This article investigates optimal steady availability of a repairable system with six states. Both preventive maintenance and corrective maintenance are considered in this article. By probability argument, the system is described as an abstract Cauchy problem. Using the method of strong continuous semi-group theory, we derive the steady availability of the system. Finally, the optimal time to carry out preventive maintenance is analysed theoretically and numerical examples are presented.
Bibliographical noteFunding Information:
This work is supported by programme (20060741001) of BIT and Excellent young scholars Research Fund of Beijing Institute of Technology (2007Y0716). And the authors are thankful to Professor Yiguang Hong, Guangtian ZHU (China Academy of Science) for their valuable and constructive suggestions. The authors would also like to thank the referees and associate editor for their helpful comments and suggestions.
- Corrective maintenance
- Preventive maintenance
- Steady availability