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The Semi-Markov Model Process of Operation Primary Measuring Transducers of Complexes with the Possibility of Carrying out Their Checks in Different Ways

Authors: Kuvykin Yu.А., Minagureev N.A., Suprunyuk V.V., Khayrullin R.Z. Published: 21.01.2026
Published in issue: #4(153)/2025  
DOI:

 
Category: Instrument Engineering, Metrology, Information-Measuring Instruments and Systems | Chapter: Metrology and Measurement Assurance  
Keywords: semi-Markov model, measuring equipment, verification, availability coefficient, reliability coefficient, transition probability matrix

Abstract

The assessment of the readiness of modern measuring equipment for its intended use is based on the observation of a variety of parameters, the statistics of which exceed the tolerance field based on various distribution laws. The article formulates the task of determining the effectiveness of metrological support for measuring equipment using the theory of semi-Markov models of their operation. A semi-Markov model of the process of operation of measuring equipment with the possibility of carrying out its checks in various ways is proposed. The model reflects the stationary process of measuring equipment operation, when measuring equipment installed on an object can be verified in ways that differ in the execution procedure (with or without dismantling, using standards or built-in measures). A graph of transitions of measuring equipment during operation in different states and a matrix of probabilities of state transitions are given, the coefficient of reliability of information about the state of measuring equipment and the coefficient of its readiness for its intended use are calculated. According to the results of modeling the operation of measuring equipment, by combining checks carried out in different ways, it is possible to provide the necessary values of the reliability coefficients of information about the condition of measuring equipment and its readiness for its intended use to perform certain tasks

Please cite this article in English as:

Kuvykin Yu.А., Minagureev N.A., Suprunyuk V.V., et al. The semi-Markov model process of operation primary measuring transducers of complexes with the possibility of carrying out their checks in different ways. Herald of the Bauman Moscow State Technical University, Series Instrument Engineering, 2025, no. 4 (153), pp. 18--29 (in Russ.). EDN: MMLQGF

References

[1] Ershov D.S., Galishnikov A.A., Khayrullin R.Z. Simulation of operation of complex technical systems with metrological support. AIP Conf. Proc., 2023, vol. 2791, art. 050017. DOI: https://doi.org/10.1063/5.0143597

[2] Khayrullin R.Z., Galishnikov A.A., Boytsova O.I. Model of operation of computer measuring systems. Izvestiya TulGU. Tekhnicheskie nauki [News of the Tula State University. Technical Sciences], 2022, no. 3, pp. 195--201 (in Russ.). EDN: UCCBES

[3] Sychev E.I., Khramenkov V.N., Shkitin A.D. Osnovy metrologii voennoy tekhniki [Fundamentals of metrology of military equipment]. Moscow, Voenizdat Publ., 1993.

[4] Ershov D.S., Khayrullin R.Z. Mathematical model of the workplace of measuring instruments verification as a non-stationary service system. Izvestiya vysshikh uchebnykh zavedeniy. Priborostroenie [Journal of Instrument Engineering], 2022, vol. 65, no. 10, pp. 701--711 (in Russ.). DOI: https://doi.org/10.17586/0021-3454-2022-65-10-701-711

[5] Mishchenko V.I., Kravtsov A.N., Mamleev T.F. A semi-Markov model of the functioning of redundant measuring instruments relative to the frequency of verification. Meas. Tech., 2021, vol. 64, no. 4, pp. 289--295. DOI: https://doi.org/10.1007/s11018-021-01931-3

[6] Khayrullin R.Z. Semi-Markov model of operation and updating the measuring equipment fleet. Vestnik metrologa, 2023, no. 1, pp. 11--17 (in Russ.). EDN: INGCCG

[7] Ershov D.S., Malakhov A.V., Talalai A.V., et al. Analysis of operation models of complex technical systems. Meas. Tech., 2023, vol. 66, no. 7, pp. 461--474. DOI: https://doi.org/10.1007/s11018-023-02248-z

