The purpose of this study is to propose and model periodic and sequential preventive maintenance policies for a system that performs various missions over a finite planning horizon. Each mission can have different characteristics that depend on operational and environmental conditions. These proposed preventive maintenance policies are defined and modeled mathematically. The study of these two policies is based on a dynamic system failure law that takes into account the different missions performed. The first step is to determine the optimal business plan to achieve, i.e. the set of missions to perform in order to maximize the profit of missions minus maintenance costs. Thus, for each plan, we determine the maintenance planning considering two policies. The first preventive maintenance policy is periodic and the objective is to determine the optimal number of preventive maintenance to achieve. For the second policy, namely sequential, we calculate the optimal number of preventive maintenance intervals and the duration of these different intervals.
Brown M., Proschan F. (1983) Imperfect repair. Journal of Applied Probability 20(4): 851–859CrossRefGoogle Scholar
Chan J., Shaw L. (1993) Modeling repairable systems with failure rates that depend on age and maintenance. IEEE Transactions on Reliability 42(4): 566–571CrossRefGoogle Scholar
Cox D. R. (1972) Regression models and life-tables. Journal of the Royal Statistical Society 34(2): 187–220Google Scholar
Dedopoulos I., Smeers Y. (1998) An age reduction approach for finite horizon optimization of preventive maintenance. Computers & Industrial Engineering 34(3): 643–654CrossRefGoogle Scholar
Doyen L., Gaudoin O. (2004) Classes of imperfect repair models based on reduction of failure intensity or virtual age. Reliability Engineering and System Safety 84(1): 45–56CrossRefGoogle Scholar
Gasmi S., Love C. E., Kahle W. (2003) A general repair. proportional-hazards. framework to model complex repairable systems. IEEE Transactions on Reliability 52(1): 26–32CrossRefGoogle Scholar
Kijima M., Morimura H., Suzuki Y. (1988) Periodical replacement problem without assuming minimal repair. European Journal of Operational Research 37: 194–203CrossRefGoogle Scholar
Liao, W., Pan, E., & Xi, L. (2009). Preventive maintenance scheduling for repairable system with deterioration. Journal of Intelligent Manufacturing. doi:10.1007/s10845-009-0264-z.
Lin D., Zuo M. J., Yam R. C. M. (2000) General sequential imperfect preventive maintenance models. International journal of Reliability. Quality and Safety Engineering 7(3): 253–266CrossRefGoogle Scholar
Malik M. A. K. (1979) Reliable preventive maintenance scheduling. IIE Transactions 11(3): 221–228CrossRefGoogle Scholar
Martorell S., Sanchez A., Serradell V. (1999) Age-dependent relaibility model considering effects of maintenance and working conditions. Reliability Engineering and System Safety 64(1): 19–31CrossRefGoogle Scholar
Naderi, B., Zandieh, M., & Fatemi Ghomi, S. M. T. (2008). A study on integrating sequence dependent setup time flexible flow lines and preventive maintenance scheduling. Journal of Intelligent Manufacturing. doi:10.1007/s10845-008-0157-6.
Nakagawa T. (1986) Periodic and sequential preventive maintenance policies. Journal of Applied Probability, 23(2): 536–542CrossRefGoogle Scholar
Nakagawa T. (1988) Sequential imperfect preventive maintenance policies. IEEE Transactions on Reliability 37(3): 295–298CrossRefGoogle Scholar
Nakagawa, T. (2005). Maintenance theory of reliability. Springer Series in Reliability Engineering. London.Google Scholar
Özekici, S. (1995). Optimal maintenance policies in random environments. European Journal of Operational Research, 82(2), 283–294.CrossRefGoogle Scholar
Sortrakul N., Nachtmann H. L., Cassady C. R. (2005) Genetic algorithms for integrated preventive maintenance planning and production scheduling for a single machine. Computers in Industry 56(2): 161–168CrossRefGoogle Scholar