IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v36y1989i4p419-446.html
   My bibliography  Save this article

A survey of preventive maintenance models for stochastically deteriorating single‐unit systems

Author

Listed:
  • Ciriaco Valdez‐Flores
  • Richard M. Feldman

Abstract

A survey of the research done on preventive maintenance is presented. The scope of the present survey is on the research published after the 1976 paper by Pierskalla and Voelker [98]. This article includes optimization models for repair, replacement, and inspection of systems subject to stochastic deterioration. A classification scheme is used that categorizes recent research into inspection models, minimal repair models, shock models, or miscellaneous replacement models.

Suggested Citation

  • Ciriaco Valdez‐Flores & Richard M. Feldman, 1989. "A survey of preventive maintenance models for stochastically deteriorating single‐unit systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(4), pages 419-446, August.
    • Handle: RePEc:wly:navres:v:36:y:1989:i:4:p:419-446
    DOI: 10.1002/1520-6750(198908)36:43.0.CO;2-5
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/1520-6750(198908)36:43.0.CO;2-5
    Download Restriction: no
    File URL: https://libkey.io/10.1002/1520-6750(198908)36:43.0.CO;2-5?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. D. G. Nguyen & D. N. P. Murthy, 1981. "Optimal Preventive Maintenance Policies for Repairable Systems," Operations Research, INFORMS, vol. 29(6), pages 1181-1194, December.
    2. Hanan Luss, 1976. "Maintenance Policies When Deterioration Can be Observed by Inspections," Operations Research, INFORMS, vol. 24(2), pages 359-366, April.
    3. John J. McCall, 1965. "Maintenance Policies for Stochastically Failing Equipment: A Survey," Management Science, INFORMS, vol. 11(5), pages 493-524, March.
    4. F. Beichelt, 1981. "Minimax inspection strategies for single unit systems," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 28(3), pages 375-381, September.
    5. S. D. Chikte & S. D. Deshmukh, 1981. "Preventive maintenance and replacement under additive damage," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 28(1), pages 33-46, March.
    6. Robert F. Anderson & Avner Friedman, 1978. "Optimal Inspections in a Stochastic Control Problem with Costly Observations, II," Mathematics of Operations Research, INFORMS, vol. 3(1), pages 67-81, February.
    7. Menachem Berg & Benjamin Epstein, 1979. "A note on a modified block replacement policy for units with increasing marginal running costs," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 26(1), pages 157-160, March.
    8. C. Derman & G. J. Lieberman & S. M. Ross, 1984. "On the Use of Replacements to Extend System Life," Operations Research, INFORMS, vol. 32(3), pages 616-627, June.
    9. Richard M. Feldman, 1977. "Optimal Replacement with Semi-Markov Shock Models Using Discounted Costs," Mathematics of Operations Research, INFORMS, vol. 2(1), pages 78-90, February.
    10. Philip J. Boland & Frank Proschan, 1983. "Optimum Replacement of a System Subject to Shocks," Operations Research, INFORMS, vol. 31(4), pages 697-704, August.
    11. Z. Kander, 1978. "Inspection policies for deteriorating equipment characterized by n quality levels," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 25(2), pages 243-255, June.
    12. Nakagawa, Toshio, 1984. "A summary of discrete replacement policies," European Journal of Operational Research, Elsevier, vol. 17(3), pages 382-392, September.
    13. S. Christian Albright, 1979. "Structural Results for Partially Observable Markov Decision Processes," Operations Research, INFORMS, vol. 27(5), pages 1041-1053, October.
    14. Toshio Nakagawa, 1984. "Periodic inspection policy with preventive maintenance," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 31(1), pages 33-40, March.
    15. Robert F. Anderson & Avner Friedman, 1977. "Optimal Inspections in a Stochastic Control Problem with Costly Observations," Mathematics of Operations Research, INFORMS, vol. 2(2), pages 155-190, May.
    16. Michael Q. Anderson, 1981. "Monotone optimal preventive maintenance policies for stochastically failing equipment," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 28(3), pages 347-358, September.
    17. Chung‐Kuang Chou & David A. Butler, 1983. "Assessment of hazardous‐inspection policies," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 30(1), pages 171-177, March.
    18. George E. Monahan, 1982. "State of the Art---A Survey of Partially Observable Markov Decision Processes: Theory, Models, and Algorithms," Management Science, INFORMS, vol. 28(1), pages 1-16, January.
    19. Toshio Nakagawa, 1984. "Optimal policy of continuous and discrete replacement with minimal repair at failure," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 31(4), pages 543-550, December.
    20. William P. Pierskalla & John A. Voelker, 1976. "A survey of maintenance models: The control and surveillance of deteriorating systems," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 23(3), pages 353-388, September.
    21. E. Nummelin, 1980. "A General Failure Model: Optimal Replacement with State Dependent Replacement and Failure Costs," Mathematics of Operations Research, INFORMS, vol. 5(3), pages 381-387, August.
    22. Philip J. Boland, 1982. "Periodic replacement when minimal repair costs vary with time," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 29(4), pages 541-546, December.
    23. Gary Gottlieb, 1982. "Optimal Replacement for Shock Models with General Failure Rate," Operations Research, INFORMS, vol. 30(1), pages 82-92, February.
    24. Peter Kolesar, 1966. "Minimum Cost Replacement Under Markovian Deterioration," Management Science, INFORMS, vol. 12(9), pages 694-706, May.
