A review on condition-based maintenance optimization models for stochastically deteriorating system

Condition-based maintenance (CBM) is a maintenance strategy that collects and assesses real-time information, and recommends maintenance decisions based on the current condition of the system. In recent decades, research on CBM has been rapidly growing due to the rapid development of computer-based monitoring technologies. Research studies have proven that CBM, if planned properly, can be effective in improving equipment reliability at reduced costs. This paper presents a review of CBM literature with emphasis on mathematical modeling and optimization approaches. We focus this review on important aspects of the CBM, such as optimization criteria, inspection frequency, maintenance degree, solution methodology, etc. Since the modeling choice for the stochastic deterioration process greatly influences CBM strategy decisions, this review classifies the literature on CBM models based on the underlying deterioration processes, namely discrete- and continuous-state deterioration, and proportional hazard model. CBM models for multi-unit systems are also reviewed in this paper. This paper provides useful references for CBM management professionals and researchers working on CBM modeling and optimization.

[1]  Dragan Banjevic,et al.  A myopic policy for optimal inspection scheduling for condition based maintenance , 2015, Reliab. Eng. Syst. Saf..

[2]  Viliam Makis,et al.  Optimal maintenance policy and residual life estimation for a slowly degrading system subject to condition monitoring , 2015, Reliab. Eng. Syst. Saf..

[3]  S. Mercier,et al.  On the Modelling of Imperfect Repairs for a Continuously Monitored Gamma Wear Process Through Age Reduction , 2013, Journal of Applied Probability.

[4]  Dan M. Frangopol,et al.  Novel Approach for Multicriteria Optimization of Life-Cycle Preventive and Essential Maintenance of Deteriorating Structures , 2010 .

[5]  Susan S. Lu,et al.  Predictive condition‐based maintenance for continuously deteriorating systems , 2007, Qual. Reliab. Eng. Int..

[6]  Dan M. Frangopol,et al.  Multiobjective Maintenance Planning Optimization for Deteriorating Bridges Considering Condition, Safety, and Life-Cycle Cost , 2005 .

[7]  Mitra Fouladirad,et al.  On the use of on-line detection for maintenance of gradually deteriorating systems , 2008, Reliab. Eng. Syst. Saf..

[8]  Mitra Fouladirad,et al.  Condition-based inspection/replacement policies for non-monotone deteriorating systems with environmental covariates , 2010, Reliab. Eng. Syst. Saf..

[9]  Fan Wu,et al.  A cost effective degradation-based maintenance strategy under imperfect repair , 2015, Reliab. Eng. Syst. Saf..

[10]  Viliam Makis,et al.  An optimal condition-based maintenance policy for a degrading system subject to the competing risks of soft and hard failure , 2015, Comput. Ind. Eng..

[11]  Chin-Tai Chen,et al.  On a dynamic preventive maintenance policy for a system under inspection , 2003, Reliab. Eng. Syst. Saf..

[12]  Kai He,et al.  Scheduling Preventive Maintenance as a Function of an Imperfect Inspection Interval , 2015, IEEE Transactions on Reliability.

[13]  Dan M. Frangopol,et al.  A probabilistic computational framework for bridge network optimal maintenance scheduling , 2011, Reliab. Eng. Syst. Saf..

[14]  Fuhai Duan,et al.  Optimization of reliability centered predictive maintenance scheme for inertial navigation system , 2015, Reliab. Eng. Syst. Saf..

[15]  Christophe Bérenguer,et al.  Optimal scheduling of non-perfect inspections , 2006 .

[16]  Bo Guo,et al.  A maintenance optimization model for mission-oriented systems based on Wiener degradation , 2013, Reliab. Eng. Syst. Saf..

[17]  Xiaojun Zhou,et al.  Reliability-centered predictive maintenance scheduling for a continuously monitored system subject to degradation , 2007, Reliab. Eng. Syst. Saf..

