To improve the probability that an engineering system successfully completes its next mission, it is crucial to implement timely maintenance activities, especially when maintenance time or maintenance resources are limited. Taking series-parallel system as the object of study, this paper develops a multi-objective imperfect selective maintenance optimization model. Among it, during the scheduled breaks, potential maintenance actions are implemented for the components, ranging from minimal repair to replacement. Considering that the level of maintenance actions is closely related to the maintenance cost, age reduction coefficient and hazard rate adjustment coefficient are taken into account. Moreover, improved hybrid hazard rate approach is adopted to describe the reliability improvement of the components, and the mission duration is regarded as a random variable. On this basis, a nonlinear stochastic optimization model is established with dual objectives to minimize the total maintenance cost and maximize the system reliability concurrently. The fast elitist non-dominated sorting genetic algorithm (NSGA-II) is adopted to solve the model. Numerical experiments are conducted to verify the effectiveness of the proposed approach. The results indicate that the proposed model can obtain better scheduling schemes for the maintenance resources, and more flexible maintenance plans are gained.
CoriaVHMaximovSRivas-DávalosF, et al. Analytical method for optimization of maintenance policy based on available system failure data. Reliab Eng Syst Saf2015; 135: 55–63.
2.
RiceWFCassadyCRNachlasJA.Optimal maintenance plans under limited maintenance time. In: Proceedings of the seventh industrial engineering research conference, Banff, AB, Canada, 9–10 May 1998. Norcross, GA: Institute of Industrial Engineers.
3.
Richard CassadyCPaul MurdockWPohlEA. Selective maintenance for support equipment involving multiple maintenance actions. Eur J Oper Res2001; 129(2): 252–258.
4.
CassadyCRPohlEAPaul MurdockW.Selective maintenance modeling for industrial systems. J Qual Maint Eng2001; 7(2): 104–117.
LustTRouxORianeF.Exact and heuristic methods for the selective maintenance problem. Eur J Oper Res2009; 197(3): 1166–1177.
7.
LiuYHuangHZ.Optimal selective maintenance strategy for multi-state systems under imperfect maintenance. IEEE Trans Reliab2010; 59(2): 356–367.
8.
ZhuHLiuFShaoX, et al. A cost-based selective maintenance decision-making method for machining line. Qual Reliab Eng Int2011; 27(2): 191–201.
9.
PandeyMZuoMJMoghaddassR, et al. Selective maintenance for binary systems under imperfect repair. Reliab Eng Syst Saf2013; 113(1): 42–51.
10.
PandeyMZuoMJMoghaddassR.Selective maintenance scheduling over a finite planning horizon. Proc IMechE, Part O: J Risk and Reliability2016; 230(2): 162–177.
11.
DialloCVenkatadriUKhatabA, et al. Optimal selective maintenance decisions for large serial k-out-of-n: G systems under imperfect maintenance. Reliab Eng Syst Saf2018; 175: 234–245.
12.
Olde KeizerMCAFlapperSDPTeunterRH.Condition-based maintenance policies for systems with multiple dependent components: a review. Eur J Oper Res2017; 261(2): 405–420.
13.
de JongeBScarfPA. A review on maintenance optimization. Eur J Oper Res2020; 285(3): 805–824.
14.
DaoCDZuoMJPandeyM.Selective maintenance for multi-state series–parallel systems under economic dependence. Reliab Eng Syst Saf2014; 121: 240–249.
15.
DaoCDZuoMJ.Selective maintenance for multistate series systems with s-dependent components. IEEE Trans Reliab2016; 65(2): 525–539.
16.
DaoCDZuoMJ.Selective maintenance of multi-state systems with structural dependence. Reliab Eng Syst Saf2017; 159: 184–195.
17.
SchneiderKRichard CassadyC.Evaluation and comparison of alternative fleet-level selective maintenance models. Reliab Eng Syst Saf2015; 134: 178–187.
18.