    25. Philip J. Boland & Frank Proschan, 1982. "Periodic Replacement with Increasing Minimal Repair Costs at Failure," Operations Research, INFORMS, vol. 30(6), pages 1183-1189, December.
    26. Norihiro Mizuno, 1986. "Generalized Mathematical Programming for Optimal Replacement in a Semi-Markov Shock Model," Operations Research, INFORMS, vol. 34(5), pages 790-795, October.
    27. Nakagawa, Toshio & Kowada, Masashi, 1983. "Analysis of a system with minimal repair and its application to replacement policy," European Journal of Operational Research, Elsevier, vol. 12(2), pages 176-182, February.
    28. Menachem Berg, 1984. "A Preventive Replacement Policy for Units Subject to Intermittent Demand," Operations Research, INFORMS, vol. 32(3), pages 584-595, June.
    29. Toshio Nakagawa, 1986. "Modified discrete preventive maintenance policies," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 33(4), pages 703-715, November.
    30. R. Cléroux & S. Dubuc & C. Tilquin, 1979. "The Age Replacement Problem with Minimal Repair and Random Repair Costs," Operations Research, INFORMS, vol. 27(6), pages 1158-1167, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. C. Teresa Lam & R. H. Yeh, 1994. "Optimal replacement policies for multistate deteriorating systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(3), pages 303-315, April.
    2. Yu-Hung Chien & Chin-Chih Chang & Shey-Huei Sheu, 2010. "Optimal age-replacement model with age-dependent type of failure and random lead time based on a cumulative repair-cost limit policy," Annals of Operations Research, Springer, vol. 181(1), pages 723-744, December.
    3. Barbera, Fran & Schneider, Helmut & Watson, Ed, 1999. "A condition based maintenance model for a two-unit series system," European Journal of Operational Research, Elsevier, vol. 116(2), pages 281-290, July.
    4. Sheu, Shey-Huei & Liu, Tzu-Hsin & Zhang, Zhe-George, 2019. "Extended optimal preventive replacement policies with random working cycle," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 398-415.
    5. Shey-Huei Sheu & Chin-Chih Chang & Yu-Hung Chien, 2011. "Optimal age-replacement time with minimal repair based on cumulative repair-cost limit for a system subject to shocks," Annals of Operations Research, Springer, vol. 186(1), pages 317-329, June.
    6. Yeek-Hyun Kim & Lyn Thomas, 2013. "Training and repair policies for stand-by systems," Annals of Operations Research, Springer, vol. 208(1), pages 469-487, September.
    7. H. W. Block & W. S. Borges & T. H. Savits, 1988. "A general age replacement model with minimal repair," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(5), pages 365-372, October.
    8. Shey-Huei Sheu & Tzu-Hsin Liu & Zhe-George Zhang & Hsin-Nan Tsai & Jung-Chih Chen, 2016. "Optimal two-threshold replacement policy in a cumulative damage model," Annals of Operations Research, Springer, vol. 244(1), pages 23-47, September.
    9. Chernonog, Tatyana & Avinadav, Tal, 2016. "A two-state partially observable Markov decision process with three actionsAuthor-Name: Ben-Zvi, Tal," European Journal of Operational Research, Elsevier, vol. 254(3), pages 957-967.
    10. Wallace J. Hopp & Sung‐Chi Wu, 1988. "Multiaction maintenance under markovian deterioration and incomplete state information," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(5), pages 447-462, October.
    11. Ruey Yeh & Cheng-Kang Chen, 2006. "Periodical Preventive-Maintenance Contract for a Leased Facility with Weibull Life-Time," Quality & Quantity: International Journal of Methodology, Springer, vol. 40(2), pages 303-313, April.
    12. Stadje, Wolfgang & Zuckerman, Dror, 1996. "A generalized maintenance model for stochastically deteriorating equipment," European Journal of Operational Research, Elsevier, vol. 89(2), pages 285-301, March.
    13. Wang, Hongzhou, 2002. "A survey of maintenance policies of deteriorating systems," European Journal of Operational Research, Elsevier, vol. 139(3), pages 469-489, June.
    14. Steven M. Shechter & Matthew D. Bailey & Andrew J. Schaefer, 2008. "Replacing nonidentical vital components to extend system life," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(7), pages 700-703, October.
    15. Kut C. So, 1992. "Optimality of control limit policies in replacement models," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(5), pages 685-697, August.
    16. Sheu, Shey-Huei & Chang, Chin-Chih & Zhang, Zhe George & Chien, Yu-Hung, 2012. "A note on replacement policy for a system subject to non-homogeneous pure birth shocks," European Journal of Operational Research, Elsevier, vol. 216(2), pages 503-508.
    17. Schouten, Thijs Nicolaas & Dekker, Rommert & Hekimoğlu, Mustafa & Eruguz, Ayse Sena, 2022. "Maintenance optimization for a single wind turbine component under time-varying costs," European Journal of Operational Research, Elsevier, vol. 300(3), pages 979-991.
    18. Sheu, Shey-Huei, 1998. "A generalized age and block replacement of a system subject to shocks," European Journal of Operational Research, Elsevier, vol. 108(2), pages 345-362, July.
    19. David T. Abdul‐Malak & Jeffrey P. Kharoufeh & Lisa M. Maillart, 2019. "Maintaining systems with heterogeneous spare parts," Naval Research Logistics (NRL), John Wiley & Sons, vol. 66(6), pages 485-501, September.
    20. Belyi, Dmitriy & Popova, Elmira & Morton, David P. & Damien, Paul, 2017. "Bayesian failure-rate modeling and preventive maintenance optimization," European Journal of Operational Research, Elsevier, vol. 262(3), pages 1085-1093.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:navres:v:36:y:1989:i:4:p:419-446. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1520-6750 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.