The paper deals with the combined problem of the subjective analysis grounded upon the important parameters of the air transportation technologies resources recombination. It is considered the time of the aircraft flight to the point of connection for two aircrafts. Starting with the delay time for one of the aircraft, the problem was simplified to the simultaneous problem setting in order to distinguish the rational element of the objectively existing optimal values (aircraft flight speeds, thus, covered distances) determination. The criterion of the optimization was chosen as an economical one (minimal flight cost). The solution has been obtained with the help of the parametric relation between the criterion (the minimal cost) and the optimized value of the distance flown by the aircraft. Fortunately, due to this, the parametric approach yielded the sought solution. Summarized aspects of human factor, safety system analysis, internal active participant vs. external contemplation observer, theorem vs. axiom/postulate, Weber-Fechner Law as well as Jacob Bernoulli Law are discussed. Numerical simulation is conducted, the necessary diagrams are plotted.

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Theory of Subjective Preferences Entropy in Application to Air Transportation Technologies: Rational Recombination of Resources

  • Andriy Goncharenko

摘要

The paper deals with the combined problem of the subjective analysis grounded upon the important parameters of the air transportation technologies resources recombination. It is considered the time of the aircraft flight to the point of connection for two aircrafts. Starting with the delay time for one of the aircraft, the problem was simplified to the simultaneous problem setting in order to distinguish the rational element of the objectively existing optimal values (aircraft flight speeds, thus, covered distances) determination. The criterion of the optimization was chosen as an economical one (minimal flight cost). The solution has been obtained with the help of the parametric relation between the criterion (the minimal cost) and the optimized value of the distance flown by the aircraft. Fortunately, due to this, the parametric approach yielded the sought solution. Summarized aspects of human factor, safety system analysis, internal active participant vs. external contemplation observer, theorem vs. axiom/postulate, Weber-Fechner Law as well as Jacob Bernoulli Law are discussed. Numerical simulation is conducted, the necessary diagrams are plotted.