IDEAS home Printed from https://ideas.repec.org/a/bpj/ecqcon/v16y2001i1p147-182n2.html
   My bibliography  Save this article

Towards Practical and Synthetical Modelling of Repairable Systems

Author

Listed:
  • Guo R.

    (Department of Statistical Sciences, University of Cape Town, Private Bag, Rondebosch 7701, R.S.A.)

  • Ascher H.

    (Harold E. Ascher & Associates, Statistical Consulting & Reliability Engineering, 1196 Goya Drive, Potomac, MD 20854, U.S.A.)

  • Love E.

    (Faculty of Business Administration, Simon Fraser University, Burnaby, BC, Canada V5A 1S6)

Abstract

In this article, we survey the developments with respect to generalized models of repairable systems during the 1990s, particularly for the last five years. In this field, we notice the sharp fundamental problem that voluminous and complicated models are proposed without sufficient evidence (or data) for justifying a success in tackling real engineering problems. Instead of following the myth of using simple models to face complicated reality, and based on our own research experiences, we select and review some practical models, in the quickly growing areas: age models, condition monitoring models, and shock and wear models, including the delay-time models. Further, we also notice that there is an attempt to develop synthetical models from a different point of view. Therefore, we comment the relevant developments with strong emphasis on stochastic processes reflecting the intrinsic nature of the actual physical dynamics of those repairable system models.

Suggested Citation

  • Guo R. & Ascher H. & Love E., 2001. "Towards Practical and Synthetical Modelling of Repairable Systems," Stochastics and Quality Control, De Gruyter, vol. 16(1), pages 147-182, January.
  • Handle: RePEc:bpj:ecqcon:v:16:y:2001:i:1:p:147-182:n:2
    DOI: 10.1515/EQC.2001.147
    as

    Download full text from publisher

    File URL: https://doi.org/10.1515/EQC.2001.147
    Download Restriction: For access to full text, subscription to the journal or payment for the individual article is required.

