Skip to main content
Log in

Manufacturing system maintenance based on dynamic programming model with prognostics information

  • Published:
Journal of Intelligent Manufacturing Aims and scope Submit manuscript

Abstract

The traditional maintenance strategies may result in maintenance shortage or overage, while deterioration and aging information of manufacturing system combined by single important equipment from prognostics models are often ignored. With the higher demand for operational efficiency and safety in industrial systems, predictive maintenance with prognostics information is developed. Predictive maintenance aims to balance corrective maintenance and preventive maintenance by observing and predicting the health status of the system. It becomes possible to integrate the deterioration and aging information into the predictive maintenance to improve the overall decisions. This paper presents an integrated decision model which considers both predictive maintenance and the resource constraint. First, based on hidden semi-Markov model, the system multi-failure states can be classified, and the transition probabilities among the multi-failure states can be generated. The upper triangular transition probability matrix is used to describe the system deterioration, and the changing of transition probability is used to denote the system aging process. Then, a dynamic programming maintenance model is proposed to obtain the optimal maintenance strategy, and the risks of maintenance actions are analyzed. Finally, a case study is used to demonstrate the implementation and potential applications of the proposed methods.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

References

  • Annibale, P., Rocco, O., Penta, Di, Massimiliano, D. P., & Andrea, D. L. (2015). Improving multi-objective test case selection by injecting diversity in genetic algorithms. IEEE Transactions on Software Engineering, 41(4), 358–383.

    Article  Google Scholar 

  • Bartholomew-Biggs, M., Zuo, M. J., & Li, X. H. (2009). Modeling and optimizing sequential imperfect preventive maintenance. Reliability Engineering and System Safety, 94(1), 53–62.

    Article  Google Scholar 

  • Basten, R. J. I., van der Heijden, M. C., & Schutten, J. M. J. (2012). Joint optimization of level of repair analysis and spare parts stocks. European Journal of Operational Research, 222(3), 474–483.

    Article  Google Scholar 

  • Christer, A. H. (1999). Developments in delay time analysis for modeling plant maintenance. Journal of the Operational Research Society, 50, 1120–1137.

    Article  Google Scholar 

  • Fitouhi, M. C., & Nourelfath, M. (2012). Integrating noncyclical preventive maintenance scheduling and production planning for a single machine. International Journal of Production Economics, 136(1), 344–351.

    Article  Google Scholar 

  • Fitouhi, M. C., & Nourelfath, M. (2014). Integrating noncyclical preventive maintenance scheduling and production planning for multi-state systems. Reliability Engineering and System Safety, 121, 175–186.

    Article  Google Scholar 

  • Huynh, K. T., Castro, I. T., Barros, A., & Bérenguer, C. (2012). Modeling age-based maintenance strategies with minimal repairs for systems subject to competing failure modes due to degradation and shocks. European Journal of Operational Research, 218(1), 140–151.

    Article  Google Scholar 

  • Jafari, L., & Makis, V. (2015). Joint optimal lot sizing and preventive maintenance policy for a production facility subject to condition monitoring. International Journal of Production Economics, 169, 156–168.

    Article  Google Scholar 

  • Jafari, L., & Makis, V. (2016). Optimal lot-sizing and maintenance policy for a partially observable production system. Computers and Industrial Engineering, 93, 88–98.

    Article  Google Scholar 

  • Kenne, J. P., & Nkeungoue, L. J. (2008). Simultaneous control of production, preventive and corrective maintenance rates of a failure-prone manufacturing system. Applied Numerical Mathematics, 58(2), 180–194.

    Article  Google Scholar 

  • Li, R., & Ryan, J. K. (2011). A Bayesian inventory model using real-time condition monitoring information. Production and Operations Management, 20(5), 754–771.

  • Liu, Q. M., Dong, M., Lv, W. Y., Geng, X. L., & Li, Y. P. (2015). A novel method using adaptive hidden semi-Markov model for multi-sensor monitoring equipment health prognosi. Mechanical Systems and Signal Processing, 64–65, 217–232.

    Article  Google Scholar 

  • Liu, Q. M., Dong, M., & Peng, Y. (2013). A dynamic predictive maintenance model considering spare parts inventory based on hidden semi-Markov model. Journal of Mechanical Engineering Science, 227(9), 2090–2103.

