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The Near-Optimal Preventive Maintenance Policies for a Repairable System with a Finite Life time by Using Simulation Methods

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JOURNAL OF COMPUTERS 2011年第3期6卷 548-555页

作者： Cheng, Chun-Yuan Chaoyang Univ Technol Dept Ind Engn & Management Taichung Taiwan

For a repairable and deteriorating system, the theoretical preventive maintenance (PM) models are usually complicated and need numerical methods to obtain the optimal PM policies since the system's failure rate function is changed after each PM. It makes the application of the theoretical model not quite suitable for real cases. Moreover, the theoretical optimal PM solution is obtained by evaluating the expected cost rate of the system over an infinite time span. Yet, in reality, a deteriorating system always has a finite life time. Hence, searching for an optimal PM solution for a deteriorating system over an infinite time span might not be rational. Therefore, we consider using Monte Carlo simulation method to mimic the complicated failure process of a system with PM activity and then to obtain a range of the near-optimal PM policies. In this paper, the inverse transformation method and the rejection method are applied to generate the time-between-failures (TBF) random variates. The algorithms for generating the RVs are developed. The procedure of finding the nearoptimal PM policies are also provided. Then, examples of using the proposed simulation method to obtain the nearoptimal policies for the age-reduction PM model in a finite time span are presented and discussed.

关键词： Preventive maintenance Simulation method time-between-failure random variates Age reduction Inverse Transformation Method Rejection Method

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The Near-Optimal Policies for the Age-Reduced Preventive Maintenance Model in a Finite time Span using Simulation Method

The Near-Optimal Policies for the Age-Reduced Preventive Mai...

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Workshop on Intelligent Systems and Applications

作者： Chun-Yuan Cheng Chun-Chin Hsu Te-Hsiu Sun Shu-Te Fang Dept. of Industrial Engineering and Management Chaoyang University of Technology Taichung County

ISBN: (纸本)9781424458721;9781424458745

For a repairable and deteriorating system, the theoretical preventive maintenance (PM) models are usually complicated and need numerical methods to obtain the optimal PM policies since the system's hazard rate function is changed after each PM. It makes the application of the theoretical model not quite suitable for real cases. Moreover, the theoretical optimal PM solution is obtained by assuming the system is evaluated over an infinite time span. Yet, in reality, the deteriorating systems always have a finite life time. Hence, searching for an optimal PM solution in a finite time span might not be rational for a deteriorating system. Therefore, we consider using the simulation method to obtain a range of the near-optimal PM policy. The critical step of the simulation method for obtaining a near-optimal PM policy is the generation of the random variates (RV). Since the rejection method is a simple and easy-to-use method in simulating the failure process of a PM model, it is applied to generate the RVs of the time-between-failures (TBF) for the finite-time-span PM model with age reduction effect. In this research, examples of the near-optimal PM policies are presented and discussed.

关键词： Simulation method time-between-failure random variates Preventive maintenance Age reduction Rejection Method

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random variates GENERATING METHODS OF time-between-failureS FOR THE REPAIRABLE SYSTEMS UNDER AGE-REDUCTION PREVENTIVE MAINTENANCE

RANDOM VARIATES GENERATING METHODS OF TIME-BETWEEN-FAILURES ...

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6th International Conference on Informatics in Control, Automation and Robotics

作者： Cheng, Chun-Yuan Guo, Renkuan Liu, Mei-Ling Chaoyang Univ Technol Dept Ind Engn & Management 168 Jifong E Rd Wufong 41349 Taichung County Taiwan

ISBN: (纸本)9789896740009

Based on the theoretical model, a numerical method is usually necessary for obtaining the optimal preventive maintenance (PM) policy for a deteriorating system since the theoretical model becomes complicated when the system's hazard rate function is changed after each PM. It makes the application of the theoretical model not suitable for real cases. Moreover, the theoretical model assumes using infinite time span to obtain the long-term expected number of failures. Yet, in reality, the deteriorating systems always have a finite life time. Hence, an optimal solution might not be resulted as compared to the infinite time span. Therefore, we consider using the simulation method to obtain a range of the near-optimal PM policy. The critical step of the simulation method for obtaining a near-optimal PM policy is the generation of the random variates (RV). In this research, three methods are developed to generate the required RVs of the time-between-failures (TBF) for the finite-time-span preventive maintenance model with age reduction effect. It is found that there are no significant differences among three proposed RV generating methods when comparing the dispersion of the generated RV's. However, the rejection method is the simplest method for obtaining the near-optimal PM policies. Examples of the near-optimal PM policies are also presented in this paper.

关键词： Simulation method time-between-failure random variates Preventive maintenance Age reduction

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