IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v35y1988i4p461-471.html
   My bibliography  Save this article

Optimal maintenance policies for constantly monitored systems

Author

Listed:
  • Alan P. Wood

Abstract

A multistate system is assumed to be constantly monitored; i.e., the state of the system is always known with certainty. Damage to the system accumulates via a continuous‐time Markov process. A model of the system including restoration costs and state occupation costs is developed. It is shown that under certain conditions the optimal restoration policy for the system is a control limit rule. A control limit rule is a policy which requires restoration of the system whenever the damage exceeds a certain level. Examples are presented to show that there are several situations in which, perhaps surprisingly, control limit rules are not optimal.

Suggested Citation

  • Alan P. Wood, 1988. "Optimal maintenance policies for constantly monitored systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(4), pages 461-471, August.
    • Handle: RePEc:wly:navres:v:35:y:1988:i:4:p:461-471
    DOI: 10.1002/1520-6750(198808)35:43.0.CO;2-K
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/1520-6750(198808)35:43.0.CO;2-K
    Download Restriction: no
    File URL: https://libkey.io/10.1002/1520-6750(198808)35:43.0.CO;2-K?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. Sheldon M. Ross, 1969. "A Markovian Replacement Model with a Generalization to Include Stocking," Management Science, INFORMS, vol. 15(11), pages 702-715, July.
    2. Cyrus Derman, 1962. "On Sequential Decisions and Markov Chains," Management Science, INFORMS, vol. 9(1), pages 16-24, October.
    3. Peter Kolesar, 1966. "Minimum Cost Replacement Under Markovian Deterioration," Management Science, INFORMS, vol. 12(9), pages 694-706, May.
    4. Basil A. Kalymon, 1972. "Machine Replacement with Stochastic Costs," Management Science, INFORMS, vol. 18(5-Part-1), pages 288-298, January.
    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. 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.
    2. Hsieh, Chung-Chi & Chiu, Kuo-Chang, 2002. "Optimal maintenance policy in a multistate deteriorating standby system," European Journal of Operational Research, Elsevier, vol. 141(3), pages 689-698, September.
    3. Çekyay, Bora & Özekici, Süleyman, 2012. "Optimal maintenance of systems with Markovian mission and deterioration," European Journal of Operational Research, Elsevier, vol. 219(1), pages 123-133.
    4. 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.

    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. Ahmadi, Reza & Newby, Martin, 2011. "Maintenance scheduling of a manufacturing system subject to deterioration," Reliability Engineering and System Safety, Elsevier, vol. 96(10), pages 1411-1420.
    2. Reza Ahmadi, 2014. "Optimal maintenance scheduling for a complex manufacturing system subject to deterioration," Annals of Operations Research, Springer, vol. 217(1), pages 1-29, June.
    3. Panagiotidou, Sofia & Nenes, George, 2009. "An economically designed, integrated quality and maintenance model using an adaptive Shewhart chart," Reliability Engineering and System Safety, Elsevier, vol. 94(3), pages 732-741.
    4. Panagiotidou, Sofia & Tagaras, George, 2007. "Optimal preventive maintenance for equipment with two quality states and general failure time distributions," European Journal of Operational Research, Elsevier, vol. 180(1), pages 329-353, July.
    5. 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.
    6. Lodewijk Kallenberg, 2013. "Derman’s book as inspiration: some results on LP for MDPs," Annals of Operations Research, Springer, vol. 208(1), pages 63-94, September.
    7. Reza Ahmadi, 2024. "Reliability and maintenance modeling for a production system by means of point process observations," Annals of Operations Research, Springer, vol. 340(1), pages 3-26, September.
    8. Kurt, Murat & Kharoufeh, Jeffrey P., 2010. "Optimally maintaining a Markovian deteriorating system with limited imperfect repairs," European Journal of Operational Research, Elsevier, vol. 205(2), pages 368-380, September.
    9. Shanshan Guo & Lei Zhao & Xiaowei Xu, 2016. "Impact of supply risks on procurement decisions," Annals of Operations Research, Springer, vol. 241(1), pages 411-430, June.
    10. Prasenjit Mondal, 2016. "On undiscounted semi-Markov decision processes with absorbing states," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 83(2), pages 161-177, April.
    11. Durango-Cohen, Pablo L. & Madanat, Samer M., 2008. "Optimization of inspection and maintenance decisions for infrastructure facilities under performance model uncertainty: A quasi-Bayes approach," Transportation Research Part A: Policy and Practice, Elsevier, vol. 42(8), pages 1074-1085, October.
    12. Prasenjit Mondal, 2020. "Computing semi-stationary optimal policies for multichain semi-Markov decision processes," Annals of Operations Research, Springer, vol. 287(2), pages 843-865, April.
    13. K. Helmes & R. H. Stockbridge, 2000. "Numerical Comparison of Controls and Verification of Optimality for Stochastic Control Problems," Journal of Optimization Theory and Applications, Springer, vol. 106(1), pages 107-127, July.
    14. Ece Zeliha Demirci & Joachim Arts & Geert-Jan Van Houtum, 2022. "A restless bandit approach for capacitated condition based maintenance scheduling," DEM Discussion Paper Series 22-01, Department of Economics at the University of Luxembourg.
    15. Michael Katehakis & Ingram Olkin & Sheldon Ross & Jian Yang, 2013. "On the life and work of Cyrus Derman," Annals of Operations Research, Springer, vol. 208(1), pages 5-26, September.
    16. Eugene A. Feinberg & Pavlo O. Kasyanov & Nina V. Zadoianchuk, 2012. "Average Cost Markov Decision Processes with Weakly Continuous Transition Probabilities," Mathematics of Operations Research, INFORMS, vol. 37(4), pages 591-607, November.
    17. Matthew Sobel, 2013. "Discounting axioms imply risk neutrality," Annals of Operations Research, Springer, vol. 208(1), pages 417-432, September.
    18. Florio, Alexandre M. & Hartl, Richard F. & Minner, Stefan, 2020. "Optimal a priori tour and restocking policy for the single-vehicle routing problem with stochastic demands," European Journal of Operational Research, Elsevier, vol. 285(1), pages 172-182.
    19. Warren B. Powell, 2016. "Perspectives of approximate dynamic programming," Annals of Operations Research, Springer, vol. 241(1), pages 319-356, June.
    20. 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.

    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:35:y:1988:i:4:p:461-471. 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.