IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v41y1994i6p771-788.html
   My bibliography  Save this article

Optimal inspection and repair of renewable coherent systems with independent components and constant failure rates

Author

Listed:
  • Louis Anthony Cox
  • Yuping Qiu

Abstract

Suppose that a multicomponent reliability system earns revenue while it is working and that it has a finite number of possible failure states (defined as states in which it ceases to work), each with a known prior probability. When the system stops working its components can be inspected one at a time, and, if necessary, replaced or repaired, until the system is restored to its original (operating) state. Inspections (as well as replacements or repairs) are time consuming and expensive. An optimal adaptive inspection strategy for examining and fixing the components of a failed system restores it as efficiently as possible, taking into account the opportunity costs due to lost revenue while the system remains failed as well as the costs and times required for inspections. This article presents exact and heuristic procedures for constructing optimal adaptive strategies for k‐out‐of‐n and general coherent systems. Average revenue per unit time is taken as the maximand for most of the article, but characterizations of optimality are also obtained for series systems in the case of discounted return over an infinite planning horizon. © 1994 John Wiley & Sons, Inc.

Suggested Citation

  • Louis Anthony Cox & Yuping Qiu, 1994. "Optimal inspection and repair of renewable coherent systems with independent components and constant failure rates," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(6), pages 771-788, October.
    • Handle: RePEc:wly:navres:v:41:y:1994:i:6:p:771-788
    DOI: 10.1002/1520-6750(199410)41:63.0.CO;2-0
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/1520-6750(199410)41:63.0.CO;2-0
    Download Restriction: no
    File URL: https://libkey.io/10.1002/1520-6750(199410)41:63.0.CO;2-0?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. 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.
    2. Qiu, Yuping & Cox, Louis Anthony, 1993. "Heuristic testing procedures for general coherent systems," European Journal of Operational Research, Elsevier, vol. 69(1), pages 65-74, August.
    3. David A. Butler & Gerald J. Lieberman, 1984. "Inspection Policies for Fault Location," Operations Research, INFORMS, vol. 32(3), pages 566-574, June.
    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. Oguzhan Alagoz & Lisa M. Maillart & Andrew J. Schaefer & Mark S. Roberts, 2007. "Determining the Acceptance of Cadaveric Livers Using an Implicit Model of the Waiting List," Operations Research, INFORMS, vol. 55(1), pages 24-36, February.
    2. Park, Chong Hyun & Lim, Heejong, 2021. "A parametric approach to integer linear fractional programming: Newton’s and Hybrid-Newton methods for an optimal road maintenance problem," European Journal of Operational Research, Elsevier, vol. 289(3), pages 1030-1039.
    3. Wooseung Jang & J. George Shanthikumar, 2002. "Stochastic allocation of inspection capacity to competitive processes," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(1), pages 78-94, February.
    4. 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.
    5. V. Makis & X. Jiang & K. Cheng, 2000. "Optimal Preventive Replacement Under Minimal Repair and Random Repair Cost," Mathematics of Operations Research, INFORMS, vol. 25(1), pages 141-156, February.
    6. Patrick H. Liu, 2000. "A comparative study of three tool replacement/operation sequencing strategies in a flexible manufacturing system," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(6), pages 479-499, September.
    7. Zhu, Xiaoyan & Wang, Jun & Yuan, Tao, 2019. "Design and maintenance for the data storage system considering system rebuilding process," Reliability Engineering and System Safety, Elsevier, vol. 191(C).
    8. 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.
    9. Levitin, Gregory & Finkelstein, Maxim & Huang, Hong-Zhong, 2019. "Scheduling of imperfect inspections for reliability critical systems with shock-driven defects and delayed failures," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 89-98.
    10. Yasuhiro Saito & Tadashi Dohi & Won Y Yun, 2016. "Kernel-based nonparametric estimation methods for a periodic replacement problem with minimal repair," Journal of Risk and Reliability, , vol. 230(1), pages 54-66, February.
    11. So Young Sohn, 1994. "Monitoring declining quality of ammunition stockpile under step stress," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(6), pages 707-718, October.
    12. 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.
    13. 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.
    14. Wolfgang Stadje, 1996. "Availability of an operating system during a given time interval: A dynamic programming approach," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(4), pages 589-602, June.
    15. 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.
    16. 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.
    17. Chien, Yu-Hung & Zhang, Zhe George & Yin, Xiaoling, 2019. "On optimal preventive-maintenance policy for generalized Polya process repairable products under free-repair warranty," European Journal of Operational Research, Elsevier, vol. 279(1), pages 68-78.
    18. Jie Mi, 2006. "Pseudo Availability of Repairable System," Methodology and Computing in Applied Probability, Springer, vol. 8(1), pages 93-103, March.
    19. 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.
    20. V Zille & C Bérenguer & A Grall & A Despujols, 2011. "Modelling multicomponent systems to quantify reliability centred maintenance strategies," Journal of Risk and Reliability, , vol. 225(2), pages 141-160, June.

    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:41:y:1994:i:6:p:771-788. 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.