Abstract
Components with multiple failure modes may encounter imperfect preventive maintenance triggered by inspections during their two-stage failure. Employing delay-time concepts and accumulative age, a new imperfect-maintenance model for these components is presented under the assumptions that failure modes are independent of each other and all kinds of defects will be dealt with in each maintenance task. Reliability and cost models are derived. Their characteristics are analyzed in numerical simulations. The results show components with more failure modes and worse imperfect inspection maintenance will have lower reliability, lower expected cycle cost and higher average cost per unit time. With an increasing inspection interval, the cycle cost will monotonically decrease while the average cost per unit time may have a local minimum. If inspection maintenance is insufficient, the minimum of the average cost per unit time will disappear, as does the best inspection interval.
Similar content being viewed by others
References
Akbarov A, Christer AH, Wang W (2008) Problem identification in maintenance modelling: a case study[J]. Int J Prod Res 46(4):1031–1046
Aven T, Castro IT (2009) A delay-time model with safety constraint. Reliab Eng Syst Saf 94(2):261–267
Christer AH, Waller WM (1984) Delay time models of industrial inspection maintenance problems. J Oper Res Soc 35(5):401–406
Ferreira RJP, de Almeida AT, Cavalcante CAV (2009) A multi-criteria decision model to determine inspection intervals of condition monitoring based on delay time analysis[J]. Reliab Eng Syst Saf 94(5):905–912
Hu H, Cheng G, Quan D et al (2009) Delay time model based on imperfect maintenance [J]. J Xi’an Jiaotong Univ (in Chin) 43(6):103–107
Jones B, Jenkinson I, Wang J (2009) Methodology of using delay-time analysis for a manufacturing industry. Reliab Eng Syst Saf 94(1):111–124
Wang W (2007) A two-stage prognosis model in condition based maintenance. Eur J Oper Res 182(3):1177–1187
Wang W (2009) An inspection model for a process with two types of inspections and repairs [J]. Reliab Eng Syst Saf 94(2):526–533
Wang W, Banjevic D (2012) Ergodicity of forward times of the renewal process in a block-based inspection model using the delay time concept [J]. Reliab Eng Syst Saf 100:1–7
Wang W, Banjevic D, Pecht M (2010) A multi-component and multi-failure mode inspection model based on the delay time concept [J]. Reliab Eng Syst Saf 95(8):912–920
Wang L, Hu H, Wang Y et al (2011) The availability model and parameters estimation method for the delay time model with imperfect maintenance at inspection[J]. Appl Math Model 35(6):2855–2863
Zhao J, Chan AHC, Roberts C, Madelin KB (2007) Reliability evaluation and optimisation of imperfect inspections for a component with multi-defects [J]. Reliab Eng Syst Saf 92(1):65–73
Acknowledgments
This work was supported by the National Natural Science Foundation of China (Grant No. 51105295 and Grant No. 51175403).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Li, X., He, R., Yan, Z. et al. A new imperfect maintenance model based on delay-time concepts for single components with multiple failure modes. Int J Syst Assur Eng Manag 6, 479–486 (2015). https://doi.org/10.1007/s13198-014-0306-6
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13198-014-0306-6