IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v44y1997i3p257-272.html
   My bibliography  Save this article

Joint determination of preventive maintenance and safety stocks in an unreliable production environment

Author

Listed:
  • Ki Ling Cheung
  • Warren H. Hausman

Abstract

In this article we formulate an analytical model of preventive maintenance and safety stock strategies in a production environment subject to random machine breakdowns. Traditionally, preventive maintenance and safety stocks have been independently studied as two separate strategies for coping with machine breakdowns. Our intent is to develop a unified framework so that the two are jointly considered. We illustrate the trade‐off between investing in the two options. In addition, we provide optimality conditions under which either one or both strategies should be implemented to minimize the associated cost function. Specifically, cases with deterministic and exponential repair time distributions are analyzed in detail. We include numerical examples to illustrate the determination of optimal strategies for preventive maintenance and safety stocks. © 1997 John Wiley & Sons, Inc.

Suggested Citation

  • Ki Ling Cheung & Warren H. Hausman, 1997. "Joint determination of preventive maintenance and safety stocks in an unreliable production environment," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(3), pages 257-272, April.
    • Handle: RePEc:wly:navres:v:44:y:1997:i:3:p:257-272
    DOI: 10.1002/(SICI)1520-6750(199704)44:33.0.CO;2-7
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/(SICI)1520-6750(199704)44:33.0.CO;2-7
    Download Restriction: no
    File URL: https://libkey.io/10.1002/(SICI)1520-6750(199704)44:33.0.CO;2-7?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. Harry Groenevelt & Liliane Pintelon & Abraham Seidmann, 1992. "Production Lot Sizing with Machine Breakdowns," Management Science, INFORMS, vol. 38(1), pages 104-123, January.
    2. 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.
    3. Evan L. Porteus, 1986. "Optimal Lot Sizing, Process Quality Improvement and Setup Cost Reduction," Operations Research, INFORMS, vol. 34(1), pages 137-144, February.
    4. Harry Groenevelt & Liliane Pintelon & Abraham Seidmann, 1992. "Production Batching with Machine Breakdowns and Safety Stocks," Operations Research, INFORMS, vol. 40(5), pages 959-971, October.
    5. Hau L. Lee & Meir J. Rosenblatt, 1987. "Simultaneous Determination of Production Cycle and Inspection Schedules in a Production System," Management Science, INFORMS, vol. 33(9), pages 1125-1136, September.
    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. Kenne, J.-P. & Gharbi, A. & Beit, M., 2007. "Age-dependent production planning and maintenance strategies in unreliable manufacturing systems with lost sale," European Journal of Operational Research, Elsevier, vol. 178(2), pages 408-420, April.
    2. Dbouk, Wassim & Moussawi-Haidar, Lama & Jaber, Mohamad Y., 2020. "The effect of economic uncertainty on inventory and working capital for manufacturing firms," International Journal of Production Economics, Elsevier, vol. 230(C).
    3. Peymankar, Mahboobe & Dehghanian, Farzad & Ghiami, Yousef & Abolbashari, Mohammad Hassan, 2018. "The effects of contractual agreements on the economic production quantity model with machine breakdown," International Journal of Production Economics, Elsevier, vol. 201(C), pages 203-215.
    4. Gharbi, A. & Kenne, J.-P. & Beit, M., 2007. "Optimal safety stocks and preventive maintenance periods in unreliable manufacturing systems," International Journal of Production Economics, Elsevier, vol. 107(2), pages 422-434, June.
    5. Dhouib, K. & Gharbi, A. & Ben Aziza, M.N., 2012. "Joint optimal production control/preventive maintenance policy for imperfect process manufacturing cell," International Journal of Production Economics, Elsevier, vol. 137(1), pages 126-136.
    6. Gonçalves, João N.C. & Sameiro Carvalho, M. & Cortez, Paulo, 2020. "Operations research models and methods for safety stock determination: A review," Operations Research Perspectives, Elsevier, vol. 7(C).