[18]  Tangbin Xia,et al.  Operating load based real-time rolling grey forecasting for machine health prognosis in dynamic maintenance schedule , 2015, J. Intell. Manuf..

[19]  Ajith Kumar Parlikad,et al.  Condition-based maintenance of multi-component systems with degradation state-rate interactions , 2016, Reliab. Eng. Syst. Saf..

[20]  C. T. Barker,et al.  Optimal non-periodic inspection for a multivariate degradation model , 2009, Reliab. Eng. Syst. Saf..

[21]  Zhigang Tian,et al.  Condition based maintenance optimization for multi-component systems using proportional hazards model , 2011, Reliab. Eng. Syst. Saf..

[22]  Nan Chen,et al.  A Bayesian Approach to Condition Monitoring with Imperfect Inspections , 2015, Qual. Reliab. Eng. Int..

[23]  Hong-Bae Jun,et al.  On condition based maintenance policy , 2015, J. Comput. Des. Eng..

[24]  Yeh Lam An inspection-repair-replacement model for a deteriorating system with unobservable state , 2003 .

[25]  Christophe Bérenguer,et al.  An opportunistic condition-based maintenance policy for offshore wind turbine blades subjected to degradation and environmental shocks , 2015, Reliab. Eng. Syst. Saf..

[26]  V. Makis,et al.  Optimal condition-based maintenance policy for a partially observable system with two sampling intervals , 2014, The International Journal of Advanced Manufacturing Technology.

[27]  Ali Azadeh,et al.  An integrated systemic model for optimization of condition-based maintenance with human error , 2014, Reliab. Eng. Syst. Saf..

[28]  Christophe Bérenguer,et al.  Condition-based dynamic maintenance operations planning & grouping. Application to commercial heavy vehicles , 2011, Reliab. Eng. Syst. Saf..

[29]  Christophe Bérenguer,et al.  Predictive maintenance policy for a gradually deteriorating system subject to stress , 2009, Reliab. Eng. Syst. Saf..

[30]  M. Marseguerra,et al.  Simulation modelling of repairable multi-component deteriorating systems for 'on condition' maintenance optimisation , 2002, Reliab. Eng. Syst. Saf..

[31]  J. McCall Maintenance Policies for Stochastically Failing Equipment: A Survey , 1965 .

[32]  Lin Ma,et al.  Condition-based maintenance optimisation without a predetermined strategy structure for a two-component series system , 2012 .

[33]  Kishor S. Trivedi,et al.  Closed-form analytical results for condition-based maintenance , 2002, Reliab. Eng. Syst. Saf..

[34]  Donghua Zhou,et al.  Remaining useful life estimation - A review on the statistical data driven approaches , 2011, Eur. J. Oper. Res..

[35]  R. Jiang,et al.  Optimization of alarm threshold and sequential inspection scheme , 2010, Reliab. Eng. Syst. Saf..

[36]  Yong Sun,et al.  A review on degradation models in reliability analysis , 2010, WCE 2010.

[37]  Inmaculada Torres Castro,et al.  A condition-based maintenance of a dependent degradation-threshold-shock model in a system with multiple degradation processes , 2015, Reliab. Eng. Syst. Saf..

[38]  Xue Wang,et al.  Remaining Useful Life Prediction of Lithium-Ion Batteries Based on the Wiener Process with Measurement Error , 2014 .

[39]  Soumaya Yacout,et al.  Optimal condition based maintenance with imperfect information and the proportional hazards model , 2007 .

[40]  Ying Peng,et al.  Current status of machine prognostics in condition-based maintenance: a review , 2010 .

[41]  Adiel Teixeira de Almeida,et al.  A multi-criteria decision model to determine inspection intervals of condition monitoring based on delay time analysis , 2009, Reliab. Eng. Syst. Saf..

[42]  Antoine Grall,et al.  Continuous-time predictive-maintenance scheduling for a deteriorating system , 2002, IEEE Trans. Reliab..

