A Stationary Grouping Maintenance Strategy Using Mean Residual Life and the Birnbaum Importance Measure for Complex Structures

This paper presents a stationary grouping maintenance strategy for multi-component systems whose structure could be a mixture of the basic structures such as series structures, parallel structures, k-out-of n, etc. The proposed preventive maintenance decision-making rules are based on the joint consideration of the mean remaining lifetime (MRL), which represents the mean lifetime left before the failure of components, and Birnbaum's importance measure providing the important role of the components in the system structure. For corrective maintenance actions, adaptive corrective decision rules taking into account the criticality of components are introduced. Besides, a cost model considering economic and structural dependences among components are also developed. Moreover, to find the optimal maintenance plan, both analytical calculation and hybrid simulation-analysis are herein proposed. Finally, the use and the advantages of the proposed grouping strategy are illustrated through a case study of a substation automation system.

[1]  I. Gertsbakh Optimal group preventive maintenance of a system with observable state parameter , 1984 .

[2]  Hoang Pham,et al.  A Generalized Block Replacement Policy for a $k$ -Out-of-$n$ System With Respect to Threshold Number of Failed Components and Risk Costs , 2012, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[3]  Hamze Hajian-Hoseinabadi Availability Comparison of Various Power Substation Automation Architectures , 2013, IEEE Transactions on Power Delivery.

[4]  Shenggui Zhang,et al.  Integrated Importance Measure of Component States Based on Loss of System Performance , 2012, IEEE Transactions on Reliability.

[5]  Phuc Do,et al.  Maintenance grouping strategy for multi-component systems with dynamic contexts , 2014, Reliab. Eng. Syst. Saf..

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

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

[8]  Murad S. Samhouri An intelligent opportunistic maintenance (OM) system: A genetic algorithm approach , 2009, 2009 IEEE Toronto International Conference Science and Technology for Humanity (TIC-STH).

[9]  Z. Birnbaum,et al.  A new family of life distributions , 1969 .

[10]  Khac Tuan Huynh,et al.  On the Use of Mean Residual Life as a Condition Index for Condition-Based Maintenance Decision-Making , 2014, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[11]  W.M.J. Geraerds The cost of downtime for maintenance : preliminary considerations , 1984 .

[12]  Jovica V. Milanovic,et al.  Estimation of Cost of Downtime of Industrial Process Due to Voltage Sags , 2011 .

[13]  Way Kuo,et al.  Importance Measures in Reliability, Risk, and Optimization: Principles and Applications , 2012 .

[14]  Hamze Hajian-Hoseinabadi Reliability and component importance analysis of substation automation systems , 2013 .

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

[16]  S. Sheu,et al.  A generalized group maintenance policy , 1997 .

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

[18]  Farouk Yalaoui,et al.  New methods to minimize the preventive maintenance cost of series-parallel systems using ant colony optimization , 2005, Reliab. Eng. Syst. Saf..

[19]  Shudong Sun,et al.  The Integrated Importance Measure of Multi-State Coherent Systems for Maintenance Processes , 2012, IEEE Transactions on Reliability.

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

[21]  Frank A. Tillman,et al.  System-Reliability Evaluation Techniques for Complex/Large SystemsߞA Review , 1981, IEEE Transactions on Reliability.

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

[23]  Christophe Bérenguer,et al.  From differential to difference importance measures for Markov reliability models , 2010, Eur. J. Oper. Res..

[24]  C. E. Love,et al.  Utilizing Weibull Failure Rates in Repair Limit Analysis for Equipment Replacement/Preventive Maintenance Decisions , 1996 .

[25]  Christophe Bérenguer,et al.  Reliability importance analysis of Markovian systems at steady state using perturbation analysis , 2008, Reliab. Eng. Syst. Saf..

[26]  Terje Aven,et al.  On the use of uncertainty importance measures in reliability and risk analysis , 2010, Reliab. Eng. Syst. Saf..

[27]  Christophe Bérenguer,et al.  Dynamic grouping maintenance with time limited opportunities , 2013, Reliab. Eng. Syst. Saf..

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

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

[30]  Christophe Bérenguer,et al.  Maintenance activities planning and grouping for complex structure systems , 2012 .

[31]  Lirong Cui,et al.  Component Importance for Multi-State System Lifetimes With Renewal Functions , 2014, IEEE Transactions on Reliability.

[32]  Xiaoyan Zhu,et al.  Relations and Generalizations of Importance Measures in Reliability , 2012, IEEE Transactions on Reliability.

[33]  Farouk Yalaoui,et al.  New method to minimize the preventive maintenance cost of series-parallel systems , 2003, Reliab. Eng. Syst. Saf..

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

[35]  M. van der Borst,et al.  An overview of PSA importance measures , 2001, Reliab. Eng. Syst. Saf..

[36]  Christophe Bérenguer,et al.  Dynamic Grouping Maintenance for Complex Structure Systems with Non-Negligible Replacement Time , 2012 .

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

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

[39]  Richard M. Feldman,et al.  A survey of preventive maintenance models for stochastically deteriorating single-unit systems , 1989 .

[40]  Marvin Rausand,et al.  System Reliability Theory: Models, Statistical Methods, and Applications , 2003 .

[41]  C. V. Ramamoorthy,et al.  RBD tools using compression, decompression, hybrid techniques to code, decode, and compute reliability in simple and complex embedded systems , 2005, IEEE Transactions on Instrumentation and Measurement.

[42]  Ning Wang,et al.  Integrated importance based maintenance decision making , 2012, 2012 Proceedings Annual Reliability and Maintainability Symposium.

[43]  Min Xie,et al.  A value-based preventive maintenance policy for multi-component system with continuously degrading components , 2014, Reliab. Eng. Syst. Saf..

[44]  Emanuele Borgonovo Differential, criticality and Birnbaum importance measures: An application to basic event, groups and SSCs in event trees and binary decision diagrams , 2007, Reliab. Eng. Syst. Saf..

[45]  Michael Scriabin,et al.  Maintenance Scheduling for Multicomponent Equipment , 1977 .

[46]  Shaomin Wu,et al.  A cost-based importance measure for system components: An extension of the Birnbaum importance , 2013, Eur. J. Oper. Res..

[47]  Djamil Aïssani,et al.  Preventive maintenance scheduling for a multi-component system with non-negligible replacement time , 2010, Int. J. Syst. Sci..

[48]  Phuc Do,et al.  Maintenance planning and dynamic grouping for multi-component systems with positive and negative economic dependencies , 2015 .

[49]  Christophe Bérenguer,et al.  Grouping maintenance strategy with availability constraint under limited repairmen , 2012 .