    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. Om Prakash & A.R. Roy & A. Goswami, 2014. "Stochastic manufacturing system with process deterioration and machine breakdown," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(12), pages 2539-2551, December.
    2. Viliam Makis, 1998. "Optimal lot sizing and inspection policy for an EMQ model with imperfect inspections," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(2), pages 165-186, March.
    3. Kazaz, Burak & Sloan, Thomas W., 2013. "The impact of process deterioration on production and maintenance policies," European Journal of Operational Research, Elsevier, vol. 227(1), pages 88-100.
    4. Bouslah, Bassem & Gharbi, Ali & Pellerin, Robert, 2013. "Joint optimal lot sizing and production control policy in an unreliable and imperfect manufacturing system," International Journal of Production Economics, Elsevier, vol. 144(1), pages 143-156.
    5. Kim, Chang Hyun & Hong, Yushin, 1997. "An extended EMQ model for a failure prone machine with general lifetime distribution," International Journal of Production Economics, Elsevier, vol. 49(3), pages 215-223, May.
    6. Meller, Russell D. & Kim, David S., 1996. "The impact of preventive maintenance on system cost and buffer size," European Journal of Operational Research, Elsevier, vol. 95(3), pages 577-591, December.
    7. Chakraborty, Tulika & Giri, B.C. & Chaudhuri, K.S., 2008. "Production lot sizing with process deterioration and machine breakdown," European Journal of Operational Research, Elsevier, vol. 185(2), pages 606-618, March.
    8. Harun Öztürk, 2021. "Optimal production run time for an imperfect production inventory system with rework, random breakdowns and inspection costs," Operational Research, Springer, vol. 21(1), pages 167-204, March.
    9. Jeang, Angus, 2012. "Simultaneous determination of production lot size and process parameters under process deterioration and process breakdown," Omega, Elsevier, vol. 40(6), pages 774-781.
    10. Stephen M. Gilbert & Hena M Bar, 1999. "The value of observing the condition of a deteriorating machine," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(7), pages 790-808, October.
    11. Harun Öztürk, 2019. "Modeling an inventory problem with random supply, inspection and machine breakdown," OPSEARCH, Springer;Operational Research Society of India, vol. 56(2), pages 497-527, June.
    12. Chelbi, Anis & Ait-Kadi, Daoud, 2004. "Analysis of a production/inventory system with randomly failing production unit submitted to regular preventive maintenance," European Journal of Operational Research, Elsevier, vol. 156(3), pages 712-718, August.
    13. Hyun Kim, Chang & Hong, Yushin, 1999. "An optimal production run length in deteriorating production processes," International Journal of Production Economics, Elsevier, vol. 58(2), pages 183-189, January.
    14. Dhouib, K. & Gharbi, A. & Ben Aziza, M.N., 2012. "Joint optimal production control/preventive maintenance policy for imperfect process manufacturing cell," International Journal of Production Economics, Elsevier, vol. 137(1), pages 126-136.
    15. Thomas Sloan, 2008. "Simultaneous determination of production and maintenance schedules using in‐line equipment condition and yield information," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(2), pages 116-129, March.
    16. El-Ferik, Sami, 2008. "Economic production lot-sizing for an unreliable machine under imperfect age-based maintenance policy," European Journal of Operational Research, Elsevier, vol. 186(1), pages 150-163, April.
    17. Giri, B.C. & Dohi, T., 2007. "Inspection scheduling for imperfect production processes under free repair warranty contract," European Journal of Operational Research, Elsevier, vol. 183(1), pages 238-252, November.
    18. Wright, CM & Mehrez, A, 1998. "An Overview of Representative Research of the Relationships Between Quality and Inventory," Omega, Elsevier, vol. 26(1), pages 29-47, February.
    19. B. C. Giri & T Chakraborty, 2007. "Optimal production, maintenance, and warranty strategies for item sold with rebate combination warranty," Journal of Risk and Reliability, , vol. 221(4), pages 257-264, December.
    20. Mohebbi, E., 2008. "A note on a production control model for a facility with limited storage capacity in a random environment," European Journal of Operational Research, Elsevier, vol. 190(2), pages 562-570, 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:44:y:1997:i:3:p:257-272. 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.