[43]  Filippo De Carlo,et al.  Maintenance cost optimization in condition based maintenance: a case study for critical facilities , 2013 .

[44]  Lisa M. Maillart,et al.  Structured Replacement Policies for Components with Complex Degradation Processes and Dedicated Sensors , 2011, Oper. Res..

[45]  Rommert Dekker,et al.  Applications of maintenance optimization models : a review and analysis , 1996 .

[46]  Antoine Grall,et al.  Multi-level predictive maintenance for multi-component systems , 2015, Reliab. Eng. Syst. Saf..

[47]  Wenxing Zhou,et al.  Optimal condition-based maintenance decisions for systems with dependent stochastic degradation of components , 2014, Reliab. Eng. Syst. Saf..

[48]  Xiaojun Zhou,et al.  Condition-based maintenance for intelligent monitored series system with independent machine failure modes , 2013 .

[49]  H. Pham,et al.  Invited reviewImperfect maintenance , 1996 .

[50]  Maarten-Jan Kallen,et al.  Optimal periodic inspection of a deterioration process with sequential condition states , 2006 .

[51]  Jyotirmoy Sarkar,et al.  Availability of a periodically inspected system, maintained under an imperfect-repair policy , 2003, IEEE Trans. Reliab..

[52]  Weiwei Hu,et al.  Steady availability optimisation of repairable system with preventive maintenance policy , 2008, 2013 25th Chinese Control and Decision Conference (CCDC).

[53]  Antoine Grall,et al.  A condition-based maintenance policy with non-periodic inspections for a two-unit series system , 2005, Reliab. Eng. Syst. Saf..

[54]  Kishor S. Trivedi,et al.  Optimization for condition-based maintenance with semi-Markov decision process , 2005, Reliab. Eng. Syst. Saf..

[55]  Lina Bertling,et al.  An Approach for Condition-Based Maintenance Optimization Applied to Wind Turbine Blades , 2010, IEEE Transactions on Sustainable Energy.

[56]  Mahmut Parlar,et al.  A survey of maintenance models for multi-unit systems , 1991 .

[57]  Dan M. Frangopol,et al.  Optimization of Life-Cycle Maintenance of Deteriorating Bridges with Respect to Expected Annual System Failure Rate and Expected Cumulative Cost , 2014 .

[58]  Nan Chen,et al.  The Inverse Gaussian Process as a Degradation Model , 2014, Technometrics.

[59]  Hao Peng,et al.  A condition-based maintenance policy for multi-component systems with a high maintenance setup cost , 2015, OR Spectr..

[60]  Liliane Pintelon,et al.  A dynamic predictive maintenance policy for complex multi-component systems , 2013, Reliab. Eng. Syst. Saf..

[61]  María Dolores Berrade,et al.  Maintenance scheduling of a protection system subject to imperfect inspection and replacement , 2012, Eur. J. Oper. Res..

[62]  Dan M. Frangopol,et al.  Life-cycle maintenance of deteriorating structures by multi-objective optimization involving reliability, risk, availability, hazard and cost , 2014 .

[63]  Min Xie,et al.  Degradation-based maintenance decision using stochastic filtering for systems under imperfect maintenance , 2015, Eur. J. Oper. Res..

[64]  Y. S. Sherif,et al.  Optimal maintenance models for systems subject to failure–A Review , 1981 .

[65]  Hoang Pham,et al.  An inspection-maintenance model for systems with multiple competing processes , 2005, IEEE Transactions on Reliability.

[66]  Christophe Bérenguer,et al.  Condition‐Based Maintenance with Imperfect Preventive Repairs for a Deteriorating Production System , 2012, Qual. Reliab. Eng. Int..

[67]  Ali Azadeh,et al.  Condition-based maintenance effectiveness for series-parallel power generation system - A combined Markovian simulation model , 2015, Reliab. Eng. Syst. Saf..

