A preventive maintenance scheduling model is proposed in this article. The proposed model includes finite planning horizon and limited available resources to perform maintenance scheduling. A subset of maintenance actions, that is, selective maintenance is needed during maintenance breaks due to limited resources such as time, cost, and repairman availability. Maintenance can not only improve the effective age of a component but also may alter the hazard rate. Therefore, a hybrid imperfect maintenance model is used in this article that considers the combined effect of age reduction and hazard adjustment on a component. For a multi-component system, selective maintenance is performed at periodic intervals. In addition to maintenance and failure costs, we have included the maintenance break duration and the shutdown cost in the proposed scheduling model. A periodic maintenance scheduling problem is solved in this article for a series–parallel system. The optimal number of periodic maintenance breaks in a finite planning horizon is determined. Also, maintenance actions required during each of the maintenance breaks are determined. The number of periodic maintenance breaks and maintenance actions during these breaks is selected in a way that the total maintenance, failure, and shutdown cost are minimum. An evolutionary algorithm is used to solve the problem.
JeongIJLeonVJVillalobosJR. Integrated decision-support system for diagnosis, maintenance planning, and scheduling of manufacturing systems. Int J Reliab Qual Saf Eng2007; 3: 1–10.
2.
PonchetAFouladiradMGrallA. Maintenance policy on a finite time span for a gradually deteriorating system with imperfect improvements. Proc IMechE, Part O: J Risk and Reliability2011; 225(2): 105–116.
3.
Ramirez-HernandezJAFernandezE. Optimization of preventive maintenance scheduling in semiconductor manufacturing models using a simulation-based approximate dynamic programming approach. In: Proceedings of the 49th IEEE conference on decision and control, Hilton Atlanta Hotel, Atlanta, GA, 15–17 December 2010. New York: IEEE.
4.
CantoSV. Application of Benders’ decomposition to power plant preventive maintenance scheduling. Eur J Oper Res2006; 184(2): 759–777.
5.
MoghaddamKSUsherJS. Preventive maintenance and replacement scheduling for repairable and maintainable systems using dynamic programming. Comput Ind Eng2011; 60: 654–665.
6.
DekkerRWildemanREVanEgmondR. Theory and methodology: joint replacement in an operational planning phase. Eur J Oper Res1996; 91: 74–88.
7.
WildemanREDekkerRSmitACJM. A dynamic policy for grouping maintenance activities. Eur J Oper Res1997; 91: 74–88.
8.
YaoXFuMMarcusSI. Optimization of preventive maintenance scheduling for semiconductor manufacturing systems: models and implementation. In: Proceedings of the 2001 IEEE international conference on control applications (CCA’01), Mexico City, Mexico, 5–7 September 2001, pp.407–411. New York: IEEE.
9.
TsaiYWangKTengH. Optimizing preventive maintenance for mechanical components using genetic algorithms. Reliab Eng Syst Safe2001; 74(1): 89–97.
10.
TsaiYWangKTsaiL. A study of availability-centered preventive maintenance for multi-component systems. Reliab Eng Syst Safe2004; 84(3): 261–270.
11.
BrisRChâteletEYalaouiF. New method to minimize the preventive maintenance cost of series–parallel systems. Reliab Eng Syst Safe2003; 82(3): 247–255.
12.
SamroutMYalaouiFChâteletE. New methods to minimize the preventive maintenance cost of series–parallel systems using ant colony optimization. Reliab Eng Syst Safe2005; 89(3): 346–354.
13.
WangCLinT. Improved particle swarm optimization to minimize periodic preventive maintenance cost for series-parallel systems. Expert Syst Appl2011; 38(7): 8963–8969.
14.
LaggouneRChateauneufAAissaniD. Preventive maintenance scheduling for a multi-component system with non-negligible replacement time. Int J Syst Sci2010; 41(7): 747–761.
15.
MoghaddamKSUsherJS. Sensitivity analysis and comparison of algorithms in preventive maintenance and replacement scheduling optimization models. Comput Ind Eng2011; 61(1): 64–75.
16.
MoghaddamKSUsherJS. A new multi-objective optimization model for preventive maintenance and replacement scheduling of multi-component systems. Eng Optimiz2011; 43(7): 701–719.
17.
