IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v243y2015i3p874-882.html
   My bibliography  Save this article

Cost analysis for multi-component system with failure interaction under renewing free-replacement warranty

Author

Listed:
  • Liu, Bin
  • Wu, Jun
  • Xie, Min

Abstract

In a multi-component system, the assumption of failure independence among components is seldom valid, especially for those complex systems with complicated failure mechanism. For such systems, warranty cost is subject to all the factors including system configuration, quality of each component and the extent of failure dependence among components. In this paper, a model is developed based on renewing free-replacement warranty by considering failure interaction among components. It is assumed that whenever a component (subsystem) fails, it can induce a failure of one or more of the remaining components (subsystems). Cost models for series and parallel system configurations are presented, followed by numerical examples with sensitivity analysis. The results show that, compared with series systems, warranty cost for parallel systems is more sensitive to failure interaction.

Suggested Citation

  • Liu, Bin & Wu, Jun & Xie, Min, 2015. "Cost analysis for multi-component system with failure interaction under renewing free-replacement warranty," European Journal of Operational Research, Elsevier, vol. 243(3), pages 874-882.
  • Handle: RePEc:eee:ejores:v:243:y:2015:i:3:p:874-882
    DOI: 10.1016/j.ejor.2015.01.030
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221715000508
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ejor.2015.01.030?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. Chien, Yu-Hung, 2008. "A general age-replacement model with minimal repair under renewing free-replacement warranty," European Journal of Operational Research, Elsevier, vol. 186(3), pages 1046-1058, May.
    2. Darghouth, M.N. & Chelbi, Anis & Ait-kadi, Daoud, 2012. "A profit assessment model for equipment inspection and replacement under renewing free replacement warranty policy," International Journal of Production Economics, Elsevier, vol. 135(2), pages 899-906.
    3. Bai, Jun & Pham, Hoang, 2006. "Cost analysis on renewable full-service warranties for multi-component systems," European Journal of Operational Research, Elsevier, vol. 168(2), pages 492-508, January.
    4. Bouguerra, Soumaya & Chelbi, Anis & Rezg, Nidhal, 2012. "A decision model for adopting an extended warranty under different maintenance policies," International Journal of Production Economics, Elsevier, vol. 135(2), pages 840-849.
    5. Mahmood Shafiee & Maxim Finkelstein & Ming Zuo, 2013. "Optimal burn-in and preventive maintenance warranty strategies with time-dependent maintenance costs," IISE Transactions, Taylor & Francis Journals, vol. 45(9), pages 1024-1033.
    6. Wang, Hongzhou, 2002. "A survey of maintenance policies of deteriorating systems," European Journal of Operational Research, Elsevier, vol. 139(3), pages 469-489, June.
    7. Yu, Haiyang & Chu, Chengbin & Châtelet, Ėric & Yalaoui, Farouk, 2007. "Reliability optimization of a redundant system with failure dependencies," Reliability Engineering and System Safety, Elsevier, vol. 92(12), pages 1627-1634.
    8. Sheu, Shey-Huei & Chien, Yu-Hung, 2005. "Optimal burn-in time to minimize the cost for general repairable products sold under warranty," European Journal of Operational Research, Elsevier, vol. 163(2), pages 445-461, June.
    9. Shafiee, Mahmood & Chukova, Stefanka, 2013. "Maintenance models in warranty: A literature review," European Journal of Operational Research, Elsevier, vol. 229(3), pages 561-572.
    10. Wei Xie & Haitao Liao & Xiaoyan Zhu, 2014. "Estimation of gross profit for a new durable product considering warranty and post-warranty repairs," IISE Transactions, Taylor & Francis Journals, vol. 46(2), pages 87-105.
    11. Borrero, J.S. & Akhavan-Tabatabaei, R., 2013. "Time and inventory dependent optimal maintenance policies for single machine workstations: An MDP approach," European Journal of Operational Research, Elsevier, vol. 228(3), pages 545-555.
    12. Park, Minjae & Mun Jung, Ki & Park, Dong Ho, 2013. "Optimal post-warranty maintenance policy with repair time threshold for minimal repair," Reliability Engineering and System Safety, Elsevier, vol. 111(C), pages 147-153.
    13. Liu, Bin & Xu, Zhengguo & Xie, Min & Kuo, Way, 2014. "A value-based preventive maintenance policy for multi-component system with continuously degrading components," Reliability Engineering and System Safety, Elsevier, vol. 132(C), pages 83-89.
    14. van der Heijden, Matthieu & Iskandar, Bermawi P., 2013. "Last time buy decisions for products sold under warranty," European Journal of Operational Research, Elsevier, vol. 224(2), pages 302-312.
