Optimal Preventive Maintenance Policy with Consideration of Production Wait

doi:10.1007/s12204-015-1630-y

Abstract

Abstract: In this paper, we consider the replacement of a single unit with catastrophic failure mode. Besides replaced at a preset time, the unit is also replaced at failure time or if it encounters a production wait and its age has reached a threshold. The joint preventive maintenance interval and threshold optimization problem are formulated with the objective of minimizing the expected cost per unit time in long run. A numerical example is presented to illustrate the applicability of the model.

Key words: preventive| maintenance| production wait| age replacement| threshold

摘要： In this paper, we consider the replacement of a single unit with catastrophic failure mode. Besides replaced at a preset time, the unit is also replaced at failure time or if it encounters a production wait and its age has reached a threshold. The joint preventive maintenance interval and threshold optimization problem are formulated with the objective of minimizing the expected cost per unit time in long run. A numerical example is presented to illustrate the applicability of the model.

关键词: preventive| maintenance| production wait| age replacement| threshold

CLC Number:

TB 114.3

WANG Wen-bin (王文彬), LI Ping* (李娉), PENG Rui (彭锐). Optimal Preventive Maintenance Policy with Consideration of Production Wait[J]. Journal of shanghai Jiaotong University (Science), 2015, 20(3): 322-325.

References 11

[1]	Nakagawa T. Maintenance theory of reliability [M].London: Springer-Verlag, 2005.
[2]	Wang W B. An overview of the recent advances in delay-time-based maintenance modelling [J]. Reliability Engineering and System Safety, 2012, 106: 165-178.
[3]	Barlow R E, Proschan F. Mathematical theory of reliability [M]. New York: John Wiley & Sons Ltd.,1965.
[4]	Dohi T, Kaio N, Osaki S. Maintenance, modeling and optimization [M]. Boston: Kluwer Academic Publishers,2000.
[5]	Kaio N, Dohi T, Osaki S. Stochastic models in reliability and maintenance [M]. New York: Springer-Verlag, 2002.
[6]	Dohi T, Kaio N, Osaki S. Handbook of reliability engineering [M]. London: Springer-Verlag, 2003.
[7]	Wang W B. Models of inspection, routine service, and replacement for a serviceable one-component system[J]. Reliability Engineering and System Safety, 2013,116: 57-63.
[8]	Wang W. Delay time modelling, in complex system maintenance handbook [M]. Amsterdam: Springer-Verlag, 2008.
[9]	Wang W B, Zhao F, Peng R. A preventive maintenance model with a two-level inspection policy based on a three-stage failure process [J]. Reliability Engineering and System Safety, 2014, 121: 207-220.
[10]	Ross S M. Introduction to probability models [M].New York: Elsevier, 2007.
[11]	Wang W, Christer A H. Solution algorithms for a nonhomogeneous multicomponent system inspection model [J]. Computer and Operations Research, 2003,30: 19-34.

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