CONTROL SYSTEMS
SECURITY ISSUES
V. M. Vishnevsky, D. V. Kozyrev, V. V. Rykov, D. P. Nguyen "Reliability Modeling of an Unmanned High-Altitude Module of a Tethered Telecommunication Platform"
COMPUTER GRAPHICS
PATTERN RECOGNITION
INTELLIGENT SYSTEMS
ИНТЕЛЛЕКТУАЛЬНЫЙ АНАЛИЗ ТЕКСТОВ
V. M. Vishnevsky, D. V. Kozyrev, V. V. Rykov, D. P. Nguyen "Reliability Modeling of an Unmanned High-Altitude Module of a Tethered Telecommunication Platform"
Abstract. 

We perform reliability modeling of a high-altitude module of a tethered telecommunication platform as a heterogeneous k-out-of-n system. Several variants of such a model are considered, including the ones, taking into account the dependence of system failures on the configuration of the failed components, and taking into account the redistribution of load between the remaining workable components. An algorithm has been developed that allows to calculate the reliability function of such a system, the average value and variance of its uptime, and the quantiles of the uptime distribution function.

Keywords: 

High-altitude tethered telecommunication platforms, k-out-of-n systems, reliability modeling.

PP. 26-38.

DOI 10.14357/20718632200403
 
References

1. S. Kiribayashi, K. Yakushigawa, K. Nagatani. Design and Development of Tether-Powered Multirotor Micro Unmanned Aerial Vehicle System for Remote-Controlled Construction Machine. Springer // Field and Service Robotics, 2018, pp. 637-648.
2. G. Wang, W. Samarathunga, S. Wang. Uninterruptible Power Supply Design for Payload Tethered Hexaroters // International Journal of Emerging Engineering Research and Technology, Volume 4, Issue 2, 2016, pp. 16-21.
3. V.M. Vishnevsky. D.V. Efrosinin, A. Krishnamoorthy. Principles of Construction of Mobile and Stationary Tethered High-Altitude Unmanned Telecommunication Platforms of Long-Term Operation. // Communications in Computer and Information Science, 2018.Volume 919. Springer, Cham, Pp. 561-569. DOI:10.1007/978-3-319-99447-5.
4. V. Vishnevsky, R. Meshcheryakov. Experience of Developing a Multifunctional Tethered High-Altitude UnmannedPlatform of Long-Term Operation / Lecture Notes in Computer Science. 2019. Springer, V. 11659. pp.236-244.
5. V. M. Vishnevsky, B. N. Tereschenko, D. A. Tumchenok, A. M. Shirvanyan, and Alexander Sokolov. Principles of Building a Power Transmission System for Tethered Unmanned Telecommunication Platforms // Lecture Notes in Computer Science. Springer, 2019. Vol. 11965. p.94-110.
6. V. M. Vishnevskiy, A. M. Shirvanyan and D. A. Tumchenok. Mathematical Model of the Dynamics of Operation of the Tethered High-Altitude Telecommunication Platform in the Turbulent Atmosphere. //Systems of Signals Generating and Processing in the Field of on Board Communications, IEEE Xplore, 2019, pp.1-7. DOI: 10.1109/SOSG.2019.8706784
7. V. M. Vishnevskiy Matematicheskie metody proektirovanija i opyt realizacii privjaznyh vysotnyh bespilotnyh telekommunikacionnyh platform [Mathematical design methods and implementation experience of tethered high-altitude unmanned telecommunication platforms] / Trudy 13-go Vserossijskogo soveshhanija po problemam upravlenija [Proceedings of the 13th All-Russian meeting on control problems] (VSPU XIII, Moscow, 2019), M.: ICS RAS, 2019. P. 40-42.
8. V.M. Vishnevsky, A.M. Shirvanyan, N.N. Bryashko. Raschet neobkhodimoy moshchnosti dlya funktsionirovaniya privyaznoy bespilotnoy platformy v usloviyakh turbulentnoy atmosfery [Calculation of the required power for the operation of a tethered unmanned platform in a turbulent atmosphere] // Informacionnye tekhnologii I vichslitel’nye sistemy ( Journal of Information Technologies and Computing Systems). N 3. 2020. Pp. 71-78.
9. Shepherd, D.K. (2008). k-out-of-n systems. In F, Ruggeri, R. Kenett & F.W. Faltin (eds.), Encyclopedia of statistics in quality and reliability. Chichester, England: Wiley.