    15. Lo, Hui-Chiung & Yu, Rouh-Yun, 2013. "A study of quality management strategy for reused products," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 172-177.
    16. Zhi-Sheng Ye & D.N. Murthy & Min Xie & Loon-Ching Tang, 2013. "Optimal burn-in for repairable products sold with a two-dimensional warranty," IISE Transactions, Taylor & Francis Journals, vol. 45(2), pages 164-176.
    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. Hashemi, M. & Asadi, M. & Tavangar, M., 2022. "Optimal maintenance strategies for coherent systems: A warranty dependent approach," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
    2. Nan Zhang & Mitra Fouladirad & Anne Barros, 2018. "Warranty analysis of a two-component system with type I stochastic dependence," Journal of Risk and Reliability, , vol. 232(3), pages 274-283, June.
    3. Shafiee, Mahmood & Chukova, Stefanka, 2013. "Maintenance models in warranty: A literature review," European Journal of Operational Research, Elsevier, vol. 229(3), pages 561-572.
    4. Mohamed Noomane Darghouth & Anis Chelbi & Daoud Ait-kadi, 2017. "Investigating reliability improvement of second-hand production equipment considering warranty and preventive maintenance strategies," International Journal of Production Research, Taylor & Francis Journals, vol. 55(16), pages 4643-4661, August.
    5. Darghouth, M.N. & Ait-kadi, D. & Chelbi, A., 2017. "Joint optimization of design, warranty and price for products sold with maintenance service contracts," Reliability Engineering and System Safety, Elsevier, vol. 165(C), pages 197-208.
    6. Karar, Ahmed Noaman & Labib, Ashraf & Jones, Dylan, 2023. "Post-warranty maintenance strategy selection using shape packages process," International Journal of Production Economics, Elsevier, vol. 255(C).
    7. Insua, David Rios & Ruggeri, Fabrizio & Soyer, Refik & Wilson, Simon, 2020. "Advances in Bayesian decision making in reliability," European Journal of Operational Research, Elsevier, vol. 282(1), pages 1-18.
    8. Zhang, Zhengxin & Si, Xiaosheng & Hu, Changhua & Lei, Yaguo, 2018. "Degradation data analysis and remaining useful life estimation: A review on Wiener-process-based methods," European Journal of Operational Research, Elsevier, vol. 271(3), pages 775-796.
    9. Yukun Wang & Yiliu Liu & Aibo Zhang, 2019. "Preventive maintenance optimization for repairable products considering two-dimensional warranty and customer satisfaction," Journal of Risk and Reliability, , vol. 233(4), pages 553-566, August.
    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. Yun, Won Young & Murthy, D.N.P. & Jack, N., 2008. "Warranty servicing with imperfect repair," International Journal of Production Economics, Elsevier, vol. 111(1), pages 159-169, January.
    12. Oakley, Jordan L. & Wilson, Kevin J. & Philipson, Pete, 2022. "A condition-based maintenance policy for continuously monitored multi-component systems with economic and stochastic dependence," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
    13. Wang, Yukun & Liu, Yiliu & Liu, Zixian & Li, Xiaopeng, 2017. "On reliability improvement program for second-hand products sold with a two-dimensional warranty," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 452-463.
    14. Cha, Ji Hwan & Finkelstein, Maxim & Levitin, Gregory, 2021. "Optimal warranty policy with inspection for heterogeneous, stochastically degrading items," European Journal of Operational Research, Elsevier, vol. 289(3), pages 1142-1152.
    15. Xiaolin Wang & Wei Xie, 2018. "Two-dimensional warranty: A literature review," Journal of Risk and Reliability, , vol. 232(3), pages 284-307, June.
    16. Chen, Jiguang & Hu, Qiying, 2015. "Optimal payment scheme when the supplier’s quality level and cost are unknown," European Journal of Operational Research, Elsevier, vol. 245(3), pages 731-742.
    17. Adkins, Roger & Paxson, Dean, 2017. "Replacement decisions with multiple stochastic values and depreciation," European Journal of Operational Research, Elsevier, vol. 257(1), pages 174-184.
    18. Ji Hwan Cha & Maxim Finkelstein, 2020. "On optimal life extension for degrading systems," Journal of Risk and Reliability, , vol. 234(3), pages 487-495, June.
    19. Wang, Xiaolin & Li, Lishuai & Xie, Min, 2020. "An unpunctual preventive maintenance policy under two-dimensional warranty," European Journal of Operational Research, Elsevier, vol. 282(1), pages 304-318.
    20. Doostparast, Mohammad & Kolahan, Farhad & Doostparast, Mahdi, 2014. "A reliability-based approach to optimize preventive maintenance scheduling for coherent systems," Reliability Engineering and System Safety, Elsevier, vol. 126(C), pages 98-106.

    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:ejores:v:243:y:2015:i:3:p:874-882. 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: http://www.elsevier.com/locate/eor .

    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.