    Article  Google Scholar 

  • Lu, Z. Q., Cui, W. W., & Han, X. L. (2015). Integrated production and preventive maintenance scheduling for a single machine with failure uncertainty. Computers and Industrial Engineering, 80, 236–244.

    Article  Google Scholar 

  • Marseguerra, M., Zio, E., & Podofillini, L. (2002). Condition-based maintenance optimization by means of genetic algorithms and Monte Carlo simulation. Reliability Engineering and System Safety, 77(2), 151–166.

    Article  Google Scholar 

  • Molavi, H., & Zahiri, A. (2015). Condition monitoring and fault diagnosis of an MR load tap changer using oil analysis data. Journal of Engineering Research, 3(2), 41–58.

    Article  Google Scholar 

  • Park, C. W., & Lee, H. S. (2011). A multi-class closed queuing maintenance network model with a parts inventory system. Computers & Operations Research, 38(11), 1584–1595.

    Article  Google Scholar 

  • Rausch, M., & Liao, H. T. (2010). Joint production and spare part inventory control strategy driven by condition based maintenance. IEEE Transaction on Reliability, 59(3), 507–516.

    Article  Google Scholar 

  • Van Horenbeek, A., Bure, J., Cattrysse, D., Pintelon, L., & Vansteenwegen, P. (2013). Joint maintenance and inventory optimization systems: A review. International Journal of Production Economics, 143(2), 499–508.

    Article  Google Scholar 

  • Wang, W. B. (2011). A joint spare part and maintenance inspection optimisation model using the delay-time concept. Reliability Engineering and System Safety, 96(11), 1535–1541.

    Article  Google Scholar 

  • Wang, W. B. (2012). A stochastic model for joint spare parts inventory and planned maintenance optimization. European Journal of Operational Research, 216(1), 127–139.

    Article  Google Scholar 

  • Wang, L., Chu, J., & Mao, W. J. (2008). A condition-based order-replacement policy for a single-unit system. Applied Mathematical Modelling, 32, 2274–2289.

    Article  Google Scholar 

  • Wang, W., Scarf, P. A., & Smith, M. A. J. (2000). On the application of a model of condition-based maintenance. Journal of the Operational Research Society, 51, 1218–1227.

    Article  Google Scholar 

  • Wang, X., Wang, H. W., & Qi, C. (2016). Multi-agent reinforcement learning based maintenance policy for a resource constrained flow line system. Journal of Intelligent Manufacturing, 27(2), 325–333.

    Article  Google Scholar 

  • Wang, Y. H., Deng, C., Wu, J., & Xiong, Y. (2015). Failure time prediction for mechanical device based on the degradation sequence. Journal of Intelligent Manufacturing, 26(6), 1181–1199.

    Article  Google Scholar 

  • Wu, F., Wang, T., & Lee, J. (2010). An online adaptive condition-based maintenance method for mechanical systems. Mechanical Systems and Signal Processing, 24(8), 2985–2995.

    Article  Google Scholar 

  • Zhong, C., & Jin, H. (2014). A novel optimal preventive maintenance policy for a cold standby system based on semi-Markov theory. European Journal of Operational Research, 232(2), 405–411.

    Article  Google Scholar 

Download references

Acknowledgements

The work presented in this paper has been supported by Grants from National Natural Science Foundation of China (Nos. 71471116, 71131005 and 71271138), “Pu Jiang” Project (No. 14PJC077) of Science and Technology Commission of Shanghai Municipality, Humanity and Social Science Youth foundation of Ministry of Education of China (No. 15YJCZH096), Hujiang Foundation–Humanity and Social Science “Climbing” Program of University of Shanghai for Science and Technology (No. 16HJPD-B04), Programs of National Training Foundation of University of Shanghai for Science and Technology (No. 16HJPYQN02), Doctoral Startup Foundation Project of University of Shanghai for Science and Technology (No. BSQD201403). Authors are indebted to the reviewers and the editors for their constructive comments which greatly improved the contents and exposition of this paper.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Qinming Liu.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liu, Q., Dong, M., Lv, W. et al. Manufacturing system maintenance based on dynamic programming model with prognostics information. J Intell Manuf 30, 1155–1173 (2019). https://doi.org/10.1007/s10845-017-1314-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10845-017-1314-6

Keywords

Navigation