Optimum Maintenance Policy for a One-Shot System with Series Structure Considering Minimal Repair

Tomohiro Kitagawa, Tetsushi Yuge, Shigeru Yanagi

Department of Electrical and Electronic Engineering, National Defense Academy, Yokosuka, Japan.

DOI: 10.4236/am.2015.62031                

Abstract

One-shot systems such as missiles and extinguishers are placed in storage for a long time and used only once during their lives. Their reliability deteriorates with time even when they are in storage, and their failures are detected only through inspections for their characteristics. Thus, we need to decide an appropriate inspection policy for such systems. In this paper, we deal with a system comprising non-identical units in series, where only minimal repairs are performed when unit failures are detected by periodic inspections. The system is replaced and becomes “as good as new” when the nth failure of the system is detected. Our objective is to find the optimal inspection interval and number of failures before replacement that minimize the expected total system cost per unit of time.

Keywords

One-Shot System, Maintenance Policy, Minimal Repair, Cost Rate

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Barlow, P.E. and Proschan, F. (1965) Mathematical Theory of Reliability. John Wiley & Sons, Hoboken.
[2]	Ito, K. and Nakagawa, T. (1992) Optimal Inspection Policies for a System in Storage. Computers and Mathematics with Applications, 24, 87-90. http://dx.doi.org/10.1016/0898-1221(92)90232-7
[3]	Ito, K. and Nakagawa, T. (2000) Optimal Inspection Policies for a System with Degradation at Periodic Test. Mathematical and Computer Modeling, 31, 191-195.
[4]	Ito, K., Nakagawa, T. and Nishi, K. (1995) Extended Optimal Inspection Policies for a System in Storage. Mathematical and Computer Modelling, 22, 83-78. http://dx.doi.org/10.1016/0895-7177(95)00184-4
[5]	Yun, W.Y., Kim, H.W. and Han, Y.J. (2012) Simulation-Based Inspection Policies for a One-Shot System in Storage. Proceedings of the 5th Asia-Pacific International Symposium, Nanjing, 1-3 November 2012, 621-628.
[6]	Yun, W.Y., Liu, K., Han, Y.J., Rhee, D.W. and Han, C.G. (2013) Simulation-Based Optimal Inspection Schedules for One-Shot Systems with Two Types of Units. Proceedings of 17th International Conference on Industrial Engineering Theory, Applications and Practice, Pusan, 6-9 October 2013, 314-320.
[7]	Yun, W.Y., Zhao, Q. and Kim, H.W. (2014) Optimal Inspection Schedules for One-Shot Systems in Storage with Deployment Plan. Proceedings of the 6th Asia-Pacific International Symposium, Sapporo, 21-23 August, 578-585.
[8]	Nakagawa, T. (2005) Maintenance Theory of Reliability. Springer, London.