[68]  Hongzhou Wang,et al.  A survey of maintenance policies of deteriorating systems , 2002, Eur. J. Oper. Res..

[69]  Benoît Iung,et al.  A proactive condition-based maintenance strategy with both perfect and imperfect maintenance actions , 2015, Reliab. Eng. Syst. Saf..

[70]  L. McLaughlin,et al.  Optimal design of a condition-based maintenance model , 2004, Annual Symposium Reliability and Maintainability, 2004 - RAMS.

[71]  Xiao Wang,et al.  An Inverse Gaussian Process Model for Degradation Data , 2010, Technometrics.

[72]  Dan M. Frangopol,et al.  Optimization of bridge maintenance strategies based on structural health monitoring information , 2011 .

[73]  Jeffrey P. Kharoufeh,et al.  Monotone optimal replacement policies for a Markovian deteriorating system in a controllable environment , 2010, Oper. Res. Lett..

[74]  Enrico Zio,et al.  Optimization of the inspection intervals of a safety system in a nuclear power plant by Multi-Objective Differential Evolution (MODE) , 2011, Reliab. Eng. Syst. Saf..

[75]  Min Xie,et al.  Stochastic modelling and analysis of degradation for highly reliable products , 2015 .

[76]  Fatih Camci,et al.  Comparison of genetic and binary particle swarm optimization algorithms on system maintenance scheduling using prognostics information , 2009 .

[77]  Ruud H. Teunter,et al.  Clustering condition-based maintenance for systems with redundancy and economic dependencies , 2016, Eur. J. Oper. Res..

[78]  Ling-Yau Chan,et al.  Maintenance of continuously monitored degrading systems , 2006, Eur. J. Oper. Res..

[79]  Yada Zhu,et al.  Availability optimization of systems subject to competing risk , 2010, Eur. J. Oper. Res..

[80]  Khac Tuan Huynh,et al.  Modeling age-based maintenance strategies with minimal repairs for systems subject to competing failure modes due to degradation and shocks , 2012, Eur. J. Oper. Res..

[81]  Daming Lin,et al.  A review on machinery diagnostics and prognostics implementing condition-based maintenance , 2006 .

[82]  Aparna Gupta,et al.  Strategically optimum maintenance of monitoring‐enabled multi‐component systems using continuous‐time jump deterioration models , 2006 .

[83]  Antoine Grall,et al.  Online maintenance policy for a deteriorating system with random change of mode , 2007, Reliab. Eng. Syst. Saf..

[84]  Xiaobing Ma,et al.  Reliability Modeling for Systems with Multiple Degradation Processes Using Inverse Gaussian Process and Copulas , 2014 .

[85]  David W. Coit,et al.  Safety constraints applied to an adaptive Bayesian condition-based maintenance optimization model , 2012, Reliab. Eng. Syst. Saf..

[86]  Heping Li,et al.  A condition-based maintenance policy for multi-component systems with Lévy copulas dependence , 2016, Reliab. Eng. Syst. Saf..

[87]  Mitra Fouladirad,et al.  On-line change detection and condition-based maintenance for systems with unknown deterioration parameters , 2014 .

[88]  Zhigang Tian,et al.  Condition based maintenance optimization considering multiple objectives , 2009, Journal of Intelligent Manufacturing.

[89]  Michael G. Pecht,et al.  Sensor Systems for Prognostics and Health Management , 2010, Sensors.

[90]  Yu Ding,et al.  Season-Dependent Condition-Based Maintenance for a Wind Turbine Using a Partially Observed Markov Decision Process , 2010, IEEE Transactions on Power Systems.

[91]  Antoine Grall,et al.  A sequential condition‐based repair/replacement policy with non‐periodic inspections for a system subject to continuous wear , 2003 .

[92]  María Dolores Berrade,et al.  Imperfect inspection and replacement of a system with a defective state: A cost and reliability analysis , 2013, Reliab. Eng. Syst. Saf..