YangDWangHFengQ, et al. Fleet-level selective maintenance problem under a phased mission scheme with short breaks: a heuristic sequential game approach. Comput Ind Eng2018; 119: 404–415.
19.
KhatabADialloCVenkatadriU, et al. Optimization of the joint selective maintenance and repairperson assignment problem under imperfect maintenance. Comput Ind Eng2018; 125: 413–422.
20.
ChaabaneKKhatabADialloC, et al. Integrated imperfect multi-mission selective maintenance and repairpersons assignment problem. Reliab Eng Syst Saf2020; 199: 106895.
21.
ZhangXChenJHanB, et al. Multi-mission selective maintenance modelling for multistate systems over a finite time horizon. Proc IMechE, Part O: J Risk and Reliability2019; 233(6): 1040–1059.
22.
KhatabAAghezzafEH.Selective maintenance optimization when quality of imperfect maintenance actions are stochastic. Reliab Eng Syst Saf2016; 150: 182–189.
23.
DuanCDengCGharaeiA, et al. Selective maintenance scheduling under stochastic maintenance quality with multiple maintenance actions. Int J Prod Res2018; 56(23): 7160–7178.
24.
KhatabAAghezzafEHDialloC, et al. Selective maintenance optimisation for series-parallel systems alternating missions and scheduled breaks with stochastic durations. Int J Prod Res2017; 55(10): 3008–3024.
25.
LiuYChenYJiangT.On sequence planning for selective maintenance of multi-state systems under stochastic maintenance durations. Eur J Oper Res2018; 268(1): 113–127.
26.
JiaXCaoWHuQ.Selective maintenance optimization for random phased-mission systems subject to random common cause failures. Proc IMechE, Part O: J Risk and Reliability2019; 233(3): 379–400.
27.
ChenZHeYZhaoY, et al. Mission reliability-oriented selective maintenance optimization for intelligent multistate manufacturing systems with uncertain maintenance quality. IEEE Access2019; 7(99): 109804–109816.
28.
CaoWJiaXLiuY, et al. Selective maintenance optimisation considering random common cause failures and imperfect maintenance. Proc IMechE, Part O: J Risk and Reliability2019; 233(3): 427–443.
29.
JiangTLiuY.Selective maintenance strategy for systems executing multiple consecutive missions with uncertainty. Reliab Eng Syst Saf2020; 193: 106632.
30.
GalanteGMLa FataCMLupoT, et al. Handling the epistemic uncertainty in the selective maintenance problem. Comput Ind Eng2020; 141: 106293.
31.
QuddoosAAliIKhalidMM.Bi-objective fuzzy selective maintenance allocation problem. Am J Math Manag Sci2015; 34(4): 289–308.
32.
MellalMAZioE.An adaptive particle swarm optimization method for multi-objective system reliability optimization. Proc IMechE, Part O: J Risk and Reliability2019; 233(6): 990–1001.
33.
DialloCKhatabAVenkatadriU. Developing a bi-objective imperfect selective maintenance optimization model for multicomponent systems. In: The 9th IFAC conference on manufacturing modelling, management and control (IFAC-MIM), Berlin, Germany, 28–30 August 2019.
34.
JiangTLiuY.Robust selective maintenance strategy under imperfect observations: a multi-objective perspective. IISE Trans2020; 52(7): 751–768.
35.
ShahrakiAFYadavOPVogiatzisC.Selective maintenance optimization for multi-state systems considering stochastically dependent components and stochastic imperfect maintenance actions. Reliab Eng Syst Saf2020; 196: 106738.
36.
DebKPratapAAgarwalS, et al. A fast and elitist multi-objective genetic algorithm: NSGA-II. IEEE Trans Evol Comput2002; 6(2): 182–197.
37.
DjelloulIKhatabAAghezzafEH, et al. Optimal selective maintenance policy for series-parallel systems operating missions of random durations. In: International conference on Computers & Industrial Engineering (CIE 45), Metz, France, 28–30 October 2015.