10. K.S. Trivedi, Probability and Statistics with Reliability, Queuing and Computer Science Applications. // Wiley, New York, 2016. DOI:10.1002/9781119285441
11. S. R. Chakravarthy, A. Krishnamoorthy and P. V. Ushakumari. A (k-out-of-n) reliability system with an unreliable server and Phase type repairs and services: The (N, T) policy. // Journal of Applied Mathematics and Stochastic Analysis; 14(4): 361-380, 2001.
12. T. Zhang, M Xie, and M, Horigome. Availability and reliability of (k-out-of- (M+N)): warm standby systems. // Reliability Engineering & System Safety 91: 381-387, 2006.
13. I. Gertsbakh, Y. Shpungin. Reliability Of Heterogeneous ((k, r)-out-of-(n, m)) System. Reliability: Theory & Applications, No. 3(42), vol-11, Sept-2016, pp. 8-10.
14. A. Lisnianski, G. Levitin. Multi-State System Reliability: Assessment, Optimization and Application. World Scientific. Springer, 2003
15. I. Ushakov. A universal generating function // Sov. J. Comput. Syst. Sci. (1986) 24: 37-49.
16. I. Ushakov. Optimal standby problem and a universal generating function // Sov. J. Comput. Syst. Sci. (1987) 25: 61-73.
17. G. Levitin. The universal generating function in reliability analysis and optimization. Springer Series in Reliability Engineering. Springer-Verlag London Limited 2005.
18. T. Yuge, M Maruyama, and S. Yanagi. Reliability of a (k-out-of-n) system with common-cause failures using multi-variate exponential distribution. // Procedia Computer Science 96: 968-976, (2016).
19. W. Kuo, M.J. Zuo. Optimal reliability modeling: principles and applications. // New York: Wiley; 2003.
20. K.H. Wang, W.L. Chen, D.Y. Yang. Optimal management of the machine repair problem with working vacation: Newton's method. // Computational and Applied Mathematics 233: 449-458, (2009).
21. J.C. Ke, Y.L. Hsu, T.H. Liu, Z.G. Zhang. Computational analysis of machine repair problem with unreliable multi-repairmen. // Computers and Operations Research 40: 848-855, (2013).
22. K.H. Wang, J.B. Ke, J.C. Ke. Profit analysis of the M/M/R machine repair problem with balking, reneging, and standby switching failures. // Computers and Operations Research 34: 835-847, 2007.
23. H.G.K. Houankpo, D.V. Kozyrev. Imitatsionnaya model' rascheta statsionarnykh veroyatnostey sistemy tipa k iz n s proizvol'nymi raspredeleniyami vremeni bezotkaznoy raboty i remonta yeyo elementov [A simulation model for calculating the stationary probabilities of a system of type k-out-of-n with arbitrary distributions of uptime and repair of its elements] / Materialy Vserossiyskoy konferentsii s mezhdunarodnym uchastiyem "Informatsionno-telekommunikatsionnyye tekhnologii i matematicheskoye modelirovaniye vysokotekhnologichnykh sistem'' [Materials of the All-Russian Conference with International Participation "Information and telecommunication technologies and mathematical modeling of high-tech systems''] (Moscow, 2019). M.: RUDN, 2019. 119-126.
24. H.G.K. Houankpo, D.V. Kozyrev. Programmnyy kompleks dlya imitatsionnogo modelirovaniya i otsenki nadozhnosti sistem tipa k iz n s proizvol'nymi iskhodnymi raspredeleniyami [A software package for simulation and reliability assessment of systems of type k-out-of-n with arbitrary initial distributions] / Materialy Vserossiyskoy konferentsii s mezhdunarodnym uchastiyem "Informatsionno-telekommunikatsionnyye tekhnologii i matematicheskoye modelirovaniye vysokotekhnologichnykh sistem'' [Materials of the All-Russian Conference with International Participation "Information and telecommunication technologies and math-ematical modeling of high-tech systems''] (Moscow, 2019). M.: RUDN, 2019. 113-118.
25. D.V. Kozyrev, D.P. Nguyen. Raschet kharakteristik nadozhnosti lotnogo modulya privyaznoy mul'tirotornoy bespilotnoy vysotnoy platformy na osnove geksakoptera / Raspredelennyye komp'yuternyye i telekommunikatsionnyye seti: upravleniye, vychisleniye, svyaz' (DCCN-2019) [Calculation of the reliability charac-teristics of the flight module of a tethered multi-rotor unmanned high-altitude platform based on a hexacopter / Distributed Computer and Communication Networks: Control, Computation, Communications (DCCN-2019)]. Materialy XXII Mezhdunarodnoy nauchnoy konferentsii [Materials of the XXII International Scientific Conference]. M.: RUDN, 2019. 504-513.
