IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v55y2008i7p700-703.html
   My bibliography  Save this article

Replacing nonidentical vital components to extend system life

Author

Listed:
  • Steven M. Shechter
  • Matthew D. Bailey
  • Andrew J. Schaefer

Abstract

We consider a system that depends on a single vital component. If this component fails, the system life will terminate. If the component is replaced before its failure then the system life may be extended; however, there are only a finite number of spare components. In addition, the lifetimes of these spare components are not necessarily identically distributed. We propose a model for scheduling component replacements so as to maximize the expected system survival. We find the counterintuitive result that when comparing components' general lifetime distributions based on stochastic orderings, not even the strongest ordering provides an a priori guarantee of the optimal sequencing of components. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008

Suggested Citation

  • 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.
    • Handle: RePEc:wly:navres:v:55:y:2008:i:7:p:700-703
    DOI: 10.1002/nav.20312
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/nav.20312
    Download Restriction: no
    File URL: https://libkey.io/10.1002/nav.20312?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. Jardine, A. K. S. & Buzacott, J. A., 1985. "Equipment reliability and maintenance," European Journal of Operational Research, Elsevier, vol. 19(3), pages 285-296, March.
    2. 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.
    3. John J. McCall, 1965. "Maintenance Policies for Stochastically Failing Equipment: A Survey," Management Science, INFORMS, vol. 11(5), pages 493-524, March.
    4. 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.
    5. Wang, Hongzhou, 2002. "A survey of maintenance policies of deteriorating systems," European Journal of Operational Research, Elsevier, vol. 139(3), pages 469-489, June.
    6. 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.
    7. Y. S. Sherif & M. L. Smith, 1981. "Optimal maintenance models for systems subject to failure–A Review," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 28(1), pages 47-74, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Kai He & Lisa M. Maillart & Oleg A. Prokopyev, 2019. "Optimal sequencing of heterogeneous, non-instantaneous interventions," Annals of Operations Research, Springer, vol. 276(1), pages 109-135, May.

    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. Alireza Sabouri & Woonghee Tim Huh & Steven M. Shechter, 2017. "Screening Strategies for Patients on the Kidney Transplant Waiting List," Operations Research, INFORMS, vol. 65(5), pages 1131-1146, October.
    2. 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.
    3. 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.
    4. Lisa M. Maillart & Xiang Fang, 2006. "Optimal maintenance policies for serial, multi‐machine systems with non‐instantaneous repairs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 53(8), pages 804-813, December.
    5. Retsef Levi & Thomas Magnanti & Yaron Shaposhnik, 2019. "Scheduling with Testing," Management Science, INFORMS, vol. 65(2), pages 776-793, February.
    6. Pinciroli, Luca & Baraldi, Piero & Zio, Enrico, 2023. "Maintenance optimization in industry 4.0," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
    7. Wang, Wei & Wu, Zhiying & Xiong, Junlin & Xu, Yaofeng, 2018. "Redundancy optimization of cold-standby systems under periodic inspection and maintenance," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 394-402.
    8. Kai He & Lisa M. Maillart & Oleg A. Prokopyev, 2019. "Optimal sequencing of heterogeneous, non-instantaneous interventions," Annals of Operations Research, Springer, vol. 276(1), pages 109-135, May.
    9. 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.
    10. 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.
    11. 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.
    12. Badía, F.G. & Berrade, M.D. & Cha, Ji Hwan & Lee, Hyunju, 2018. "Optimal replacement policy under a general failure and repair model: Minimal versus worse than old repair," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 362-372.
    13. 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.
    14. Dmitry BANNIKOV & Nina SIRINA & Alexander SMOLYANINOV, 2018. "Model Of The Maintenance And Repair System In Service Maintenance Management," Transport Problems, Silesian University of Technology, Faculty of Transport, vol. 13(3), pages 5-14, September.
    15. Scott G. Frickenstein & Lyn R. Whitaker, 2003. "Age replacement policies in two time scales," Naval Research Logistics (NRL), John Wiley & Sons, vol. 50(6), pages 592-613, September.
    16. David L. Kaufman & Mark E. Lewis, 2007. "Machine maintenance with workload considerations," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(7), pages 750-766, October.
    17. 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.
    18. Xiaodong Yao & Xiaolan Xie & Michael C. Fu & Steven I. Marcus, 2005. "Optimal joint preventive maintenance and production policies," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(7), pages 668-681, October.
    19. 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.
    20. Hashemi, M. & Asadi, M. & Zarezadeh, S., 2020. "Optimal maintenance policies for coherent systems with multi-type components," Reliability Engineering and System Safety, Elsevier, vol. 195(C).

    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:55:y:2008:i:7:p:700-703. 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.