A condition-based maintenance policy for degrading systems with age- and state-dependent operating cost

Bin Liu, Shaomin Wu, Min Xie, Way Kuo

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

Most of the maintenance policies in existing publications assume that no cost is incurred as long as the system can undertake missions while little consideration has been devoted to the operating cost during system operation. However, in practice, the operating cost increases while the system ages and degrades even if a system is in a functioning state. This paper proposes a maintenance policy for a degrading system with age- and state-dependent operating cost, which increases with system age and degradation levels. Under such a setting, a replacement model is first developed to investigate the optimal preventive replacement policy. The replacement model is then extended to a repair-replacement model, in which imperfect repair is assumed to restore the system to the operating condition. Particularly, the repair model with controllable and uncontrollable repair levels is considered separately. The paper proves that the optimal maintenance policy is actually a monotone control limit policy, where the optimal control limits decrease monotonically with system age. Finally, a numerical example along with sensitivity analysis is presented to illustrate the optimal maintenance policy. The proposed model implies a more conservative maintenance policy, compared with the traditional model without the age- and state-dependent operating cost.
LanguageEnglish
Pages879-887
Number of pages9
JournalEuropean Journal of Operational Research
Volume263
Issue number3
Early online date11 May 2017
DOIs
Publication statusPublished - 16 Dec 2017

Fingerprint

Condition-based Maintenance
Maintenance Policy
Operating costs
Dependent
Costs
Repair
Replacement
Optimal Policy
Imperfect Repair
Model
Replacement Policy
Sensitivity analysis
Condition-based maintenance
Sensitivity Analysis
Degradation
Monotone
Optimal Control
Imply
Numerical Examples
Decrease

Keywords

  • (T) maintenance
  • condition-based maintenance
  • age- and state-dependent operating cost
  • side effect of degradation
  • control limit policy

Cite this

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abstract = "Most of the maintenance policies in existing publications assume that no cost is incurred as long as the system can undertake missions while little consideration has been devoted to the operating cost during system operation. However, in practice, the operating cost increases while the system ages and degrades even if a system is in a functioning state. This paper proposes a maintenance policy for a degrading system with age- and state-dependent operating cost, which increases with system age and degradation levels. Under such a setting, a replacement model is first developed to investigate the optimal preventive replacement policy. The replacement model is then extended to a repair-replacement model, in which imperfect repair is assumed to restore the system to the operating condition. Particularly, the repair model with controllable and uncontrollable repair levels is considered separately. The paper proves that the optimal maintenance policy is actually a monotone control limit policy, where the optimal control limits decrease monotonically with system age. Finally, a numerical example along with sensitivity analysis is presented to illustrate the optimal maintenance policy. The proposed model implies a more conservative maintenance policy, compared with the traditional model without the age- and state-dependent operating cost.",
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A condition-based maintenance policy for degrading systems with age- and state-dependent operating cost. / Liu, Bin; Wu, Shaomin; Xie, Min; Kuo, Way.

In: European Journal of Operational Research, Vol. 263, No. 3, 16.12.2017, p. 879-887.

Research output: Contribution to journalArticle

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AU - Kuo, Way

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