IDEAS home Printed from https://ideas.repec.org/a/eee/reensy/v106y2012icp165-178.html
   My bibliography  Save this article

An overview of the recent advances in delay-time-based maintenance modelling

Author

Listed:
  • Wang, Wenbin

Abstract

Industrial plant maintenance is an area which has enormous potential to be improved. It is also an area attracted significant attention from mathematical modellers because of the random phenomenon of plant failures. This paper reviews the recent advances in delay-time-based maintenance modelling, which is one of the mathematical techniques for optimising inspection planning and related problems. The delay-time is a concept that divides a plant failure process into two stages: from new until the point of an identifiable defect, and then from this point to failure. The first stage is called the normal working stage and the second stage is called the failure delay-time stage. If the distributions of the two stages can be quantified, the relationship between the number of failures and the inspection interval can be readily established. This can then be used for optimizing the inspection interval and other related decision variables. In this review, we pay particular attention to new methodological developments and industrial applications of the delay-time-based models over the last few decades. The use of the delay-time concept and modeling techniques in other areas rather than in maintenance is also reviewed. Future research directions are also highlighted.

Suggested Citation

  • Wang, Wenbin, 2012. "An overview of the recent advances in delay-time-based maintenance modelling," Reliability Engineering and System Safety, Elsevier, vol. 106(C), pages 165-178.
  • Handle: RePEc:eee:reensy:v:106:y:2012:i:c:p:165-178
    DOI: 10.1016/j.ress.2012.04.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0951832012000701
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ress.2012.04.004?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. Wang, Wenbin, 2010. "A model for maintenance service contract design, negotiation and optimization," European Journal of Operational Research, Elsevier, vol. 201(1), pages 239-246, February.
    2. Kijima, Masaaki & Morimura, Hidenori & Suzuki, Yasusuke, 1988. "Periodical replacement problem without assuming minimal repair," European Journal of Operational Research, Elsevier, vol. 37(2), pages 194-203, November.
    3. Wenbin Wang, 2008. "Delay Time Modelling," Springer Series in Reliability Engineering, in: Complex System Maintenance Handbook, chapter 14, pages 345-370, Springer.
    4. M J Carr & A H Christer, 2003. "Incorporating the potential for human error in maintenance models," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(12), pages 1249-1253, December.
    5. Christer, A. H. & Lee, C. & Wang, W., 2000. "A data deficiency based parameter estimating problem and case study in delay time PM modeling," International Journal of Production Economics, Elsevier, vol. 67(1), pages 63-76, August.
    6. Chilcott, J. B. & Christer, A. H., 1991. "Modelling of condition based maintenance at the coal face," International Journal of Production Economics, Elsevier, vol. 22(1), pages 1-11, September.
    7. Robin P. Nicolai & Rommert Dekker, 2008. "Optimal Maintenance of Multi-component Systems: A Review," Springer Series in Reliability Engineering, in: Complex System Maintenance Handbook, chapter 11, pages 263-286, Springer.
    8. W Wang, 2011. "Maintenance models based on the np control charts with respect to the sampling interval," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(1), pages 124-133, January.
    9. Lofsten, Hans, 2000. "Measuring maintenance performance - in search for a maintenance productivity index," International Journal of Production Economics, Elsevier, vol. 63(1), pages 47-58, January.
    10. Zhao, Jianmin & Chan, A.H.C. & Roberts, C. & Madelin, K.B., 2007. "Reliability evaluation and optimisation of imperfect inspections for a component with multi-defects," Reliability Engineering and System Safety, Elsevier, vol. 92(1), pages 65-73.
    11. 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.
    12. Wang, Hongzhou, 2002. "A survey of maintenance policies of deteriorating systems," European Journal of Operational Research, Elsevier, vol. 139(3), pages 469-489, June.
    13. Wang, Wenbin, 2007. "A two-stage prognosis model in condition based maintenance," European Journal of Operational Research, Elsevier, vol. 182(3), pages 1177-1187, November.
    14. Christer, A. H. & Redmond, D. F., 1992. "Revising models of maintenance and inspection," International Journal of Production Economics, Elsevier, vol. 24(3), pages 227-234, March.