26. M.S. Moustafa. Availability of K-out-of-N: G Systems with Exponential Failure and General Repairs // Economic Quality Control. Vol. 16 (2001). No.1. P. 75-82.
27. D.G. Linton, J.G. Saw. Reliability analysis of the k-out-of-n: f system, IEEE Trans. Reliab. R-23 (1974) 97-103.
28. V.V. Rykov, Tran Anh Nghia. O chuvstvitel'nosti kharakteristik nadozhnosti sistem k vidu funktsiy raspredeleniya vremeni bezotkaznoy raboty i vosstanovleniya ikh elementov [On the sensitivity of reliability characteristics of systems to the form of the distribution functions of uptime and restoration of their elements]. Vestnik RUDN. Seriya Matematika, Informatika, Fizika № 3 [Bulletin of the RUDN University. Series Mathematics, Computer Science, Physics No. 3], 2014, 65-77.
29. D. Efrosinin, V. Rykov, and V. Vishnevskiy. Sensitivity of Reliability Models to the Shape of Life and Repair Time Distributions. (9-th International Conference on Availability, Reliability and Security (ARES 2014), p.430-437. Published in CD: 978-I-4799-4223-7/14, 2014, IEEE. DOI 10.1109/ ARES 2014.65.
30. D. Efrosinin, V. Rykov. Sensitivity Analysis of Reliability Characteristics to the Shape of the Life and Repair Time Distributions. In: Communication in Computer and Information Science, v. 487, pp. 101-112.
31. V. Rykov, V. Itkin. On Sensitivity of Reliability Systems Operating in Random Environment to Shape of their Input Distributions. Reliability: Theory and Applications. Vol. 10, 2015, December. Pp. 71-80.
32. Rykov, V., Kozyrev, D., Zaripova, E. Modeling and simulation of reliability function of a homogeneous hot double redundant repairable system // Proceedings - 31st European Conference on Modelling and Simulation, ECMS 2017, pp. 701-705, 2017. DOI: 10.7148/2017-0701
33. Vladimir Rykov, Dmitry Kozyrev. Analysis of renewable reliability systems by Markovization method / Analytical and Computational Methods in Probability Theory. ACMPT 2017. Lecture Notes in Computer Science, volume 10684. Springer, Cham, Pp.210-220, 2017. DOI: 10.1007/978-3-319-71504-9_19.
34. V. Rykov. On steady state probabilities of renewable system with Marshal–Olkin failure model. Statistical Papers (2018) 59:1577-1588, DOI: 10.1007/s00362-018-1037-6.
35. V. Rykov, E. Zaripova, N. Ivanova, S. Shorgin. On Sensitivity Analysis of Steady State Probabilities of Double Redundant Renewable System with Marshal-Olkin Failure Model, // In: Distributed Computer and Communication Networks. Proceedings. Eds. By Vladimir V. Vishnevskiy and Dmitry V. Kozyrev, Springer, 2018, pp. 234-245
36. Rykov V., Kozyrev D. On Sensitivity of Steady-State Probabilities of a Cold Redundant System to the Shapes of Life and Repair Time Distributions of Its Elements. In: Pilz J., Rasch D., Melas V., Moder K. (eds) Statistics and Simulation. IWS 2015. Springer Proceedings in Mathematics & Statistics, vol 231. Springer, Cham, pp. 391-402, 2018. DOI: 10.1007/978-3-319-76035-3_28
37. Kozyrev D.V., Rykov V.V., Kolev N. Reliability Function of Renewable System under Marshall-Olkin Failure Model / Reliability: Theory & Applications, Vol.13, No.1(48). San Diego: Gnedenko Forum, 2018, pp. 39-46
38. Rykov, V., Kozyrev, D. On the reliability function of a double redundant system with general repair time distribution // Applied Stochastic Models in Business and Industry, 35 (2), pp. 191-197, 2019. DOI: 10.1002/asmb.2368
39. V. Rykov. On Reliability of Renewable Systems. // In Reliability Engineering. Theory and Applications (Edds.by Ilia Vonta and Mangey Ram) CRC Press. 2018, pp. 173-196.
 
2024 / 01
2023 / 04
2023 / 03
2023 / 02

© ФИЦ ИУ РАН 2008-2018. Создание сайта "РосИнтернет технологии".