IDEAS home Printed from https://ideas.repec.org/a/eee/reensy/v96y2011i6p627-635.html
   My bibliography  Save this article

A study of a two-phase inspection policy for a preparedness system with a defective state and heterogeneous lifetime

Author

Listed:
  • Cavalcante, Cristiano A.V.
  • Scarf, Philip A.
  • de Almeida, Adiel T.

Abstract

This paper considers an inspection policy for a single component protection or preparedness system, in which the component arises from a heterogeneous population. At any point in time, the system may be in one of three states, good, defective or failed. The system is only required in an emergency, and in order to ensure high availability of the system on-demand, the system undergoes a sequence of inspections. Inspection determines the system state, so that if a transition from the good state occurs between inspections it is not revealed until subsequent inspection. When a defect or failure is revealed, the component is replaced. At the final inspection the component is replaced. We suppose that a component may be either weak or strong, so that the time in the good state has a distribution that is a mixture. In these circumstances, the efficacy of a two-phase inspection policy, with an anticipated high inspection frequency in early life and low inspection frequency in later life, is considered using availability and cost criteria. The policy is investigated in the context of a valve in a natural gas supply network. If the lifetime distributions in the mixture are quite distinct, then cost savings of the order of 5% can be achieved by using the two-phase policy in place of the simpler single phase policy. Furthermore, only if the mean time in the defective state is small or the required availability is very high does the two-phase policy tend to mimic a burn-in policy.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:reensy:v:96:y:2011:i:6:p:627-635
    DOI: 10.1016/j.ress.2010.12.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S095183201000253X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ress.2010.12.004?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. Saassouh, B. & Dieulle, L. & Grall, A., 2007. "Online maintenance policy for a deteriorating system with random change of mode," Reliability Engineering and System Safety, Elsevier, vol. 92(12), pages 1677-1685.
    2. Fouladirad, Mitra & Grall, Antoine & Dieulle, Laurence, 2008. "On the use of on-line detection for maintenance of gradually deteriorating systems," Reliability Engineering and System Safety, Elsevier, vol. 93(12), pages 1814-1820.
    3. Adiel Almeida, 2005. "Multicriteria Modelling of Repair Contract Based on Utility and ELECTRE I Method with Dependability and Service Quality Criteria," Annals of Operations Research, Springer, vol. 138(1), pages 113-126, September.
    4. Scarf, Philip A. & Cavalcante, Cristiano A.V., 2010. "Hybrid block replacement and inspection policies for a multi-component system with heterogeneous component lives," European Journal of Operational Research, Elsevier, vol. 206(2), pages 384-394, October.
    5. 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.
    6. 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.
    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. 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.
    2. Alberti, Alexandre R. & Cavalcante, Cristiano A.V. & Scarf, Philip & Silva, André L.O., 2018. "Modelling inspection and replacement quality for a protection system," Reliability Engineering and System Safety, Elsevier, vol. 176(C), pages 145-153.
    3. Alberti, Alexandre R. & Cavalcante, Cristiano A.V., 2020. "A two-scale maintenance policy for protection systems subject to shocks when meeting demands," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    4. Santos, Augusto César de Jesus & Cavalcante, Cristiano Alexandre Virgínio, 2022. "A study on the economic and environmental viability of second-hand items in maintenance policies," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
    5. Cheng, Yao & Wei, Yian & Liao, Haitao, 2022. "Optimal sampling-based sequential inspection and maintenance plans for a heterogeneous product with competing failure modes," Reliability Engineering and System Safety, Elsevier, vol. 218(PB).
    6. 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).
    7. Li Yang & Yu Zhao & Xiaobing Ma & Qingan Qiu, 2018. "An optimal inspection and replacement policy for a two-unit system," Journal of Risk and Reliability, , vol. 232(6), pages 766-776, December.
    8. Cavalcante, Cristiano A.V. & Lopes, Rodrigo S. & Scarf, Philip A., 2021. "Inspection and replacement policy with a fixed periodic schedule," Reliability Engineering and System Safety, Elsevier, vol. 208(C).
    9. 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.
    10. Berrade, M.D. & Scarf, P.A. & Cavalcante, C.A.V. & Dwight, R.A., 2013. "Imperfect inspection and replacement of a system with a defective state: A cost and reliability analysis," Reliability Engineering and System Safety, Elsevier, vol. 120(C), pages 80-87.
    11. Yang, Li & Ma, Xiaobing & Peng, Rui & Zhai, Qingqing & Zhao, Yu, 2017. "A preventive maintenance policy based on dependent two-stage deterioration and external shocks," Reliability Engineering and System Safety, Elsevier, vol. 160(C), pages 201-211.
    12. Cavalcante, Cristiano A.V. & Lopes, Rodrigo S., 2015. "Multi-criteria model to support the definition of opportunistic maintenance policy: A study in a cogeneration system," Energy, Elsevier, vol. 80(C), pages 32-40.
    13. Berrade, M.D. & Cavalcante, Cristiano A.V. & Scarf, Philip A., 2012. "Maintenance scheduling of a protection system subject to imperfect inspection and replacement," European Journal of Operational Research, Elsevier, vol. 218(3), pages 716-725.
    14. Alberti, A.R. & Neto, W.A. Ferreira & Cavalcante, C.A.V. & Santos, A.C.J., 2022. "Modelling a flexible two-phase inspection-maintenance policy for safety-critical systems considering revised and non-revised inspections," Reliability Engineering and System Safety, Elsevier, vol. 221(C).

