Aperiodic Imperfect Preventive Maintenance Method of Bounded Intensity Process for Numerical Control Machine Tools

Abstract

Abstract:

Based on bounded intensity process, an aperiodic imperfect preventive maintenance policy for numerical control machine tools with random maintenance quality under reliability limit was proposed. A hybrid model, which considers the effect of maintenance to virtual age and the fact that failure intensity increases as operational time increases, was presented. The treating average cost as an objective function, maintenance intervals and the number of optimum maintenance were given iteratively when increasing value of failure intensity and maintenance quality were both random variables with uniform distribution. Finally, a discussion for a real numerical example was presented to show the dependence of optimal results on different cost parameters.

Key words: preventive maintenance, reliability, bounded intensity process, random maintenance quality; , virtual age

CLC Number:

TG659
TB114

WANG Zhiming1,YANG Jianguo2. Aperiodic Imperfect Preventive Maintenance Method of Bounded Intensity Process for Numerical Control Machine Tools[J]. Journal of Shanghai Jiaotong University, 2013, 47(11): 1661-1665.

References

［1］Pham H, Wang H. Imperfect Repair［J］. European Journal of Operational Research, 1996, 94: 425438.

［2］Kijima M. Some results for repairable systems with general repair［J］. Journal of Applied Probability, 1989, 26: 89102.

［3］Guo R, Ascher H E, Love C E. Generalized models of repairable systems—A survey via stochastic processes formalism［J］. ORiON, 2000, 16(2): 87128.

［4］Liu X, Makis V, Jardine A K S. A replacement model with overhauls and repairs［J］. Naval Research Logistics, 1995, 42: 10631079.

［5］Nakagawa T. A summary of imperfect preventive maintenance policies with minimal repair［J］. RAIRO Operations Research, 1980, 14: 249255.

［6］Nakagawa T. Periodic and sequential preventive maintenance policies［J］. Journal of Applied Probability, 1986, 23: 536542.

［7］Lin D, Zuo M J, Yam R C M. General sequential imperfect preventive maintenance models［J］. International Journal of Reliability Quality and Safety Engineering, 2000, 7: 253266.

［8］Wang Z M, Yang J G, Wang G Q, et al. Sequential imperfect preventive maintenance policy with random maintenance quality under reliability limit［J］. Proceedings of the Institution of Mechanical Engineers, Part C, Journal of Mechanical Engineering Science, 2011, 225(8): 19261935.

［9］Jayabalan V, Chaudhuri D. Cost optimization of maintenance scheduling for a system with assured reliability［J］. IEEE Transactions on Reliability, 1992, 41(1): 2125.

［10］韩帮军, 范秀敏, 马登哲. 基于可靠度约束的预防性维修策略的优化研究［J］. 机械工程学报, 2003, 39(6): 102105.

HAN Bangjun, FAN Xiumin, MA Dengzhe. Research on the optimal preventive maintenance policy based on reliability constraints ［J］. Chinese Journal of Mechanical Engineering, 2003, 39(6)：102105.

［11］Zhao X J, Xi L F, Lee J. Reliabilitycentered predictive maintenance scheduling for a continuously monitored system subject to degradation［J］. Reliability Engineering and System Safety, 2007, 92: 530534.

［12］Wu S, ClementsCroome D. Preventive maintenance models with random maintenance quality［J］. Reliability Engineering and System Safety, 2005, 90: 99105.

［13］Pulcini G. A bounded intensity process for the reliability of repairable equipment［J］. Journal of Quality Technology, 2001, 33(4): 480492.

［14］王智明, 杨建国. 数控机床可靠性评估中的边界强度过程［J］. 上海交通大学学报, 2012, 46(10): 16221626.

WANG Zhiming, YANG Jianguo. Bounded intensity process and its applications in reliability assessment of NC machine tools［J］. Journal of Shanghai Jiaotong University, 2012, 46(10): 16221626.

［15］Kijima M, Morimura H, Suzuki Y. Periodical replacement problem without assuming minimal repair［J］. European Journal of Operational Research, 1988, 37: 194203.

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