    File URL: https://libkey.io/10.1515/EQC.2001.147?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Sheu, Shey-Huei, 1993. "A generalized model for determining optimal number of minimal repairs before replacement," European Journal of Operational Research, Elsevier, vol. 69(1), pages 38-49, August.
    2. Haurie, A., 1995. "Time scale decomposition in production planning for unreliable flexible manufacturing systems," European Journal of Operational Research, Elsevier, vol. 82(2), pages 339-358, April.
    3. R. Guo & C. E. Love, 1994. "Simulating nonhomogeneous poisson processes with proportional intensities," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(4), pages 507-522, June.
    4. Goyal, S. K. & Gunasekaran, A. & Martikainen, T. & Yli-Olli, P., 1993. "Integrating production and quality control policies: A survey," European Journal of Operational Research, Elsevier, vol. 69(1), pages 1-13, August.
    5. Sheu, Shey-Huei, 1994. "Extended block replacement policy with used item and general random minimal repair cost," European Journal of Operational Research, Elsevier, vol. 79(3), pages 405-416, December.
    6. Scarf, Philip A., 1997. "On the application of mathematical models in maintenance," European Journal of Operational Research, Elsevier, vol. 99(3), pages 493-506, June.
    7. Frans Boshuizen, 1997. "Optimal replacement strategies for repairable systems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 45(1), pages 133-144, February.
    8. Wang, W., 1997. "Subjective estimation of the delay time distribution in maintenance modelling," European Journal of Operational Research, Elsevier, vol. 99(3), pages 516-529, June.
    9. Pham, Hoang & Wang, Hongzhou, 1996. "Imperfect maintenance," European Journal of Operational Research, Elsevier, vol. 94(3), pages 425-438, November.
    10. Cerone, P., 1993. "Inspection interval for maximum future reliability using the delay time model," European Journal of Operational Research, Elsevier, vol. 68(2), pages 236-250, July.
    11. Makis, Viliam & Jardine, Andrew K. S., 1993. "A note on optimal replacement policy under general repair," European Journal of Operational Research, Elsevier, vol. 69(1), pages 75-82, August.
    12. 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.
    13. Feng, W. & Adachi, K. & Kowada, M., 1994. "An optimal state-age dependent replacement for a network system," European Journal of Operational Research, Elsevier, vol. 75(3), pages 634-646, June.
    14. Richard Barlow & Larry Hunter, 1960. "Optimum Preventive Maintenance Policies," Operations Research, INFORMS, vol. 8(1), pages 90-100, February.
    15. Love, C. E. & Zhang, Z. G. & Zitron, M. A. & Guo, R., 2000. "A discrete semi-Markov decision model to determine the optimal repair/replacement policy under general repairs," European Journal of Operational Research, Elsevier, vol. 125(2), pages 398-409, September.
    16. van Noortwijk, Jan M. & Cooke, Roger M. & Kok, Matthijs, 1995. "A Bayesian failure model based on isotropic deterioration," European Journal of Operational Research, Elsevier, vol. 82(2), pages 270-282, April.
    17. Ran El-Yaniv & Richard M. Karp, 1997. "Nearly Optimal Competitive Online Replacement Policies," Mathematics of Operations Research, INFORMS, vol. 22(4), pages 814-839, November.
    18. Wijnmalen, Diederik J. D. & Hontelez, Jan A. M., 1997. "Coordinated condition-based repair strategies for components of a multi-component maintenance system with discounts," European Journal of Operational Research, Elsevier, vol. 98(1), pages 52-63, April.
    19. Silver, Edward A. & Fiechter, Claude-Nicolas, 1995. "Preventive maintenance with limited historical data," European Journal of Operational Research, Elsevier, vol. 82(1), pages 125-144, April.
    20. Christer, A. H. & Wang, W., 1995. "A simple condition monitoring model for a direct monitoring process," European Journal of Operational Research, Elsevier, vol. 82(2), pages 258-269, April.
    21. Stadje, Wolfgang & Zuckerman, Dror, 1996. "A generalized maintenance model for stochastically deteriorating equipment," European Journal of Operational Research, Elsevier, vol. 89(2), pages 285-301, March.
    22. Van der Duyn Schouten, F. A. & Vanneste, S. G., 1995. "Maintenance optimization of a production system with buffer capacity," European Journal of Operational Research, Elsevier, vol. 82(2), pages 323-338, April.
    23. Sheng-Tsaing Tseng & Ruey Huei Yeh & Wen-Tsung Ho, 1998. "Imperfect maintenance policies for deteriorating production systems," International Journal of Production Economics, Elsevier, vol. 55(2), pages 191-201, July.
    24. Kumar, Dhananjay & Westberg, Ulf, 1997. "Maintenance scheduling under age replacement policy using proportional hazards model and TTT-plotting," European Journal of Operational Research, Elsevier, vol. 99(3), pages 507-515, June.
    25. Dekker, Rommert, 1995. "Integrating optimisation, priority setting, planning and combining of maintenance activities," European Journal of Operational Research, Elsevier, vol. 82(2), pages 225-240, 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. Hajeeh Mohammed, 2004. "Maintenance Models for a Repairable System," Stochastics and Quality Control, De Gruyter, vol. 19(1), pages 107-114, January.
    2. Nguyen Dinh Tuan & Dijoux Yann & Fouladirad Mitra, 2015. "Bayesian Analysis of the Brown–Proschan Model," Stochastics and Quality Control, De Gruyter, vol. 30(1), pages 9-20, June.