    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. Alaswad, Suzan & Xiang, Yisha, 2017. "A review on condition-based maintenance optimization models for stochastically deteriorating system," Reliability Engineering and System Safety, Elsevier, vol. 157(C), pages 54-63.
    2. P A Scarf & H A Majid, 2011. "Modelling warranty extensions: a case study in the automotive industry," Journal of Risk and Reliability, , vol. 225(2), pages 251-265, June.
    3. Fouladirad, Mitra & Grall, Antoine, 2011. "Condition-based maintenance for a system subject to a non-homogeneous wear process with a wear rate transition," Reliability Engineering and System Safety, Elsevier, vol. 96(6), pages 611-618.
    4. 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.
    5. Ponchet, Amélie & Fouladirad, Mitra & Grall, Antoine, 2010. "Assessment of a maintenance model for a multi-deteriorating mode system," Reliability Engineering and System Safety, Elsevier, vol. 95(11), pages 1244-1254.
    6. Brito, Anderson J. & de Almeida, Adiel T., 2012. "Modeling a multi-attribute utility newsvendor with partial backlogging," European Journal of Operational Research, Elsevier, vol. 220(3), pages 820-830.
    7. Alotaibi, Naif M. & Scarf, Philip & Cavalcante, Cristiano A.V. & Lopes, Rodrigo S. & de Oliveira e Silva, André Luiz & Rodrigues, Augusto J.S. & Alyami, Salem A., 2023. "Modified-opportunistic inspection and the case of remote, groundwater well-heads," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
    8. de Jonge, Bram & Scarf, Philip A., 2020. "A review on maintenance optimization," European Journal of Operational Research, Elsevier, vol. 285(3), pages 805-824.
    9. Cavalcante, C.A.V. & Lopes, R.S. & Scarf, P.A., 2018. "A general inspection and opportunistic replacement policy for one-component systems of variable quality," European Journal of Operational Research, Elsevier, vol. 266(3), pages 911-919.
    10. 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.
    11. 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.
    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. Braglia, Marcello & Carmignani, Gionata & Frosolini, Marco & Zammori, Francesco, 2012. "Data classification and MTBF prediction with a multivariate analysis approach," Reliability Engineering and System Safety, Elsevier, vol. 97(1), pages 27-35.
    14. Wenbin Wang & Wenjuan Zhang, 2005. "A model to predict the residual life of aircraft engines based upon oil analysis data," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(3), pages 276-284, April.
    15. Alberti, Alexandre R. & Cavalcante, Cristiano A.V. & Scarf, Philip & Silva, André L.O., 2018. "Modelling inspection and replacement quality for a protection system," Reliability Engineering and System Safety, Elsevier, vol. 176(C), pages 145-153.
    16. 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.
    17. Santos, Augusto César de Jesus & Cavalcante, Cristiano Alexandre Virgínio, 2022. "A study on the economic and environmental viability of second-hand items in maintenance policies," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
    18. de Jonge, Bram & Teunter, Ruud & Tinga, Tiedo, 2017. "The influence of practical factors on the benefits of condition-based maintenance over time-based maintenance," Reliability Engineering and System Safety, Elsevier, vol. 158(C), pages 21-30.
    19. 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.
    20. M Black & A T Brint & J R Brailsford, 2005. "A semi-Markov approach for modelling asset deterioration," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(11), pages 1241-1249, November.

    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:96:y:2011:i:6:p:627-635. 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.