Joint optimization of condition-based maintenance and spare part inventory for two-component system

ABSTRACT The joint optimization of condition-based opportunistic maintenance and (0,1)-type spare part inventory policy is investigated for a two-component system. Deterioration state-space partitioning (DSSP) of the observed state and the spare part inventory state is developed to analyze all the possible maintenance requirements of the system and calculate the probabilities of the actual maintenance activities with the restriction of the inventory state, as well as the probabilities of ordering and holding of spare parts. An expression of the stationary law of the joint state and its numeric solution are deduced based on an analysis of all the possible transitions of the joint state during an inspection cycle. Further, an expected long-run cost rate model of the operation of the system under the proposed policy was developed to determine the optimal joint strategy which involved a semi-regenerative process theory. Finally, numerical experiments were performed.

[1]  Shahrul Kamaruddin,et al.  Opportunistic maintenance (OM) as a new advancement in maintenance approaches , 2014 .

[2]  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..

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

[4]  Haitao Liao,et al.  Joint Production and Spare Part Inventory Control Strategy Driven by Condition Based Maintenance , 2010, IEEE Transactions on Reliability.

[5]  Alaa Chateauneuf,et al.  Opportunistic policy for optimal preventive maintenance of a multi-component system in continuous operating units , 2009, Comput. Chem. Eng..

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

[7]  Rommert Dekker,et al.  A review of multi-component maintenance models with economic dependence , 1997, Math. Methods Oper. Res..

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

[9]  Wenbin Wang,et al.  A prognostics-based spare part ordering and system replacement policy for a deteriorating system subjected to a random lead time , 2015 .

[10]  L. C. Thomas,et al.  A survey of maintenance and replacement models for maintainability and reliability of multi-item systems , 1986 .

[11]  Wenbin Wang,et al.  Spare parts demand : linking forecasting to equipment maintenance , 2011 .

[12]  Ruud H. Teunter,et al.  Joint condition-based maintenance and inventory optimization for systems with multiple components , 2017, Eur. J. Oper. Res..

[13]  Chen Zhang,et al.  Opportunistic maintenance for wind turbines considering imperfect, reliability-based maintenance , 2017 .

[14]  Alaa Elwany,et al.  Sensor-driven prognostic models for equipment replacement and spare parts inventory , 2008 .

[15]  Dirk Cattrysse,et al.  Joint maintenance and inventory optimization systems: A review , 2013 .

[16]  Antoine Grall,et al.  Condition-based maintenance for multi-component systems using importance measure and predictive information , 2014 .

[17]  Matthieu van der Heijden,et al.  Joint optimisation of spare part inventory, maintenance frequency and repair capacity for k-out-of-N systems , 2009 .

[18]  Wenbin Wang,et al.  A joint spare part and maintenance inspection optimisation model using the Delay-Time concept , 2011, Reliab. Eng. Syst. Saf..

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

[20]  Maxim Finkelstein,et al.  A proactive group maintenance policy for continuously monitored deteriorating systems: Application to offshore wind turbines , 2015 .

[21]  Jianchao Zeng,et al.  Real-time prediction of remaining useful life and preventive opportunistic maintenance strategy for multi-component systems considering stochastic dependence , 2016, Comput. Ind. Eng..

[22]  Peter W. Tse,et al.  Engineering Asset Management - Systems, Professional Practices and Certification , 2015 .

[23]  Liliane Pintelon,et al.  A Joint Predictive Maintenance and Inventory Policy , 2015 .

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

[25]  Weijie Mao,et al.  A condition-based order-replacement policy for a single-unit system , 2008 .

[26]  Ruhul A. Sarker,et al.  Optimization of maintenance and spare provisioning policy using simulation , 2000 .

[27]  Jianmin Zhao,et al.  Integrated decision on spare parts ordering and equipment maintenance under condition based maintenance strategy , 2015 .

[28]  Liliane Pintelon,et al.  The Effect of Maintenance Quality on Spare Parts Inventory for a Fleet of Assets , 2013, IEEE Transactions on Reliability.

[29]  Tasnim Ibn Faiz,et al.  Minimizing maintenance cost for offshore wind turbines following multi-level opportunistic preventive strategy , 2016 .

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

[31]  Makarand S. Kulkarni,et al.  Optimisation of opportunistic maintenance of a multi-component system considering the effect of failures on quality and production schedule: A case study , 2013 .

[32]  Xiaojun Zhou,et al.  Opportunistic preventive maintenance scheduling for a multi-unit series system based on dynamic programming , 2009 .

[33]  Lifeng Xi,et al.  Modeling and Analyzing a Joint Optimization Policy of Block-Replacement and Spare Inventory With Random-Leadtime , 2008, IEEE Transactions on Reliability.

[34]  Wenbin Wang,et al.  A stochastic model for joint spare parts inventory and planned maintenance optimisation , 2012, Eur. J. Oper. Res..

[35]  Rommert Dekker,et al.  Optimal maintenance of multi-component systems: a review , 2008 .

[36]  Dragan Banjevic,et al.  Condition-based spares ordering for critical components , 2011 .

[37]  Ling Wang,et al.  A condition-based replacement and spare provisioning policy for deteriorating systems with uncertain deterioration to failure , 2009, Eur. J. Oper. Res..

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

[39]  S. H. A. Farrash,et al.  Simulation of an integrated age replacement and spare provisioning policy using SLAM , 1996 .

[40]  Binfeng Li,et al.  (n, N) type maintenance policy for multi-component systems with failure interactions , 2015, Int. J. Syst. Sci..

[41]  Antoine Grall,et al.  Joint predictive maintenance and inventory strategy for multi-component systems using Birnbaum's structural importance , 2017, Reliab. Eng. Syst. Saf..

[42]  A. A. Kranenburg,et al.  Condition based spare parts supply , 2017, Reliab. Eng. Syst. Saf..

[43]  V. S. S. Yadavalli,et al.  Optimal spares and preventive maintenance frequencies for constrained industrial systems , 2013, Comput. Ind. Eng..

[44]  Bart De Schutter,et al.  Timely condition-based maintenance planning for multi-component systems , 2017, Reliab. Eng. Syst. Saf..

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

[46]  Jianchao Zeng,et al.  A general modeling method for opportunistic maintenance modeling of multi-unit systems , 2015, Reliab. Eng. Syst. Saf..

[47]  Tomasz Nowakowski,et al.  On problems of multicomponent system maintenance modelling , 2009, Int. J. Autom. Comput..

[48]  Alenka Hudoklin,et al.  Joint optimization of block-replacement and periodic-review spare-provisioning policy , 2003, IEEE Trans. Reliab..

[49]  Xitong Zheng,et al.  A maintenance policy for repairable systems based on opportunistic failure-rate tolerance , 1991 .

[50]  Shey-Huei Sheu,et al.  Optimal age-replacement policy of a system subject to shocks with random lead-time , 2004, Eur. J. Oper. Res..

[51]  Ruud H. Teunter,et al.  Condition-based maintenance policies for systems with multiple dependent components: A review , 2017, Eur. J. Oper. Res..

[52]  Min Xie,et al.  A game-theoretical approach for optimizing maintenance, spares and service capacity in performance contracting , 2015 .

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