Delay-aware predictive maintenance control for multi-equipment systems using approximate Bayesian neural reliability networks

Chih-Chiang Fang , Jianbin Wang

Electronic Research Archive ›› 2026, Vol. 34 ›› Issue (9) : 6734 -6771.

PDF (2930KB)
Electronic Research Archive ›› 2026, Vol. 34 ›› Issue (9) :6734 -6771. DOI: 10.3934/era.2026294
Research article
research-article
Delay-aware predictive maintenance control for multi-equipment systems using approximate Bayesian neural reliability networks
Author information +
History +
PDF (2930KB)

Abstract

This study proposes a delay-aware predictive maintenance control framework for multiequipment systems operating under dynamic and uncertain industrial environments. The proposed framework integrates a multilayer neural reliability prediction model, an approximate Bayesian reliability updating mechanism, and a rolling-horizon maintenance optimization model to support maintenance decision-making under delayed and asynchronous industrial information. Unlike conventional predictive maintenance approaches that rely primarily on instantaneous observations or static reliability estimation, the proposed framework explicitly models time-varying communication delays, degradation evolution, imperfect maintenance effects, and dynamic state propagation within a closed-loop maintenance control architecture. The proposed methodology first estimates machine failure probabilities using a multilayer neural network trained on heterogeneous operational and degradation-related variables. The predicted reliability is subsequently refined through approximate Bayesian filtering by integrating historical posterior information and delayed observations. Based on the updated reliability trajectories, a rolling-horizon genetic algorithm determines preventive maintenance schedules while considering maintenance capacity, workforce availability, and operational constraints. The optimization objective minimizes the total expected maintenance cost, including preventive maintenance, corrective maintenance, downtime, and reliability penalty costs. Experimental results demonstrate that the proposed framework provides competitive probability prediction performance while achieving superior maintenance cost reduction and improvements in reliability under delayed operating conditions.

Keywords

delay-aware predictive maintenance / approximate Bayesian reliability updating / neural reliability prediction / preventive maintenance scheduling / multiequipment systems / smart manufacturing

Cite this article

Download citation ▾
Chih-Chiang Fang, Jianbin Wang. Delay-aware predictive maintenance control for multi-equipment systems using approximate Bayesian neural reliability networks. Electronic Research Archive, 2026, 34 (9) : 6734-6771 DOI:10.3934/era.2026294

登录浏览全文

4963

注册一个新账户 忘记密码

References

[1]

J. Li, Z. Zhang, X. Wang, W. Yan, Intelligent decision-making model in preventive maintenance of asphalt pavement based on PSO-GRU neural network, Adv. Eng. Inform., 51 (2022), 101525. https://doi.org/10.1016/j.aei.2022.101525

[2]

A. Nasser, H. Al-Khazraji, A hybrid of convolutional neural network and long short-term memory network approach to predictive maintenance, Int. J. Electr. Comput. Eng., 12 (2022), 721-730. https://doi.org/10.11591/ijece.v12i1.pp721-730

[3]

T. Zonta, C. A. Da Costa, F. A. Zeiser, G. de Oliveira Ramos, R. Kunst, R. da Rosa Righi, A predictive maintenance model for optimizing production schedule using deep neural networks, J. Manuf. Syst., 62 (2022), 450-462. https://doi.org/10.1016/j.jmsy.2021.12.013

[4]

L. Xia, Y. Liang, J. Leng, P. Zheng, Maintenance planning recommendation of complex industrial equipment based on knowledge graph and graph neural network, Reliab. Eng. Syst. Saf., 232 (2023), 109068. https://doi.org/10.1016/j.ress.2022.109068

[5]

S. Apeiranthitis, P. Zacharia, A. Chatzopoulos, M. Papoutsidakis, Predictive maintenance of machinery with rotating parts using convolutional neural networks, Electronics, 13 (2024), 460. https://doi.org/10.3390/electronics13020460

[6]

S. Potharaju, R. K. Tirandasu, S. N. Tambe, D. B. Jadhav, D. A. Kumar, S. S. Amiripalli, A two-step machine learning approach for predictive maintenance and anomaly detection in environmental sensor systems, MethodsX, 14 (2025), 103181. https://doi.org/10.1016/j.mex.2025.103181

[7]

Y. Zhang, Y. Ding, J. Su, L. Yang, Quality-based tool remaining useful life prediction under time-varying processing parameters by windowed sparse-attention transformer, Qual. Reliab. Eng. Int., 2026 (2026). https://doi.org/10.1002/qre.70326

