Modelling of Pilot Activities when Piloting Aircraft

The paper considers the representation of crew activities when piloting an aircraft using Markov chains, including modeling in regular and emergency situations, considering the experience of the crew. A method for assessing the level of pilot experience using a neural network and an algorithm for optimizing the probability matrices of transitions between model states are presented. Examples of modeling for an emergency situation are given, demonstrating the influence of the pilot's level of experience on the result.

1. Lancaster P., Tismenetsky M. The Theory of Matrices: With Applications. Elsevier, 1985. 570 pp.
2. Wilkinson J.H., The Algebraic Eigenvalue Problem (Clarendon Press, Oxford, 1988).
3. Cramer H., Mathematical Methods of Statistics. Princeton University Press, 1999. 575 pp.
4. Amosov G. G., “On Markovian Perturbations of the Group of Unitary Operators Associated with a Stochastic Process with Stationary Increments,” Theory Prob. Appl. 49, 123–132 (2005).
5. Greshnikov I.I., Kuravsky L.S., Yuryev G.A. (2021). Principles of constructing a software and hardware complex for intellectual support of the crew and assessment of its training level. Modelirovanie i analiz dannykh = Modelling and Data Analysis, 11(2), 5–30. https://doi.org/10.17759/mda.2021110201 (In Russ.)
6. Parlett B.N., The Symmetric Eigenvalue Problem. Prentice-Hall, 1980. 348 pp.
7. Kuravsky L.S., Yuryev G.A., Zlatomrezhev V.I., Yuryeva N.E. Assessing the Aircraft Crew Actions with the Aid of a Human Factor Risk Model. Eksperimental’nayapsikhologiya = Experimental Psychology (Russia), 2020. Vol. 13, No. 2, pp. 153—181. DOI: https://doi.org/10.17759/exppsy.2020130211.
8. Markovskie modeli v zadachakh diagnostiki i prognozirovaniya: Ucheb. posobie / Pod red. L.S. Kuravskogo. – 2-e izd., dop. – M.: Izd-vo MGPPU, 2017. – 197 p.
9. G. Amosov. On Markovian Cocycle Perturbations in Classical and Quantum Probability. Int. J. Math. & Math. Sci., 2003 (54), 3443–3467 (2003).
10. Kuravsky L.S., Yuriev G.A. Adaptive testing as a Markovian process: models and their identification. – Neurocomputers: Development and Application, No. 2, 2011, pp. 21–29 (in Russian).
11. Kuravsky L.S., Greshnikov I.I., Kozyrev A.D., Kosachevsky S.G., Frolova L.I., Zakharcheva A.A. “A mathematical model for representing the related operator professional activities and its relevant diagnostic assessment based on the quantum representations”, Lobachevskii J. Math., 45 (6), (2024) (in print).