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Optimal schedules of two periodic preventive maintenance policies and their comparison

  • Dohhon Kim
  • Jae-Hak Lim
  • Ming J. Zuo

Abstract

In this paper, we propose two types of PM actions among which one type of PM actions effect on the relative wear-out since the last PM action (local PM action) while another PM actions are effective in restoring global wear-out since equipment started operating (global PM action). Based on the proposed local and global PM actions, we develop two periodic PM policies which are called the type I PM policy and the type II PM policy, respectively. For each PM policy, we derive formulas to compute the expected cost rates of the system during its life cycle and investigate the optimal PM schedules, which are to minimize the expected cost rates. We also compare the local PM policy and the global PM policy under the assumption that the cost for the global PM action is higher than or equal to the cost for the local PM action. For the purpose of illustration of our results, we investigate numerically the sensitivity of optimal schedules.

Keywords

Optimal Number Hazard Rate Optimal Schedule Preventive Maintenance Improvement Factor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Refernces

  1. 1.
    Barlow R & Hunter L. (1960) Preventive maintenance policies. Operations Research, 9, 90-100.CrossRefMathSciNetGoogle Scholar
  2. 2.
    Pham H & Wang H. (1996) Imperfect maintenance. European Journal of Operations Research, 94, 425-438.MATHGoogle Scholar
  3. 3.
    Wang H. (2002) A survey of maintenance policies of deteriorating system. European Journal of Operations Research, 139, 469-489.MATHCrossRefGoogle Scholar
  4. 4.
    Malik M. (1979) Reliable preventive maintenance policy. AIIE Transactions, 11, 221-228.Google Scholar
  5. 5.
    Lie CH & Chun YH. (1986) An algorithm for preventive maintenance policy. IEEE Transactions on Reliability, 35, 71-75.MATHCrossRefGoogle Scholar
  6. 6.
    Canfield RV. (1986) Cost optimization of periodic preventive maintenance. IEEE Transactions on Reliability, 35, 78-81.MATHCrossRefGoogle Scholar
  7. 7.
    Jayabalan V & Chaudhuri D. (1992) Cost optimization of maintenance scheduling for a system with assured reliability. IEEE Transactions on Reliability, 41, 21-26.MATHCrossRefGoogle Scholar
  8. 8.
    Chan J & Shaw L. (1993) Modeling repairable systems with failure rates that depend on age and maintenance, IEEE Transactions on Reliability, 42, 566–571.MATHCrossRefGoogle Scholar
  9. 9.
    Doyen L & Gaudoin O. (2004) Classes of imperfect repair models based on reduction of failure intensity or virtual age. Reliability Engineering & System Safety, 84, 45-56.CrossRefGoogle Scholar
  10. 10.
    Lim JH & Park D. (2007) Optimal periodic preventive maintenance schedules with improvement factors depending on number of preventive maintenances. Asia-Pacific Journal of Operational Research, 24, 111-124.MATHCrossRefMathSciNetGoogle Scholar
  11. 11.
    Bartholomew-Biggs M, Zuo MJ & Li XM. (2009) Modelling and Optimizing Sequential Imperfect Preventive Maintenance. Reliability Engineering & System Safety, 94, 53-62.CrossRefGoogle Scholar
  12. 12.
    Fontenot RA & Proschan F. (1984) Some imperfect maintenance models. In M S Abdel-Hameed, E Cinlar, and J Quinn. (Eds) Reliability Theory and Models, Academic Press, San Diego.Google Scholar
  13. 13.
    Nakagawa T. (1986) Periodic and sequential preventive maintenance policies. Journal of Applied Probability, 23, 536-542.MATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  • Dohhon Kim
    • 1
  • Jae-Hak Lim
    • 2
  • Ming J. Zuo
    • 3
  1. 1.Graduate SchoolKyonggi UniversitySuwonKorea, Republic of
  2. 2.Department of AccountingHanbat National UniversityDaejonKorea, Republic of
  3. 3.Department of Mechanical EngineeringUniversity of AlbertaEdmontonCanada

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