    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. Wang, Hongzhou, 2002. "A survey of maintenance policies of deteriorating systems," European Journal of Operational Research, Elsevier, vol. 139(3), pages 469-489, June.
    2. Dimitrakos, T.D. & Kyriakidis, E.G., 2008. "A semi-Markov decision algorithm for the maintenance of a production system with buffer capacity and continuous repair times," International Journal of Production Economics, Elsevier, vol. 111(2), pages 752-762, February.
    3. Kyriakidis, E.G. & Dimitrakos, T.D., 2006. "Optimal preventive maintenance of a production system with an intermediate buffer," European Journal of Operational Research, Elsevier, vol. 168(1), pages 86-99, January.
    4. Si, Xiao-Sheng & Wang, Wenbin & Hu, Chang-Hua & Zhou, Dong-Hua, 2011. "Remaining useful life estimation - A review on the statistical data driven approaches," European Journal of Operational Research, Elsevier, vol. 213(1), pages 1-14, August.
    5. Ruey Yeh & Wen Chang & Hui-Chiung Lo, 2010. "Optimal threshold values of age and two-phase maintenance policy for leased equipments using age reduction method," Annals of Operations Research, Springer, vol. 181(1), pages 171-183, December.
    6. You, Ming-Yi & Li, Hongguang & Meng, Guang, 2011. "Control-limit preventive maintenance policies for components subject to imperfect preventive maintenance and variable operational conditions," Reliability Engineering and System Safety, Elsevier, vol. 96(5), pages 590-598.
    7. 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.
    8. Nguyen, Dinh Tuan & Dijoux, Yann & Fouladirad, Mitra, 2017. "Analytical properties of an imperfect repair model and application in preventive maintenance scheduling," European Journal of Operational Research, Elsevier, vol. 256(2), pages 439-453.
    9. de Jonge, Bram & Dijkstra, Arjan S. & Romeijnders, Ward, 2015. "Cost benefits of postponing time-based maintenance under lifetime distribution uncertainty," Reliability Engineering and System Safety, Elsevier, vol. 140(C), pages 15-21.
    10. Liao, Gwo-Liang & Chen, Yen Hung & Sheu, Shey-Huei, 2009. "Optimal economic production quantity policy for imperfect process with imperfect repair and maintenance," European Journal of Operational Research, Elsevier, vol. 195(2), pages 348-357, June.
    11. Percy, David F. & Kobbacy, Khairy A. H., 2000. "Determining economical maintenance intervals," International Journal of Production Economics, Elsevier, vol. 67(1), pages 87-94, August.
    12. Maria Chiara Magnanini & Tullio Tolio, 2020. "Switching- and hedging- point policy for preventive maintenance with degrading machines: application to a two-machine line," Flexible Services and Manufacturing Journal, Springer, vol. 32(2), pages 241-271, June.
    13. Marais, Karen B., 2013. "Value maximizing maintenance policies under general repair," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 76-87.
    14. Liu, Xingheng & Finkelstein, Maxim & Vatn, Jørn & Dijoux, Yann, 2020. "Steady-state imperfect repair models," European Journal of Operational Research, Elsevier, vol. 286(2), pages 538-546.
    15. de Jonge, Bram & Klingenberg, Warse & Teunter, Ruud & Tinga, Tiedo, 2015. "Optimum maintenance strategy under uncertainty in the lifetime distribution," Reliability Engineering and System Safety, Elsevier, vol. 133(C), pages 59-67.
    16. Liao, Gwo-Liang & Sheu, Shey-Huei, 2011. "Economic production quantity model for randomly failing production process with minimal repair and imperfect maintenance," International Journal of Production Economics, Elsevier, vol. 130(1), pages 118-124, March.
    17. Karamatsoukis, C.C. & Kyriakidis, E.G., 2009. "Optimal maintenance of a production-inventory system with idle periods," European Journal of Operational Research, Elsevier, vol. 196(2), pages 744-751, July.
    18. Scarf, Philip A., 1997. "On the application of mathematical models in maintenance," European Journal of Operational Research, Elsevier, vol. 99(3), pages 493-506, June.
    19. Biswas, Atanu & Sarkar, Jyotirmoy, 2000. "Availability of a system maintained through several imperfect repairs before a replacement or a perfect repair," Statistics & Probability Letters, Elsevier, vol. 50(2), pages 105-114, November.
    20. Dehayem Nodem, F.I. & Kenné, J.P. & Gharbi, A., 2011. "Simultaneous control of production, repair/replacement and preventive maintenance of deteriorating manufacturing systems," International Journal of Production Economics, Elsevier, vol. 134(1), pages 271-282, November.

    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:bpj:ecqcon:v:16:y:2001:i:1:p:147-182:n:2. 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: Peter Golla (email available below). General contact details of provider: https://www.degruyter.com .

    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.