Abstract
Mechanical equipment in the process of operation appears a variety of faults due to different reasons. These faults affect the operation of machinery, causing economic losses, moreover, it may cause accidents, or even casualties. Predicting the nature, degree, development trend and position of mechanical faults is of great significance for making fault early warning, changing scheduling scheme and determining optimal maintenance time. This study aims to propose a generalized mechanical fault prediction method under the condition of short data validity. In the aspect of application, this paper hopes to combine the fault prediction with the shop dynamic scheduling, and constructs the mode of forecasting and optimizing the scheduling plan. The results show that the DGM (1,1) model based on amplitude compression is effective on the prediction of oscillation sequence. Markov chain modification could reduce the error greatly. The feasibility of fault prediction by using Grey-Markov chain has been proven by an illustrative example.
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References
Tsui KL, Chen N, Zhou Q, Hai Y, Wang W (2015) Prognostics and health management: a review on data driven approaches. Math Probl Eng 2015:1–17
Luo J, Tu F, Azam MS et al (2003) Intelligent model-based diagnostics for vehicle health management. Proc SPIE Int Soc Opt Eng 5107:13–26
Jain DK, Jain R, Lan X, Upadhyay Y, Thareja A (2021) Driver distraction detection using capsule network. Neural Comput Applic 33(11):6183–6196
Bousdekis A, Magoutas B, Apostolou D, Mentzas G (2018) Review, analysis and synthesis of prognostic-based decision support methods for condition based maintenance. J Intell Manuf 29:1303–1316
Jiang JY, Fan LI, Zeng ZY (2013) Research on standard architecture of prognostics and health management. Measurement Control Technology 32(11):1–5,9
Boškoski P, Gašperin N, Petelin D (2012) Bearing fault prognostics based on signal complexity and Gaussian process models. In: 2012 IEEE Conference on Prognostics and Health Management, pp 1–8
Jain DK, Jain R, Upadhyay Y, Kathuria A, Lan X (2020) Deep Refinement: capsule network with attention mechanism-based system for text classification. Neural Comput & Applic 32(7):1839–1856
Samanta B, Nataraj C (2008) Prognostics of machine condition using energy based monitoring index and computational intelligence. J Comput Inform Sci Eng 9(4):1347–1358
Kumar S, Dolev E, Pecht M (2010) Parameter selection for health monitoring ofelectronic products. Microelectron Reliab 52(2):161–168
Alexandre M, Crespo MA (2007) On the concept of e-maintenance Review and current research. Reliab Eng Syst Saf 93(11):1165–1187
Kiakojoori S, Khorasani K (2016) Dynamic neural networks for gas turbine engine degradation prediction, health monitoring and prognosis. Neural Comput & Applic 27(8):2157–2192
Daroogheh N, Baniamerian A, Meskin N (2017) Prognosis and health monitoringof nonlinear systems using a hybrid scheme through integration of Pfs and neural networks. IEEE Transact Syst Man Cybern Syst 47(8):1990–2004
Jain DK, Zareapoor M, Jain R, Kathuria A, Bachhety S (2020) GAN-Poser: an improvised bidirectional GAN model for human motion prediction. Neural Comput & Applic 32(18):14579–14591
Deng JL (1982) Control problems of grey systems. Syst Control Lett 1(5):288–294
Dang YG, Liu SF (2004) Study on the Buffer Weakening Operator. Chin J Manag Sci 12(2):108–111
Wu D, Dong J, Shi L, Liu C, Ding J (2020) Credibility assessment of good abandonment results in mobile search. Inf Process Manag 57(6):102350
Xie NM, Liu SF (2003) A new practical weakening buffer operator. Proc China Manag Sci Confer 2003:3
Michailidis IT, Kapoutsis AC, Korkas CD, Michailidis PT, Alexandridou KA, Ravanis C, Kosmatopoulos EB (2021) Embedding autonomy in large-scale IoT ecosystems using CAO and L4G-CAO. Discov Internet Things 1:8
Chen CK, Tien TL (1997) The indirect measurement of tensile strength by the deterministic grey dynamic model DGDM(1,1,1). Int J Syst Sci 28(7):683–690
Liang X (2016) A markov copula model with regime switching and its application. Acta Math App Sinica32(01):163–174
Aceto G, Bovenzi G, Ciuonzo D, Montieri A, Persico V, Pescapé A (2021) Characterization and prediction of mobile-app traffic using markov modeling. IEEE Trans on Net and Ser Mana 18(1):907–925
Duan JL, Feng J, Zhang QS et al (2017) Predicting urban medical services demand in China: an improved Grey Markov Chain Model by Taylor Approximation. Int J Environ Res Public Health 14(8):883
Ye J, Dang YG, Li BJ (2018) Grey Markov prediction model based on background value optimization and central-point triangular whitenization weight function. Common Nolinear Sci Numer Simulat 54:320–330
Zhang C, Li J, Hu T, Zhang Y (2019) Appliaction of grey verhulst in settlement prediction of foundation pit. J Een Geo 27(s1):37–45
Qian WY, Dang YG (2009) GM (1,1) model based on oscillation sequence. Syst Eng Theory Pract 29(3):93–98
Xiang YL (2004) Study on modeling method of grey swing sequence. Environ Sci Technol 10(1):5–8
Xiang YL (1998) GM (1,1) fitting modeling method for grey swing sequence and its application. ChemEnviron Protect 18(5):299–302
Zeng B, Meng W (2012) Standardization of interval grey number and research on its prediction modeling and application. Control Decis 27(5):773–776
Zhou Y, Yang JJ, Zheng LY (2019) Hyper-Heuristics coevolution of machine assignment and Job sequencing rules for multi objective dynamic flexible job shop scheduling. IEEE Acces 7:68–88
Zhang S, Wong TN (2017) Flexible Job-shop scheduling in dynamic environment: a hybrid MAS/ACO approach. Int J Prod Res 55(11):3173–3196
Nouiri M, Bekrar A (2017) Two Stage particle swarm optimization to solve the Flexible job shop predictive scheduling problem considering possible machine breakdowns. Comput Ind Eng 112:595–606
Nasr A, ElMekkawy TY (2011) Robust and stable flexible job shop scheduling with random machine breakdowns using a hybrid genetic algorithm. Int J Prod Econ 132(2):279–291
Acknowledgements
This work was supported by National Natural Science Foundation of China: Research on mining and dynamic optimization of machinery manufacturing process supporting the integration of process planning and workshop scheduling (ID: U1904186), National Natural Science Foundation of China (ID:71801085), Henan Province Soft Science Research Project: Construction and Management Countermeasures of Henan technological innovation center in the new era (ID: 202400410019), Henan Province Soft Science Research Project: Evaluation and Countermeasures of Technology Transfer Status in Henan Province (ID: 202400410211), Henan Province Major project of Applied Research on philosophy and Social Sciences (2018-yyzd-04). The authors declare that there is no conflict of interest with any financial organizations regarding the material reported in this manuscript.
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Guo, K., Zhao, J. & Liang, Y. Flow shop failure prediction problem based on Grey-Markov model. Pers Ubiquit Comput 28, 207–214 (2024). https://doi.org/10.1007/s00779-021-01618-0
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DOI: https://doi.org/10.1007/s00779-021-01618-0