[93]  Shahrul Kamaruddin,et al.  An overview of time-based and condition-based maintenance in industrial application , 2012, Comput. Ind. Eng..

[94]  Nan Chen,et al.  Condition-based maintenance using the inverse Gaussian degradation model , 2015, Eur. J. Oper. Res..

[95]  Mahesh D. Pandey,et al.  Stochastic analysis of shock process and modeling of condition-based maintenance , 2011, Reliab. Eng. Syst. Saf..

[96]  Luca Podofillini,et al.  Condition-based maintenance optimization by means of genetic algorithms and Monte Carlo simulation , 2002, Reliab. Eng. Syst. Saf..

[97]  Mahesh D. Pandey,et al.  Discounted cost model for condition-based maintenance optimization , 2010, Reliab. Eng. Syst. Saf..

[98]  Min Xie,et al.  A condition-based maintenance strategy for heterogeneous populations , 2014, Comput. Ind. Eng..

[99]  Yonggang Wu,et al.  Dynamic Control-limit Policy of Condition based Maintenance for the Hydroelectricity Generating Unit , 2014 .

[100]  Nagi Gebraeel,et al.  Stochastic modeling and real-time prognostics for multi-component systems with degradation rate interactions , 2014 .

[101]  Tongdan Jin,et al.  Condition based maintenance optimization for wind power generation systems under continuous monitoring , 2011 .

[102]  Philip A. Scarf,et al.  On the application of mathematical models in maintenance , 1997 .

[103]  Xiao Liu,et al.  Condition-based maintenance for continuously monitored degrading systems with multiple failure modes , 2013 .

[104]  Inmaculada Torres Castro,et al.  A condition-based maintenance for a system subject to multiple degradation processes and external shocks , 2015, Int. J. Syst. Sci..

[105]  Khac Tuan Huynh,et al.  A periodic inspection and replacement policy for systems subject to competing failure modes due to degradation and traumatic events , 2011, Reliab. Eng. Syst. Saf..

[106]  Soumaya Yacout,et al.  Optimal Stategies for non-costly and costly observations in Condition Based Maintenance , 2008 .

[107]  Francisco Germán Badía,et al.  Optimal inspection and preventive maintenance of units with revealed and unrevealed failures , 2002, Reliab. Eng. Syst. Saf..

[108]  Jan M. van Noortwijk,et al.  A survey of the application of gamma processes in maintenance , 2009, Reliab. Eng. Syst. Saf..

[109]  Georgia-Ann Klutke,et al.  The availability of inspected systems subject to shocks and graceful degradation , 2002, IEEE Trans. Reliab..

[110]  Mitra Fouladirad,et al.  Monitoring and condition-based maintenance with abrupt change in a system’s deterioration rate , 2015, Int. J. Syst. Sci..

[111]  Hoang Pham,et al.  Reliability and Optimal Maintenance , 2006 .

[112]  William P. Pierskalla,et al.  A survey of maintenance models: The control and surveillance of deteriorating systems , 1976 .

[113]  Cher Ming Tan,et al.  Optimal maintenance strategy of deteriorating system under imperfect maintenance and inspection using mixed inspection scheduling , 2013, Reliab. Eng. Syst. Saf..

[114]  Nozer D. Singpurwalla,et al.  Survival in Dynamic Environments , 1995 .

[115]  Wei Liang,et al.  Opportunistic predictive maintenance for complex multi-component systems based on DBN-HAZOP model , 2012 .

[116]  Leonardo P. Santiago,et al.  A condition-based maintenance policy and input parameters estimation for deteriorating systems under periodic inspection , 2011, Comput. Ind. Eng..

[117]  Khac Tuan Huynh,et al.  Multi-Level Decision-Making for The Predictive Maintenance of $k$ -Out-of-$n$ :F Deteriorating Systems , 2015, IEEE Transactions on Reliability.