Optimization of sequential preventive maintenance has been widely studied. However, some issues need further discussion when considering certain real factors. Hence, an sequential preventive maintenance policy for a mono-unit repairable system with maintenance windows is proposed. The load strength and catastrophic failures of a system are considered in the reliability model, and an optimization of the SPM policy is rigorously proven by an analytical method. The existence and uniqueness of the optimal solution with a monotone increasing failure intensity function are presented in detail. The proof of theory indicates that the length of the maintenance window has an upper bound. Finally, a numerical example and some sensitivity analyses are given to illustrate the proposed sequential preventive maintenance policy. Results show that waste may occur when performing the general sequential preventive maintenance policy and may increase along with the length of the maintenance windows.
NakagawaT. Maintenance theory of reliability, London: Springer, 2005.
2.
HuJWJiangZHWangH. Preventive maintenance for a single-machine system under variable operational conditions. Proc IMechE, Part O: J Risk and Reliability2016; 230: 391–404.
3.
PengWLiuYZhangXL, et al.Sequential preventive maintenance policies with consideration of random adjustment-reduction features. Eksploat Niezawodn2015; 17: 306–313.
4.
LeeHChaJH. New stochastic models for preventive maintenance and maintenance optimization. Eur J Oper Res2016; 255: 80–90.
5.
NguyenDTDijouxYFouladiradM. Analytical properties of an imperfect repair model and application in preventive maintenance scheduling. Eur J Oper Res2017; 256: 439–453.
6.
SheuS-HChangT-H. Generalized sequential preventive maintenance policy of a system subject to shocks. Int J Syst Sci2002; 33: 267–276.
7.
ZhangZGaoWZhouY, et al.Reliability modeling and maintenance optimization of the diesel system in locomotives. Eksploat Niezawodn2012; 14: 302–311.
8.
Kodo I and Toshio N. Optimal operation censoring policy of aircraft. In: 2012 Asia-Pacific international symposium on advanced reliability and maintenance modeling, 2012, pp.184–191. Nanjing, China: McGraw Hill.
9.
Duan CQ, Deng C and Wang K. A reliability based model to optimize phased sequential preventive maintenance with considering maintenance resources. In: Proceedings of the 2015 10th IEEE conference on industrial electronics and applications, 2015, pp.1819–1824. New York: IEEE.
10.
WangZYangJWangG, et al.Sequential imperfect preventive maintenance policy with random maintenance quality under reliability limit. Proc IMechE, Part C: J Mechanical Engineering Science2011; 225: 1926–1935.
11.
ChengGQZhouBHLiL. Joint optimisation of production rate and preventive maintenance in machining systems. Int J Prod Res2016; 54: 6378–6394.
12.
ChanghuaHHongPZhaoqiangW, et al.A new remaining useful life estimation method for equipment subjected to intervention of imperfect maintenance activities. Chinese J Aeronaut2018; 31: 514–528.
13.
LiuYLiYFHuangHZ, et al.An optimal sequential preventive maintenance policy under stochastic maintenance quality. Struct Infrast Eng2011; 7: 315–322.
14.
MartorellSSanchezASerradellV. Age-dependent reliability model considering effects of maintenance and working conditions. Reliab Eng Syst Safe1999; 64: 19–31.
15.
Jin Y-L. Multi-objective optimization of flexible period preventive maintenance on a single machine. In: Huang HZ, Zuo MJ and Liu Y (eds) 2012 international conference on quality, reliability, risk, maintenance, and safety engineering, 2012, pp.475–479.
16.
Nie L. Parallel machine scheduling problem of flexible maintenance activities with fuzzy random time windows. In: Proceedings of the tenth international conference on management science and engineering management, 2017, pp.1027–1040. New York: Springer.
17.
GaoWZhangZJiH, et al.Optimal quasi-periodic preventive maintenance policies for repairable system with dynamic maintenance plan. Eksploat Niezawodn2015; 17: 389–397.
SyamsundarANaikanVNA. Imperfect repair proportional intensity models for maintained systems. IEEE Trans Reliab2011; 60: 782–787.
25.
LiaoHTianZ. A framework for predicting the remaining useful life of a single unit under time-varying operating conditions. IIE Trans2013; 45: 964–980.
26.
XiangYCassadyCRPohlEA. Optimal maintenance policies for systems subject to a Markovian operating environment. Comput Ind Eng2012; 62: 190–197.
27.
LiDZhangZZhongQ, et al.Performance deterioration modeling and optimal preventive maintenance strategy under scheduled servicing subject to mission time. Chinese J Aeronaut2014; 27: 821–828.
28.
LuXChenMLiuM, et al.Optimal imperfect periodic preventive maintenance for systems in time-varying environments. IEEE Trans Reliab2012; 61: 426–439.
29.
HuJWJiangZHLiaoHT. Preventive maintenance of a single machine system working under piecewise constant operating condition. Reliab Eng Syst Safe2017; 168: 105–115.
30.
WuS. A failure process model with the exponential smoothing of intensity functions. Eur J Oper Res2019; 275: 502–513.
31.
DoyenLGaudoinOSyamsundarA. On geometric reduction of age or intensity models for imperfect maintenance. Reliab Eng Syst Safe2017; 168: 40–52.
32.
ZhuXYBeiXQChatwattanasiriN, et al.Optimal system design and sequential preventive maintenance under uncertain aperiodic-changing stresses. IEEE Trans Reliab2018; 67: 907–919.
33.
ChaJHFinkelsteinM. Optimal preventive maintenance for systems having a continuous output and operating in a random environment. Top2019; 27: 327–350.
34.
WuS. Doubly geometric processes and applications. J Oper Res Soc2018; 69: 66–77.
35.
Gao W, Ji H, Wang Y, et al. A nonlinear preventive maintenance model with an environmental factor based weibull distribution. In: IOP conference series: materials science and engineering. Bristol: IOP Publishing, 2019, p. 012009.
36.
WuSMDoP. Maintenance modelling. Reliab Eng Syst Safe2017; 168: 1–3.
37.
WangZYangJWangG, et al.Sequential imperfect preventive maintenance policy with random maintenance quality under reliability limit. Proc IMechE, Part C: J Mechanical Engineering Science2011; 225: 1926–1935.
38.
SchutzJRezgNLegerJB. Periodic and sequential preventive maintenance policies over a finite planning horizon with a dynamic failure law. J Intell Manuf2011; 22: 523–532.
39.
SheuS-HChangC-CChenY-L. An extended sequential imperfect preventive maintenance model with improvement factors. Commun Stat—Theory Methods2012; 41: 1269–1283.
40.
SarkarAPanjaSCSarkarB. Survey of maintenance policies for the last 50 years. Int J Softw Eng Appl2011; 2: 130–148.