    15. Cavalcante, Cristiano A.V. & Scarf, Philip A. & de Almeida, Adiel T., 2011. "A study of a two-phase inspection policy for a preparedness system with a defective state and heterogeneous lifetime," Reliability Engineering and System Safety, Elsevier, vol. 96(6), pages 627-635.
    16. Hanan Luss, 1983. "An Inspection Policy Model for Production Facilities," Management Science, INFORMS, vol. 29(9), pages 1102-1109, September.
    17. Wang, Wenbin, 2012. "A stochastic model for joint spare parts inventory and planned maintenance optimisation," European Journal of Operational Research, Elsevier, vol. 216(1), pages 127-139.
    18. Hongzhou Wang & Hoang Pham, 2006. "Reliability and Optimal Maintenance," Springer Series in Reliability Engineering, Springer, number 978-1-84628-325-3, January.
    19. W Wang & P A Scarf & M A J Smith, 2000. "On the application of a model of condition-based maintenance," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(11), pages 1218-1227, November.
    20. Ferreira, Rodrigo J.P. & de Almeida, Adiel Teixeira & Cavalcante, Cristiano A.V., 2009. "A multi-criteria decision model to determine inspection intervals of condition monitoring based on delay time analysis," Reliability Engineering and System Safety, Elsevier, vol. 94(5), pages 905-912.
    21. Wang, Wenbin & Syntetos, Aris A., 2011. "Spare parts demand: Linking forecasting to equipment maintenance," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(6), pages 1194-1209.
    22. Apeland, S. & Scarf, P. A., 2003. "A fully subjective approach to modelling inspection maintenance," European Journal of Operational Research, Elsevier, vol. 148(2), pages 410-425, July.
    23. A H Christer, 1999. "Developments in delay time analysis for modelling plant maintenance," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(11), pages 1120-1137, November.
    24. Christer, A. H. & Lee, C., 2000. "Refining the delay-time-based PM inspection model with non-negligible system downtime estimates of the expected number of failures," International Journal of Production Economics, Elsevier, vol. 67(1), pages 77-85, August.
    25. Jones, B. & Jenkinson, I. & Wang, J., 2009. "Methodology of using delay-time analysis for a manufacturing industry," Reliability Engineering and System Safety, Elsevier, vol. 94(1), pages 111-124.
    26. Baker, R. D. & Christer, A. H., 1994. "Review of delay-time OR modelling of engineering aspects of maintenance," European Journal of Operational Research, Elsevier, vol. 73(3), pages 407-422, March.
    27. Wang, Wenbin, 2009. "An inspection model for a process with two types of inspections and repairs," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 526-533.
    28. Jones, B. & Jenkinson, I. & Yang, Z. & Wang, J., 2010. "The use of Bayesian network modelling for maintenance planning in a manufacturing industry," Reliability Engineering and System Safety, Elsevier, vol. 95(3), pages 267-277.
    29. John J. McCall, 1965. "Maintenance Policies for Stochastically Failing Equipment: A Survey," Management Science, INFORMS, vol. 11(5), pages 493-524, March.
    30. Wang, Wenbin & Banjevic, Dragan, 2012. "Ergodicity of forward times of the renewal process in a block-based inspection model using the delay time concept," Reliability Engineering and System Safety, Elsevier, vol. 100(C), pages 1-7.
    31. 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.
    32. Podofillini, Luca & Zio, Enrico & Vatn, Jørn, 2006. "Risk-informed optimisation of railway tracks inspection and maintenance procedures," Reliability Engineering and System Safety, Elsevier, vol. 91(1), pages 20-35.
    33. Aven, Terje & Castro, I.T., 2009. "A delay-time model with safety constraint," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 261-267.
    34. Redmond, D. F. & Christer, A. H. & Rigden, S. R. & Burley, E. & Tajelli, A. & Abu-Tair, A., 1997. "O.R. modelling of the deterioration and maintenance of concrete structures," European Journal of Operational Research, Elsevier, vol. 99(3), pages 619-631, June.
    35. Wang, Wenbin, 2011. "A joint spare part and maintenance inspection optimisation model using the Delay-Time concept," Reliability Engineering and System Safety, Elsevier, vol. 96(11), pages 1535-1541.
    36. Wang, Wenbin, 2011. "An inspection model based on a three-stage failure process," Reliability Engineering and System Safety, Elsevier, vol. 96(7), pages 838-848.
    37. Sander, Peter & Wang, Wenbin, 2000. "Maintenance and reliability," International Journal of Production Economics, Elsevier, vol. 67(1), pages 1-2, August.
    38. Cho, Danny I. & Parlar, Mahmut, 1991. "A survey of maintenance models for multi-unit systems," European Journal of Operational Research, Elsevier, vol. 51(1), pages 1-23, March.