PandeyMZuoMJMoghaddassR. Selective maintenance for binary systems under imperfect repair. Reliab Eng Syst Safe2013; 113: 42–51.
18.
LabeauP-ESegoviaM-C. Effective age models for imperfect maintenance. Proc IMechE, Part O: J Risk and Reliability2011; 225(2): 117–130.
19.
VuHCVanDPBarrosA. Maintenance activities planning and grouping for complex structure systems. In: Proceedings of the annual conference of the European safety and reliability association, ESREL, Helsinki, 25–29 June 2012. New York: Curran Associates, Inc.
20.
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.
21.
CassadyCRPohlEAMurdockWP. Selective maintenance modeling for industrial systems. J Qual Mainten Eng2001; 7(2): 104–117.
22.
CassadyCRMurdockWPJrPohlEA. Selective maintenance for support equipment involving multiple maintenance actions. European Journal of Operational Research2001; 129(2): 252–258.
23.
SchneiderKCassadyCR. Fleet performance under selective maintenance. In: Proceedings of the annual reliability and maintainability symposium, St. Louis, MO, 26–29 January 2004. New York: IEEE.
24.
RajagopalanRCassadyCR. An improved selective maintenance solution approach. J Qual Mainten Eng2006; 12(2): 172–185.
25.
LustTRouxORianeF. Exact and heuristic methods for the selective maintenance problem. Eur J Oper Res2009; 197(3): 1166–1177.
26.
MenonMV. Estimation of the shape and scale parameters of the Weibull distribution. Technometrics1963; 5(2): 175–182.
27.
CohenAC. Maximum likelihood estimation in the Weibull distribution based on complete and on censored samples. Technometrics1965; 7(4): 579–588.
28.
Al-BaidhaniPASinclairCD. Comparison of methods of estimation of parameters of the Weibull distribution. Commun Stat: Simul C1987; 16(2): 373–384.
29.
ZilleVBérenguerCGrallA. Modelling multicomponent systems to quantify reliability centred maintenance strategies. Proc IMechE, Part O: J Risk and Reliability2011; 225(2): 141–160.
LinDZuoMJYamRCM. Sequential imperfect preventive maintenance models with two categories of failure modes. Nav Res Log2001; 48(2): 172–183.
32.
PandeyMZuoMJMoghaddassR. Selective maintenance for binary systems using age-based imperfect repair model. In: Proceedings of the international conference on quality, reliability, risk, maintenance, and safety engineering (QR2MSE), Chengdu, China, 15–18 June 2012, pp.385–389. New York: IEEE.
33.
BanjevicD. Remaining useful life in theory and practice. Metrika2009; 69: 337–349.
34.
LieCHChunYH. An algorithm for preventive maintenance policy. IEEE T Reliab1986; 35(1): 71–75.
35.
PandeyMKTiwariMKZuoMJ. Interactive enhanced particle swarm optimization: a multi-objective reliability application. Proc IMechE, Part O: J Risk and Reliability2007; 221(3): 177–191.
36.
BrestJGreinerSBoskovieB. Self-adapting control parameters in differential evolution: a comparative study on numerical benchmark problems. IEEE T Evolut Comput2006; 10(6): 646–657.
37.
QianBWangLHuangD-X. Scheduling multi-objective job shops using a memetic algorithm based on differential evolution. Int J Adv Manuf Tech2008; 35: 1014–1027.
38.
LiG-YLiuM-G. The summary of differential evolution algorithm and its improvements. In: Proceedings of the 3rd international conference on advanced computer theory and engineering, Chengdu, China, 20–22 August 2010, vol. 3, pp.153–156. New York: IEEE.
39.
WangLLiLP. A coevolutionary differential evolution with harmony search for reliability-redundancy optimization. Expert Syst Appl2012; 39: 5271–5278.
40.
LiuYHuangHZ. Optimal selective maintenance strategy for MSS under imperfect maintenance. IEEE T Reliab2010; 59(2): 356–367.
41.
Bartholomew-BiggsMZuoMJLiX. Modelling and optimizing sequential imperfect preventive maintenance. Reliab Eng Syst Safe2009; 94(1): 53–62.
42.
SheuSHChangCC. Extended periodic imperfect preventive maintenance model of a system subjected to shocks. Int J Syst Sci2010; 41(10): 1145–1153.