[8]

S. M. Seyedrezaei, S. Mirhashemi, H. Hematian, Integrated maintenance policy optimization in buffered serial production lines using neural networks, Int. J. Syst. Assur. Eng. Manag., 17 (2026), 2101-2115. https://doi.org/10.1007/s13198-025-03052-4

[9]

X. Liu, P. Zhang, H. Shi, Predictive maintenance of petrochemical equipment based on LSTM neural network and vibration signal analysis, Aust. J. Mech. Eng., 2026 (2026), 1-13. https://doi.org/10.1080/14484846.2025.2598194

[10]

W. Liu, G. Dong, M. Zou, Satellite road extraction method based on RFDNet neural network, Electron. Res. Arch., 31 (2023), 4362-4377. https://doi.org/10.3934/era.2023223

[11]

H. C. Wu, Y. C. Tu, P. H. Chen, M. H. Tseng, An interpretable hierarchical semantic convolutional neural network to diagnose melanoma in skin lesions, Electron. Res. Arch., 31 (2023), 1822-1839. https://doi.org/10.3934/era.2023094

[12]

J. Guo, Y. Shi, S. Wang, Synchronization analysis of delayed quaternion-valued memristor-based neural networks by a direct analytical approach, Electron. Res. Arch., 32 (2024), 3377-3395. https://doi.org/10.3934/era.2024156

[13]

X. Zhao, Z. Liang, A. K. Parlikad, M. Xie, Performance-oriented risk evaluation and maintenance for multi-asset systems: A Bayesian perspective, IISE Trans., 54 (2022), 251-270. https://doi.org/10.1080/24725854.2020.1869871

[14]

F. Anderson, R. Dawid, D. McMillan, D. García-Cava, A Bayesian reliability analysis exploring the effect of scheduled maintenance on wind turbine time to failure, Wind Energy, 26 (2023), 879-899. https://doi.org/10.1002/we.2846

[15]

L. Zhuang, A. Xu, X. L. Wang, A prognostic driven predictive maintenance framework based on Bayesian deep learning, Reliab. Eng. Syst. Saf., 234 (2023), 109181. https://doi.org/10.1016/j.ress.2023.109181

[16]

W. Liu, Y. Shao, C. Li, C. Li, Z. Jiang, Development of a non-Gaussian copula Bayesian network for safety assessment of metro tunnel maintenance, Reliab. Eng. Syst. Saf., 238 (2023), 109423. https://doi.org/10.1016/j.ress.2023.109423

[17]

C. C. Fang, L. Ma, W. Kuo, Bayesian analysis enhances sales and warranty strategies for repairable industrial products by considering hybrid deterioration modes, IEEE Access, 13 (2025), 72169-72188. https://doi.org/10.1109/ACCESS.2025.3563938

[18]

A. Cheng, Y. Bi, An integrated data-driven framework for vehicle quality analysis based on maintenance record mining and Bayesian network, Int. J. Qual. Reliab. Manag., 42 (2025), 377-400. https://doi.org/10.1108/IJQRM-03-2023-0114

[19]

M. Xiong, L. Chen, J. Ming, J. Shin, Accelerating the Bayesian inference of inverse problems by using data-driven compressive sensing method based on proper orthogonal decomposition, Electron. Res. Arch., 29 (2021), 3383-3403. https://doi.org/10.3934/era.2021044

[20]

H. Roch, C. Shen, Learning informed prior distributions with normalizing flows for Bayesian analysis, Phys. Rev. C, 113 (2026), 034903. https://doi.org/10.1103/wms4-m4cb

[21]

C. Ling, J. Lei, S. Zhang, D. W. Coit, Reliability modeling of systems under dependent competing failures using bilateral coupling variables, Reliab. Eng. Syst. Saf., 272 (2026), 112625. https://doi.org/10.1016/j.ress.2026.112625

[22]

Y. S. Huang, C. C. Fang, C. M. Lu, T. L. Tseng, Optimal warranty policy for consumer electronics with dependent competing failure processes, Reliab. Eng. Syst. Saf., 222 (2022), 108418. https://doi.org/10.1016/j.ress.2022.108418

[23]

C. Ling, L. Yang, M. Wang, E. Zio, Variational Bayesian inference-assisted approach for multi-objective reliability-based design optimization, Appl. Math. Model., 159 (2026), 117023. https://doi.org/10.1016/j.apm.2026.117023

[24]