[8] Khayrullin R.Z. Optimization of operational and renewal processes for a measuring equipment fleet. Meas. Tech., 2022, vol. 65, no. 8, pp. 569--576. DOI: https://doi.org/10.1007/s11018-023-02122-y

[9] Jiang D., Chen T., Xie J., et al. A mechanical system reliability degradation analysis and remaining life estimation method --- with the example of an aircraft hatch lock mechanism. Reliab. Eng. Syst. Saf., 2023, vol. 230, art. 108922. DOI: https://doi.org/10.1016/j.ress.2022.108922

[10] Yan X., Tang G., Wang X. Bearing performance degradation assessment based on the continuous-scale mathematical morphological particle and feature fusion. Measurement, 2022, vol. 188, art. 110571. DOI: https://doi.org/10.1016/j.measurement.2021.110571

[11] Yan T., Lei Y., Li N., et al. Degradation modeling and remaining useful life prediction for dependent competing failure processes. Reliab. Eng. Syst. Saf., 2021, vol. 212, art. 107638. DOI: https://doi.org/10.1016/j.ress.2021.107638

[12] Voeyko O.A., Popova Yu.S., Khayrullin R.Z. To design of complex technical systems with metrological support. Izvestiya TulGU. Tekhnicheskie nauki [News of the Tula State University. Technical Sciences], 2024, no. 7, pp. 92--97 (in Russ.). EDN: CFFQCT

[13] Romero E., Berenguer Ch., Martinez J. Long-term degradation estimation of wind turbine drive-train under a gain-scheduling control strategy according to the weather conditions. IFAC-PapersOnLine, 2022, vol. 55, no. 19, pp. 13--18. DOI: https://doi.org/10.1016/j.ifacol.2022.09.177

[14] Jantara V.L., Basoalto H., Papaelias M. A damage mechanics approach for lifetime estimation of wind turbine gearbox materials. Int. J. Fatigue, 2020, vol. 137, art. 105671. DOI: https://doi.org/10.1016/j.ijfatigue.2020.105671

[15] Ershov D.S., Khayrullin R.Z. Practical application of workplace models for verification of measuring instruments as non-stationary service systems. Izvestiya vysshikh uchebnykh zavedeniy. Priborostroenie [Journal of Instrument Engineering], 2023, vol. 66, no. 12, pp. 1023--1034 (in Russ.). DOI: https://doi.org/10.17586/0021-3454-2023-66-12-1023-1034

[16] Merainani B., Laddada S., Bechhoefer E., et al. An integrated methodology for estimating the remaining useful life of high-speed wind turbine shaft bearings with limited samples. Renew. Energy, 2022, vol. 182, pp. 1141--1151. DOI: https://doi.org/10.1016/j.renene.2021.10.062

[17] Romero E.E., Martinez J.J., Berenguer C. Degradation of a wind-turbine drive-train under turbulent conditions: effect of the control law. 5th SysTol., 2021, рр. 335--340. DOI: https://doi.org/10.1109/SysTol52990.2021.9595837

[18] Khayrullin R.Z. A probabilistic physico-chemical diffusion model of the key drifting parameter of measuring equipment. Axioms, 2024, vol. 13, no. 1, art. 41. DOI: https://doi.org/10.3390/axioms13010041

[19] Ershov D.S., Malahov A.V., Levina T.A., et al. Model of operation of computer measuring system. J. Phys.: Conf. Ser., 2022, vol. 2388, art. 012040. DOI: https://doi.org/10.1088/1742-6596/2388/1/012040

[20] rshov D.S., Malahov A.V., Levina T.A., et al. To simulating the functioning of workplace for the verification of measuring instruments. J. Phys.: Conf. Ser., 2022, vol. 2388, art. 012147. DOI: https://doi.org/10.1088/1742-6596/2388/1/012147

[21] Khayrullin R.Z., Nikitina I.A. Investigation of semi-Markov models of special equipment operation. Dinamika slozhnykh system --- XXI vek [Dynamics of Complex Systems --- XXI Century], 2019, vol. 13, no. 1, pp. 5--12 (in Russ.). EDN: ZIKUFN