A condition-based maintenance model for a single component in a system with scheduled and unscheduled downs

We introduce a maintenance model for a single component that is part of a complex engineering system and has a monotic, stochastic degradation process. For this component, a warning limit is given and we use a condition-based maintenance (CBM) policy. The other components in the system are assumed to follow failure-based and periodic maintenance policies and their maintenance actions lead to unscheduled and scheduled downs of the system. These downs constitute opportunities for the single CBM component. If the degradation is at or above a control limit at an unscheduled or scheduled down, the component is replaced preventively and one saves on downtime and setup costs. We derive an efficient and accurate approximate evaluation procedure. Further, we show that this approximate evaluation leads to a close-to-optimal control limit policy when used within the optimization procedure and we show the potential savings when both unscheduled and scheduled downs are used as opportunities for the CBM component. Finally, we demonstrate that our model can be well used as a building block to solve multi-component CBM problems with many components.

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

[2]  Averill M. Law,et al.  Simulation Modeling and Analysis , 1982 .

[3]  Viliam Makis,et al.  Optimal component replacement decisions using vibration monitoring and the proportional-hazards model , 2002, J. Oper. Res. Soc..

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

[5]  Hans Wortmann,et al.  Condition based maintenance in the context of opportunistic maintenance , 2012 .

[6]  Sheldon M. Ross,et al.  Stochastic Processes , 2018, Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics.

[7]  Nagi Gebraeel,et al.  Sensory-Updated Residual Life Distributions for Components With Exponential Degradation Patterns , 2006, IEEE Transactions on Automation Science and Engineering.

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

[9]  X. Jiang,et al.  Optimal Replacement Under Partial Observations , 2003, Math. Oper. Res..

[10]  C. Joseph Lu,et al.  Using Degradation Measures to Estimate a Time-to-Failure Distribution , 1993 .

[11]  Rong Li,et al.  Residual-life distributions from component degradation signals: A Bayesian approach , 2005 .

[12]  V. Makis,et al.  Recursive filters for a partially observable system subject to random failure , 2003, Advances in Applied Probability.

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

[14]  Jeffrey P. Kharoufeh,et al.  Semi-Markov models for degradation-based reliability , 2010 .

[15]  W. Wang A model to determine the optimal critical level and the monitoring intervals in condition-based maintenance , 2000 .

[16]  Diederik J.D. Wijnmalen,et al.  Coordinated condition-based repair strategies for components of a multi-component maintenance system with discounts , 1997 .

[17]  Rommert Dekker,et al.  A Dynamic Policy for Grouping Maintenance Activities , 1997 .

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

[19]  Carey Bunks,et al.  CONDITION-BASED MAINTENANCE OF MACHINES USING HIDDEN MARKOV MODELS , 2000 .

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

[21]  Antoine Grall,et al.  Sequential condition-based maintenance scheduling for a deteriorating system , 2003, Eur. J. Oper. Res..

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

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

[24]  Tiedo Tinga,et al.  Reducing costs by clustering maintenance activities for multiple critical units , 2016, Reliab. Eng. Syst. Saf..

[25]  Kyung S. Park,et al.  Optimal continuous-wear limit replacement under periodic inspections , 1988 .

[26]  I. Alsyouf Maintenance practices in Swedish industries: Survey results , 2009 .

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

[28]  Antoine Grall,et al.  A condition-based maintenance policy for stochastically deteriorating systems , 2002, Reliab. Eng. Syst. Saf..

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

[30]  K. S. Park Optimal wear-limit replacement with wear-dependent failures , 1988 .

[31]  H Hao Peng,et al.  Remote monitoring and condition-based maintenance for high-tech capital goods , 2014 .

[32]  Wenbin Wang,et al.  A case study of condition based maintenance modelling based upon the oil analysis data of marine diesel engines using stochastic filtering , 2012 .

[33]  P. M. Anderson,et al.  Application of the weibull proportional hazards model to aircraft and marine engine failure data , 1987 .

[34]  Robert N. Boute,et al.  A hybrid condition-based maintenance policy for continuously monitored components with two degradation thresholds , 2018, Eur. J. Oper. Res..

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

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

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

[38]  Jim Freeman,et al.  Stochastic Processes (Second Edition) , 1996 .

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

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