Author(s)

Deng Jianhui ¹, Liu Yanyan ², Huang Jine ¹, Hao Jia ¹

Affiliation(s)

¹ PLA 92942, Beijing, China
² School of Mechanical Engineering, University of Science and Technology Beijing, Beijing, China

Corresponding Author

Liu Yanyan

ABSTRACT

In the maintenance decision-making problem of a multi-state system, it is more in line with the actual situation to consider imperfect maintenance. However, under the influence of imperfect maintenance, the failure mechanism and maintenance process of the multi-state system are more complicated. Further discussion is needed about how to deal with the relationship between the states of various components and the overall state of the system, and how to make the optimal maintenance strategy. To address this issue, this paper proposes a multi-state system maintenance decision optimization method considering imperfect maintenance. Firstly, an imperfect maintenance model is established based on quasi-renewal theory. Secondly, the mapping relationship between the state of the components and the system is decoupled combining universal generating function with the non-homogeneous continuous-time Markov model, the reliability evaluation of the multi-state system is realized. Finally, the maintenance decision optimizing model considering imperfect maintenance is constructed, the optimal maintenance strategy of the multi-state system is obtained by optimizing the number of imperfect maintenance actions to maximize the expected benefit of the whole life cycle.

KEYWORDS

Multi-state system, imperfect maintenance, maintenance decision-making, quasi-renewal process, non-homogeneous continuous-time Markov

CITE THIS PAPER

Deng Jianhui, Liu Yanyan, Huang Jine, Hao Jia, Maintenance Decision Optimization of Multi-State System Considering Imperfect Maintenance. Industrial Engineering and Innovation Management (2022) Vol. 5: 16-24. DOI: http://dx.doi.org/10.23977/ieim.2022.050803.

REFERENCES

[1] Zhang Y L , Wang G J . An optimal replacement policy for a multistate degenerative simple system [J]. Applied Mathematical Modelling, 2010, 34(12):P.4138-4150.
[2] Ning Wang, ShudongSun, Shubin Si. Optimal Predictive Maintenance Policy for Multi-State Deteriorating System under Periodic Inspections [J]. 2010 IEEE: p. 631-637.
[3] Chen M , Jiang Y , Zhou D . Decentralized Maintenance for Multistate Systems With Heterogeneous Components[J]. IEEE Transactions on Reliability, 2018:1-14.
[4] Attia A F, Elela E D A ,Hosham H A . The Optimal Warranty and Preventive Maintenance Policy for the Four-State System [J]. Isrn Applied Mathematics, 2011:722-736.
[5] Zhang L, Zhou Y, Huang C. An approximate hybrid approach to maintenance optimisation for a system with multistate components [J]. International Journal of System Assurance Engineering and Management, 2017, 8(1):189-196.
[6] Lisnianski A. Extended block diagram method for a multi-state system reliability assessment [J]. Reliability Engineering & System Safety, 2007, 92 (12): 1601-1607.
[7] Trivedi K S. Probability and statistics with reliability queuing, and computer science applications[M]. Probability and statistics with reliability, queuing, and computer science applications, 2019,pp:102-114,. 
[8] Liu Y W ,Kapur K C . Customer's Cumulative Experience Measures for Reliability of Non-Repairable Aging Multi-State Systems[J]. Quality Technology & Quantitative Management, 2007, 4(2):225-234.
[9] Jain M , Shekhar C , Shukla S . A time-shared machine repair problem with mixed spares under N-policy [J]. Journal of Industrial Engineering International, 2016, 12(2) : 145-157.

Sponsors, Associates, and Links

---

• Information Systems and Economics
  
  
• Accounting, Auditing and Finance
  
  
• Tourism Management and Technology Economy
  
  
• Journal of Computational and Financial Econometrics
  
  
• Financial Engineering and Risk Management
  
  
• Accounting and Corporate Management
  
  
• Social Security and Administration Management
  
  
• Population, Resources & Environmental Economics
  
  
• Statistics & Quantitative Economics
  
  
• Agricultural & Forestry Economics and Management
  
  
• Social Medicine and Health Management
  
  
• Land Resource Management
  
  
• Information, Library and Archival Science
  
  
• Journal of Human Resource Development
  
  
• Manufacturing and Service Operations Management
  
  
• Operational Research and Cybernetics