Aircraft maintenance system simulation mathematical model construction

The development of the aviation transport system is characterized by sophistication of interacting objects, the multi-criteria nature of the tasks to be solved and difficulties in making management decisions. For example, modern medium haul aircraft are fitted with up to 25,000 sensors to monitor the performance capabilities of functional systems components. Numerous ground-based instrumental methods and means of diagnosing the technical condition are used. This requires the development of methods and algorithms for determining and monitoring the criteria of limiting state of the monitored components and functional systems of aeronautical equipment. In this regard, analytical models of predictive estimate for the technical condition of aeronautical equipment, determination of aircraft maintenance modes and provision of spare parts and materials become essential. The paper proposes a scheme of the aircraft fleet maintenance system modeling algorithm and deducing the mathematical model of the optimal number of aircraft states in order to exclude secondary and subjective factors. The method of statistical modeling based on Markov processes with discrete states and continuous time is the basis of the proposed analytical model. The proposed method is reduced to the synthesis of some modeling algorithm of the investigated process that simulates the complex system components behavior and interaction as well as random perturbing factors. A distinctive feature of the presented algorithm is determination of the predominant estimated dependences of transition probabilities and intensities taking into account the requirements of the modern regulatory framework in terms of reliability of equipment and diagnosing the technical condition. The analysis of the predominant estimated dependencies study results in the conditions of operation of the aircraft maintenance system confirmed a high degree of correlation of the time duration effect on the particular states in order to diagnose the technical condition depending on the diagnostic concept. The proposed simulation model can be used for the aircraft technical condition predictive estimate, aircraft gas turbine engines and functional systems.

1. Shcherbatov, I.A. (2015). Upravleniye slaboformalizuyemymi mnogokomponentnymi sistemami na osnove agentnykh tekhnologiy: avtoref. dis. … dokt. tekhn. nauk [Weak-focusing multi-component systems management based on agent technologies Doctor of Technical Sciences Disserta-tion Abstract]. Astrakhan, 32 p. (in Russian)

2. Rastrigin, L.A. (1981). Adaptatsiya slozhnykh sistem [Complex systems adaptation]. Riga: Zinatne, 375 p. (in Russian)

3. Kuznetsov, S.V. (2017). Mathematical models of processes and systems of technical operation for onboard complexes and functional systems of avionics. Civil Aviation High Technologies, vol. 20, no. 1, pp. 132–140. (in Russian)

4. Gerasimova, E.D., Smirnov, N.N. and Oidov, N. (2017). The effect of reliability of functional systems on the efficiency of the technical operation of the aircraft. Civil Aviation High Tech-nologies, vol. 20, no. 1, pp. 45–52. (in Russian)

5. Kiselev, D.Yu. and Kiselev, Yu.V. (2015). An integrated approach for modelling of aircraft maintenance processes. Nauchnyy Vestnik MGTU GA, no. 219 (9), pp. 33–40. (in Russian)

6. Buslenko, N.P. (1968). Modelirovaniye slozhnykh sistem [Complex systems modeling]. Moscow: Nauka, 356 p. (in Russian)

7. Itskovich, A.A., Aleksanyan, A.R. and Feinburg, I.A. (2015). The construction of mathematical model of processes of maintenance of aircraft engineering as a closed service system. Nauchnyy Vestnik MGTU GA, no. 219 (9), pp. 46–52. (in Russian)

8. Itskovich, A.A. and Kabkov, M.A. (2005). Veroyatnostno-statisticheskiye modeli: uchebnoye posobiye. Chast 2 [Probability and statistical models. Training manual. Part 2]. Moscow: MSTU GA, 118 p. (in Russian)

9. Sovetov, B.Ya. and Yakovlev, S.A. (2001). Modelirovaniye system: uchebnik dlya VUZ [Modeling of systems: Textbook for Universities]. 3rd ed., pererab. i dop. Moscow: Vysshaya shkola, 343 p. (in Russian)

10. Wentzel, E.S. (1972). Issledovaniye operatsiy [Operation research]. Moscow: Sovetskoye radio, 552 p. (in Russian)

11. Emelin, N.M. (1995). Otrabotka sistem tekhnicheskogo obsluzhivaniya letatelnykh apparatov [Development of aircraft maintenance systems]. Moscow: Mashinostroyeniye, 128 p. (in Russian)

12. Akof, R. and Sasieni, M. (1971). Osnovy issledovaniya operatsiy [Fundamentals of operations research]. Moscow: Mir, 534 p. (in Russian)

13. Gorsky, V.G., Adler, Yu.P. and Talalay, A.M. (1978). Planirovaniye promyshlennykh eksperimentov [Industrial experiments planning]. Moscow: Metallurgiya, 112 p. (in Russian)

14. Lychkina, N.N. (2006). Sovremennye tekhnologii imitatsionnogo modelirovaniya i ikh primeneniye v informatsionnykh biznes-sistemakh [Modern technologies of simulation modeling and their application in information business systems]. Novyye informatsionnyye tekhnologii: tezisy XIV Mezhdunarodnoy shkoly-seminara [New Information Technologies: Abstracts of the XIV International School-Seminar], vol. 1, pp. 64–73. (in Russian)

15. Machalin, I.A., Konakhovich, G.F. and Tkalich, O.P. (2002). Approksimatsiya odnogo klassa sluchaynykh protsessov v zadachakh kontrolya radioelektronnykh sistem [Approximation of one class random processes in the problems of radio-electronic systems control]. Materialy IV mezhdunarodnoy nauchno-tekhnicheskoy konferentsii «AVIA-2002» [Proceedings of the IV international scientific and technical conference "AVIA-2002"]. Kiev, pp. 67–69. (in Russian)

16. Bronnikov, A.M. and Morozov, D.V. (2017). Process of changes of maintenance-free onboard system operational status between scheduled maintenances. Civil Aviation High Technologies, vol. 20, no. 1, pp. 152–158. (in Russian)

17. Machalin, I.A. (2005). Matematicheskiye modeli strategiy tekhnicheskogo obsluzhivaniya sovremennoy avioniki [Mathematical models of maintenance strategies for modern avionics]. Matematicheskiye mashiny i sistemy, no. 2, pp. 130–139. (in Russian)

18. Avduevsky, V.S. and others. (Eds.). (1988). Nadezhnost i effektivnost v tekhnike: spravochnik v 10 tomakh [Reliability and efficiency in engineering]. T. 3: Effektivnost tekhnicheskikh system [Vol. 3: The effectiveness of technical systems], in Utkin V.F., Kryuchkov Yu.V. (eds.), 328 р. (in Russian)

19. Fadeev, Yu.M. and Dondorev, M.S. (1997). Matematicheskoye modelirovaniye protsessov tekhnicheskoy ekspluatatsii letatelnykh apparatov v podgotovitelnoy faze ikh ekspluatatsii pri boyevoy podgotovke i dlitelnom vedenii boyevykh deystviy [Mathematical modeling of the aircraft maintenance during preparation phase of their operation during combat training and long military operations]. Otchet o NIR VVIA im. N.E. Zhukovskogo, pp. 27–66. (in Russian)