P. Djukic, S. Valaee, Delay aware link scheduling for multi-hop TDMA wireless networks, IEEE/ACM Trans. Netw., 17 (2008), 870-883. https://doi.org/10.1109/TNET.2008.2005219

[25]

X. Wang, C. Yuen, X. Chen, N. U. Hassan, Y. Ouyang, Cost-aware demand scheduling for delay tolerant applications, J. Netw. Comput. Appl., 53 (2015), 173-182. https://doi.org/10.1016/j.jnca.2015.04.002

[26]

L. Qu, C. Assi, K. Shaban, Delay-aware scheduling and resource optimization with network function virtualization, IEEE Trans. Commun., 64 (2016), 3746-3758. https://doi.org/10.1109/TCOMM.2016.2580150

[27]

H. Yuan, J. Bi, M. Zhou, A. C. Ammari, Time-aware multi-application task scheduling with guaranteed delay constraints in green data center, IEEE Trans. Autom. Sci. Eng., 15 (2017), 1138-1151. https://doi.org/10.1109/TASE.2017.2741965

[28]

S. Liu, T. Yang, Delay aware scheduling in UAV-enabled OFDMA mobile edge computing system, IET Commun., 14 (2020), 3203-3211. https://doi.org/10.1049/iet-com.2020.0274

[29]

W. K. Lai, Y. C. Wang, S. C. Wei, Delay-aware container scheduling in Kubernetes, IEEE Internet Things J., 10 (2023), 11813-11824. https://doi.org/10.1109/JIOT.2023.3244545

[30]

J. Gao, L. Feng, F. Zhou, M. Dong, P. Yu, K. Ota, et al., Deterministic delay-aware task scheduling over in-network computing: A graph embedding-based DRL approach, IEEE Trans. Netw. Serv. Manag., 23 (2026), 3585-3601. https://doi.org/10.1109/TNSM.2026.3676106

[31]

W. Michiels, V. Van Assche, S. I. Niculescu, Stabilization of time-delay systems with a controlled time-varying delay and applications, IEEE Trans. Autom. Control, 50 (2005), 493-504. https://doi.org/10.1109/TAC.2005.844714

[32]

P. Park, J. W. Ko, Stability and robust stability for systems with a time-varying delay, Automatica, 43 (2007), 1855-1858. https://doi.org/10.1016/j.automatica.2007.02.018

[33]

J. H. Kim, Note on stability of linear systems with time-varying delay, Automatica, 47 (2011), 2118-2121. https://doi.org/10.1016/j.automatica.2011.05.006

[34]

H. B. Zeng, Z. L. Zhai, W. Wang, Hierarchical stability conditions of systems with time-varying delay, Appl. Math. Comput., 404 (2021), 126222. https://doi.org/10.1016/j.amc.2021.126222

[35]

L. Cao, Y. Pan, H. Liang, T. Huang, Observer-based dynamic event-triggered control for multiagent systems with time-varying delay, IEEE Trans. Cybern., 53 (2022), 3376-3387. https://doi.org/10.1109/TCYB.2022.3226873

[36]

C. K. Zhang, W. H. Chen, C. Zhu, Y. He, M. Wu, Stability analysis of discrete-time systems with time-varying delay via a delay-dependent matrix-separation-based inequality, Automatica, 156 (2023), 111192. https://doi.org/10.1016/j.automatica.2023.111192

[37]

Z. Zhang, K. Zhang, X. Xie, V. Stojanovic, ADP-based prescribed-time control for nonlinear time-varying delay systems with uncertain parameters, IEEE Trans. Autom. Sci. Eng., 22 (2024), 3086-3096. https://doi.org/10.1109/TASE.2024.3389020

[38]

M. S. Aslam, H. Bilal, A. V. Vasilakos, Self-triggered scheme design for Takagi-Sugeno fuzzy model based on mismatch premise variable with time-varying delay, IEEE Trans. Autom. Sci. Eng., 22 (2025), 15536-15548. https://doi.org/10.1109/TASE.2025.3570089

[39]

S. Zhu, K. Deng, H. Yan, M. Shen, X. Liu, S. Wen, Mean square exponential stability of dynamic memristor neutral stochastic cellular neural networks with time-varying delays, IEEE Trans. Cybern., 56 (2026), 2829-2840. https://doi.org/10.1109/TCYB.2026.3666768

PDF (2930KB)

0

Accesses

0

Citation

Detail

Sections
Recommended

/

〈 〉