IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v40y1993i4p495-523.html
   My bibliography  Save this article

A two‐machine repair model with variable repair rate

Author

Listed:
  • F. A. Van Der Duyn Schouten
  • P. Wartenhorst

Abstract

A two‐unit cold standby production system with one repairman is considered. After inspection of a failed unit the repairman chooses either a slow or a fast repair rate to carry out the corresponding amount of work. At system breakdown the repairman has an additional opportunity to switch to the fast rate. If there are no fixed costs associated with system breakdowns, then the policy which minimizes longrun average costs is shown to be a two‐dimensional control limit rule. If fixed costs are incurred every time the system breaks down, then the optimal policy is not necessarily of control limit type. This is illustrated by a counterexample. Furthermore, we present several performance measures for this maintenance system controlled by a two‐dimensional control limit rule. © 1993 John Wiley & Sons, Inc.

Suggested Citation

  • F. A. Van Der Duyn Schouten & P. Wartenhorst, 1993. "A two‐machine repair model with variable repair rate," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(4), pages 495-523, June.
    • Handle: RePEc:wly:navres:v:40:y:1993:i:4:p:495-523
    DOI: 10.1002/1520-6750(199306)40:43.0.CO;2-V
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/1520-6750(199306)40:43.0.CO;2-V
    Download Restriction: no
    File URL: https://libkey.io/10.1002/1520-6750(199306)40:43.0.CO;2-V?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. 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.
    2. S. Christian Albright, 1980. "Optimal maintenance‐repair policies for the machine repair problem," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 27(1), pages 17-27, March.
    3. Thomas B. Crabill, 1974. "Optimal Control of a Maintenance System with Variable Service Rates," Operations Research, INFORMS, vol. 22(4), pages 736-745, August.
    4. Wayne Winston, 1977. "Optimal Control of Discrete and Continuous Time Maintenance Systems with Variable Service Rates," Operations Research, INFORMS, vol. 25(2), pages 259-268, April.
    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. Shengli Lv, 2021. "Multi-Machine Repairable System with One Unreliable Server and Variable Repair Rate," Mathematics, MDPI, vol. 9(11), pages 1-16, June.
    2. Srinivas R. Chakravarthy & Atul Agarwal, 2003. "Analysis of a machine repair problem with an unreliable server and phase type repairs and services," Naval Research Logistics (NRL), John Wiley & Sons, vol. 50(5), pages 462-480, August.

    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. Shone, Rob & Glazebrook, Kevin & Zografos, Konstantinos G., 2019. "Resource allocation in congested queueing systems with time-varying demand: An application to airport operations," European Journal of Operational Research, Elsevier, vol. 276(2), pages 566-581.
    2. Rommert Dekker & Eric Smeitink, 1994. "Preventive maintenance at opportunities of restricted duration," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(3), pages 335-353, April.
    3. Boronico, Jess S. & Siegel, Philip H., 1998. "Capacity planning for toll roadways incorporating consumer wait time costs," Transportation Research Part A: Policy and Practice, Elsevier, vol. 32(4), pages 297-310, May.
    4. Chen, Mingchih & Feldman, Richard M., 1997. "Optimal replacement policies with minimal repair and age-dependent costs," European Journal of Operational Research, Elsevier, vol. 98(1), pages 75-84, April.
    5. 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.
    6. James Flynn & Chia‐Shin Chung, 2002. "A branch and bound algorithm for computing optimal replacement policies in consecutive k‐out‐of‐n‐systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(3), pages 288-302, April.
    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. Philip C. Jones & James L. Zydiak & Wallace J. Hopp, 1991. "Parallel machine replacement," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(3), pages 351-365, June.
    9. Wallace J. Hopp & Yar‐Lin Kuo, 1998. "Heuristics for multicomponent joint replacement: Applications to aircraft engine maintenance," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(5), pages 435-458, August.
    10. Jennifer M. George & J. Michael Harrison, 2001. "Dynamic Control of a Queue with Adjustable Service Rate," Operations Research, INFORMS, vol. 49(5), pages 720-731, October.
    11. 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.
    12. Chia‐Shin Chung & James Flynn, 1997. "A heuristic algorithm for determining replacement policies in k‐out‐of‐n systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(3), pages 273-286, April.
    13. Mark G. Tang, 1993. "A stochastic machine maintenance and sale problem: Results with different production functions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(5), pages 677-696, August.
    14. 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.
    15. 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.
    16. 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.
    17. V. Jayabalan & Dipak Chaudhuri, 1992. "Optimal maintenance and replacement policy for a deteriorating system with increased mean downtime," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(1), pages 67-78, February.
    18. Barιş Ata & Deishin Lee & Erkut Sönmez, 2019. "Dynamic Volunteer Staffing in Multicrop Gleaning Operations," Operations Research, INFORMS, vol. 67(2), pages 295-314, March.
    19. Feng Tian & Peng Sun & Izak Duenyas, 2021. "Optimal Contract for Machine Repair and Maintenance," Operations Research, INFORMS, vol. 69(3), pages 916-949, May.
    20. 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.

    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:40:y:1993:i:4:p:495-523. 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.