    39. A.N. Das & S.P. Sarmah, 2010. "Preventive replacement models: an overview and their application in process industries," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 4(3), pages 280-307.
    40. Wang, Wenbin & Banjevic, Dragan & Pecht, Michael, 2010. "A multi-component and multi-failure mode inspection model based on the delay time concept," Reliability Engineering and System Safety, Elsevier, vol. 95(8), pages 912-920.
    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. Wang, Wenbin, 2011. "An inspection model based on a three-stage failure process," Reliability Engineering and System Safety, Elsevier, vol. 96(7), pages 838-848.
    2. Wang, Wenbin, 2013. "Models of inspection, routine service, and replacement for a serviceable one-component system," Reliability Engineering and System Safety, Elsevier, vol. 116(C), pages 57-63.
    3. van Oosterom, C.D. & Elwany, A.H. & Çelebi, D. & van Houtum, G.J., 2014. "Optimal policies for a delay time model with postponed replacement," European Journal of Operational Research, Elsevier, vol. 232(1), pages 186-197.
    4. Wang, Wenbin & Banjevic, Dragan & Pecht, Michael, 2010. "A multi-component and multi-failure mode inspection model based on the delay time concept," Reliability Engineering and System Safety, Elsevier, vol. 95(8), pages 912-920.
    5. Flage, Roger, 2014. "A delay time model with imperfect and failure-inducing inspections," Reliability Engineering and System Safety, Elsevier, vol. 124(C), pages 1-12.
    6. Wang, Wenbin & Syntetos, Aris A., 2011. "Spare parts demand: Linking forecasting to equipment maintenance," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(6), pages 1194-1209.
    7. Seyedhosseini, Seyed Mohammad & Moakedi, Hamid & Shahanaghi, Kamran, 2018. "Imperfect inspection optimization for a two-component system subject to hidden and two-stage revealed failures over a finite time horizon," Reliability Engineering and System Safety, Elsevier, vol. 174(C), pages 141-156.
    8. Wang, Wenbin & Zhao, Fei & Peng, Rui, 2014. "A preventive maintenance model with a two-level inspection policy based on a three-stage failure process," Reliability Engineering and System Safety, Elsevier, vol. 121(C), pages 207-220.
    9. Peng, Rui & Liu, Bin & Zhai, Qingqing & Wang, Wenbin, 2019. "Optimal maintenance strategy for systems with two failure modes," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 624-632.
    10. de Jonge, Bram & Scarf, Philip A., 2020. "A review on maintenance optimization," European Journal of Operational Research, Elsevier, vol. 285(3), pages 805-824.
    11. 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.
    12. Zhang, Fengxia & Shen, Jingyuan & Liao, Haitao & Ma, Yizhong, 2021. "Optimal preventive maintenance policy for a system subject to two-phase imperfect inspections," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    13. Wang, Wenbin & Banjevic, Dragan, 2012. "Ergodicity of forward times of the renewal process in a block-based inspection model using the delay time concept," Reliability Engineering and System Safety, Elsevier, vol. 100(C), pages 1-7.
    14. Wang, Wenbin, 2011. "A joint spare part and maintenance inspection optimisation model using the Delay-Time concept," Reliability Engineering and System Safety, Elsevier, vol. 96(11), pages 1535-1541.
    15. Wang, Wenbin, 2012. "A stochastic model for joint spare parts inventory and planned maintenance optimisation," European Journal of Operational Research, Elsevier, vol. 216(1), pages 127-139.
    16. Zhang, Xiaohong & Zeng, Jianchao, 2017. "Joint optimization of condition-based opportunistic maintenance and spare parts provisioning policy in multiunit systems," European Journal of Operational Research, Elsevier, vol. 262(2), pages 479-498.
    17. Yang, Li & Ma, Xiaobing & Zhai, Qingqing & Zhao, Yu, 2016. "A delay time model for a mission-based system subject to periodic and random inspection and postponed replacement," Reliability Engineering and System Safety, Elsevier, vol. 150(C), pages 96-104.
    18. Taghipour, Sharareh & Banjevic, Dragan, 2012. "Optimal inspection of a complex system subject to periodic and opportunistic inspections and preventive replacements," European Journal of Operational Research, Elsevier, vol. 220(3), pages 649-660.
    19. 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.
    20. Xuejuan Liu & Wenbin Wang & Rui Peng & Fei Zhao, 2015. "A delay-time-based inspection model for parallel systems," Journal of Risk and Reliability, , vol. 229(6), pages 556-567, December.

    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:eee:reensy:v:106:y:2012:i:c:p:165-178. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/reliability-engineering-and-system-safety .

    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.