAINTENANCE ALTERNATIVES

Aviation ◽

10.3846/16487788.2017.1415227 ◽

2017 ◽

Vol 21 (4) ◽

pp. 126-131 ◽

Cited By ~ 10

Author(s):

Andriy Goncharenko

Keyword(s):

Maximum Principle ◽

Mathematical Models ◽

Theoretical Explanation ◽

Optimal Distribution ◽

Operational Process ◽

The Maximum Principle ◽

State Operator

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.

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