Application of Multivariate Control Charts for Condition Based Maintenance

Authors

Department of Industrial Engineering, Yazd University, Yazd, Iran

Abstract

Condition monitoring is the foundation of a condition based maintenance (CBM). To relate the information obtained from the condition monitoring to the actual state of the system, it is usually required a stochastic model. On the other hand, considering the interactions and similarities that exist between CBM and statistical process control (SPC), the integrated models for CBM and SPC have been developed. These models apply control charts as a condition monitoring technique, and the inference about the operational states of the system is based on the collected information about the quality of the produced items. Finally, it is decided whether to implement certain type of maintenance actions. This paper describes the application of multivariate control charts as a condition monitoring technique for CBM purposes. To this end, an integrated model is developed, while it is used a chi-square control chart. Also, to determine the inspection time points, a constant hazard policy is applied.

Keywords


 
  1. Wu, J. and Makis, V., "Economic and economic-statistical design of a chi-square chart for cbm", European Journal of operational research,  Vol. 188, No. 2, (2008), 516-529.
2.     Wang, W., "A simulation-based multivariate bayesian control chart for real time condition-based maintenance of complex systems", European Journal of Operational Research,  Vol. 218, No. 3, (2012), 726-734.
3.     Liu, L., Yu, M., Ma, Y. and Tu, Y., "Economic and economic-statistical designs of an x control chart for two-unit series systems with condition-based maintenance", European Journal of Operational Research,  Vol. 226, No. 3, (2013), 491-499.
4.     Mishra, A. and Jain, M., "Maintainability policy for deteriorating system with inspection and common cause failure", Int J Eng Trans C Basics,  Vol. 26, No. 6, (2013), 371-380.
5.     Rabani, M., Manavizadeh, N. and Balali, S., "A stochastic model for indirect condition monitoring using proportional covariate model",  Vol. 21, (2008), 45-56.
6.     Panagiotidou, S. and Tagaras, G., "Statistical process control and conditionā€based maintenance: A meaningful relationship through data sharing", Production and Operations Management,  Vol. 19, No. 2, (2010), 156-171.
7.     Mehrafrooz, Z. and Noorossana, R., "An integrated model based on statistical process control and maintenance", Computers & Industrial Engineering,  Vol. 61, No. 4, (2011), 1245-1255.
8.     Xiang, Y., "Joint optimization of x¯ control chart and preventive maintenance policies: A discrete-time markov chain approach", European Journal of Operational Research,  Vol. 229, No. 2, (2013), 382-390.
9.     Panagiotidou, S. and Tagaras, G., "Optimal integrated process control and maintenance under general deterioration", Reliability Engineering & System Safety,  Vol. 104, (2012), 58-70.
10.   Yin, H., Zhang, G., Zhu, H., Deng, Y. and He, F., "An integrated model of statistical process control and maintenance based on the delayed monitoring", Reliability Engineering & System Safety, Vol. 133, (2015), 323-333.
11.   Panagiotidou, S. and Nenes, G., "An economically designed, integrated quality and maintenance model using an adaptive shewhart chart", Reliability Engineering & System Safety,  Vol. 94, No. 3, (2009), 732-741.
12.   Ardakan, M.A., Hamadani, A.Z., Sima, M. and Reihaneh, M., "A hybrid model for economic design of mewma control chart under maintenance policies", The International Journal of Advanced Manufacturing Technology,  Vol. 83, No. 9-12, (2016), 2101-2110.
13.   Jamshidi, R. and Maadi, M., "Maintenance and work-rest scheduling in human-machine system according to fatigue and reliability", International Journal of Engineering,  Vol. 30, No. 1, (2017), 85-92.
14.   Liu, L., Jiang, L. and Zhang, D., "An integrated model of statistical process control and condition-based maintenance for deteriorating systems", Journal of the Operational Research Society,  Vol. 68, No. 11, (2017), 1452-1460.
15.   Munford, A., "Comparison among certain inspection policies", Management Science,  Vol. 27, No. 3, (1981), 260-267.