In this article, the reliability model and the opportunistic maintenance optimization model are formulated for the preset self-repairing mechanism which is artificially designed and applied to many engineering systems. The preset self-repairing mechanism is first introduced into the reliability model, and a series system consisting of two units is built to describe the proposed model. One unit in the system is subject to external shocks and has the preset self-repairing mechanism, the other does not have the recovery mechanism and its lifetime distribution follows exponential distribution. For the system, the analytical expression of reliability is derived, and a maintenance optimization model taking the long-run average cost per unit time as objective function is established. The decision parameters of the maintenance policy are preventive and opportunistic degradation levels. Besides, a preventive maintenance policy is proposed for comparison with the opportunistic maintenance policy. Finally, the numerical examples are provided to obtain the optimal decision parameters and demonstrate the effectiveness of opportunistic maintenance policies.
WangHZ.A survey of maintenance policies of deteriorating systems. Eur J Oper Res2002; 139(3): 469–489.
2.
ZhaoXCuiLR.Reliability evaluation of generalised multi-state k-out-of-n systems based on FMCI approach. Int J Syst Sci2010; 41(12): 1437–1443.
3.
DuiHYLiCChenLW.Reliability-oriented extended importance measures in uncertain inventory systems for mechanical products. Adv Mech Eng2019; 11(2): 1–9.
4.
BlaiszikBJKramerSLBOlugebefolaSC, et al. Self-Healing polymers and composites. Ann Rev Mater Res2010; 40: 179–211.
5.
LiZHZhaoP.Reliability analysis on the delta-shock model of complex systems. IEEE Trans Reliab2007; 56(2): 340–348.
6.
KongDJCuiLR.Bayesian inference of multi-stage reliability for degradation systems with calibrations. Proc IMechE, Part O: J Risk and Reliability2016; 230(1): 18–33.
7.
ZhaoXWangSQWangXY, et al. Multi-state balanced systems in a shock environment. Reliab Eng Syst Saf2019; 193: 106592.
8.
CuiLRChenZLGaoHD.Reliability for systems with self-healing effect under shock models. Qual Technol Quant Manag2018; 15(5): 551–567.
9.
TangDYYuJSChenXZ, et al. An optimal condition-based maintenance policy for a degrading system subject to the competing risks of soft and hard failure. Comput Ind Eng2015; 83: 100–110.
10.
ZhuQSPengHVan HoutumGJ.A condition-based maintenance policy for multi-component systems with a high maintenance setup cost. OR Spectrum2015; 37(4): 1007–1035.
11.
NaderkhaniZGFMakisV. Optimal condition-based maintenance policy for a partially observable system with two sampling intervals. Int J Adv Manuf Technol2015; 78(5–8): 795–805.
12.
DuSJCuiLRLinC.Some reliability indexes and sojourn time distributions for a repairable degradation model. Proc IMechE, Part O: J Risk and Reliability2016; 230(3): 334–349.
13.
SuryanarayanaCRaoKCKumarD.Preparation and characterization of microcapsules containing linseed oil and its use in self-healing coatings. Prog Org Coat2008; 63(1): 72–78.
14.
ZhaoXGuoXXWangXY.Reliability and maintenance policies for a two-stage shock model with self-healing mechanism. Reliab Eng Syst Saf2018; 172: 185–194.
15.
ShenJYCuiLRYiH.System performance of damage self-healing systems under random shocks by using discrete state method. Comput Ind Eng2018; 125: 124–134.
16.
WangCWuHChenZ, et al. Self-healing chemistry enables the stable operation of silicon microparticle anodes for high-energy lithium-ion batteries. Nat Chem2013; 5(12): 1042–1048.
17.
ChenKLZhouSXYangS, et al. Fabrication of All-Water-Based Self-repairing superhydrophobic coatings based on UV-Responsive microcapsules. Adv Funct Mater2015; 25(7): 1035–1041.
18.
CuiJXDanielDGrinthalA, et al. Dynamic polymer systems with self-regulated secretion for the control of surface properties and material healing. Nat Mater2015; 14(8): 790–795.
19.
AmaroRIMartinsRCSeabraJO, et al. Molybdenum disulphide/titanium low friction coating for gears application. Tribol Int2005; 38(4): 423–434.
20.
JiangLXiangDTanYF, et al. Analysis of wind turbine Gearbox’s environmental impact considering its reliability. J Clean Prod2018; 180: 846–857.
21.
MaHZengJFengRJ, et al. Review on dynamics of cracked gear systems. Eng Fail Anal2015; 55: 224–245.
22.
ZhaoXCaiKWangXY, et al. Optimal replacement policies for a shock model with a change point. Comput Ind Eng2018; 118: 383–393.
23.
ChangWL.Optimal single-replacement for repairable products with different failure rate under a finite planning horizon. Int J Syst Sci2015; 46(6): 1003–1009.
24.
DuiHYSiSBYamRCM. A cost-based integrated importance measure of system components for preventive maintenance. Reliab Eng Syst Saf2017; 168: 98–104.
25.
LegatVZaludovaAHCervenkaV, et al. Contribution to optimization of preventive replacement. Reliab Eng Syst Saf1996; 51(3): 259–266.
26.
ZhaoXWangSQWangXY, et al. A multi-state shock model with mutative failure patterns. Reliab Eng Syst Saf2018; 178: 1–11.
27.
WangXYZhaoXSunJL.A compound negative binomial distribution with mutative termination conditions based on a change point. J Comput Appl Math2019; 351: 237–249.
28.
QiuQACuiLRKongDJ.Availability and maintenance modeling for a two-component system with dependent failures over a finite time horizon. Proc IMechE, Part O: J Risk and Reliability2019; 233(2): 200–210.
29.
De JongeBTeunterRHTingaT. The influence of practical factors on the benefits of condition-based maintenance over time-based maintenance. Reliab Eng Syst Saf2017; 158: 21–30.
30.
KeizerMCAOTeunterRHVeldmanJ.Clustering condition-based maintenance for systems with redundancy and economic dependencies. Eur J Oper Res2016; 251(2): 531–540.
31.
DieulleLBerenguerCGrallA, et al. Sequential condition-based maintenance scheduling for a deteriorating system. Eur J Oper Res2003; 150(2): 451–461.
32.
ZhouXXiLLeeJ.Reliability-centered predictive maintenance scheduling for a continuously monitored system subject to degradation. Reliab Eng Syst Saf2007; 92(4): 530–534.
33.
LiWJPhamH.An inspection-maintenance model for systems with multiple competing processes. IEEE Trans Reliab2005; 54(2): 318–327.
34.
SalariNMakisV.Optimal preventive and opportunistic maintenance policy for a two-unit system. Int J Adv Manuf Technol2017; 89(1–4): 665–673.
35.
KoochakiJBokhorstJACWortmannH, et al. Condition based maintenance in the context of opportunistic maintenance. Int J Prod Res2012; 50(23): 6918–6929.
36.
ZhangCGaoWGuoS, et al. Opportunistic maintenance for wind turbines considering imperfect, reliability-based maintenance. Renew Energy2017; 103: 606–612.
37.
ShenJYElwanyACuiLR.Reliability modeling for systems degrading in K cyclical regimes based on gamma processes. Proc IMechE, Part O: J Risk and Reliability2018; 232(6): 754–765.
