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

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  • 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
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    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. Wenbin Wang, 2008. "Delay Time Modelling," Springer Series in Reliability Engineering, in: Complex System Maintenance Handbook, chapter 14, pages 345-370, Springer.
    6. 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.
    7. 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.
    8. 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.
    9. John J. McCall, 1965. "Maintenance Policies for Stochastically Failing Equipment: A Survey," Management Science, INFORMS, vol. 11(5), pages 493-524, March.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. 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.
    17. 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.
    18. 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.
    19. 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.
    20. Wang, Hongzhou, 2002. "A survey of maintenance policies of deteriorating systems," European Journal of Operational Research, Elsevier, vol. 139(3), pages 469-489, June.
    21. 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.
    22. 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.
    23. 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.
    24. 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.
    25. 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.
    26. 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.
    27. 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.
    28. Hanan Luss, 1983. "An Inspection Policy Model for Production Facilities," Management Science, INFORMS, vol. 29(9), pages 1102-1109, September.
    29. Sander, Peter & Wang, Wenbin, 2000. "Maintenance and reliability," International Journal of Production Economics, Elsevier, vol. 67(1), pages 1-2, August.
    30. 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.
    31. Hongzhou Wang & Hoang Pham, 2006. "Reliability and Optimal Maintenance," Springer Series in Reliability Engineering, Springer, number 978-1-84628-325-3, February.
    32. 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.
    33. 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.
    34. 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.
    35. 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.
    36. 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.
    37. 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.
    38. 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.
    39. 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.
    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.
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