IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v52y2005i3p224-231.html
   My bibliography  Save this article

Stochastic modeling for computational warranty analysis

Author

Listed:
  • M.A. Wortman
  • Debra A. Elkins

Abstract

We examine two key stochastic processes of interest for warranty modeling: (1) remaining total warranty coverage time exposure and (2) warranty load (total items under warranty at time t). Integral equations suitable for numerical computation are developed to yield probability law for these warranty measures. These two warranty measures permit warranty managers to better understand time‐dependent warranty behavior, and thus better manage warranty cash reserves. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005.

Suggested Citation

  • M.A. Wortman & Debra A. Elkins, 2005. "Stochastic modeling for computational warranty analysis," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(3), pages 224-231, April.
    • Handle: RePEc:wly:navres:v:52:y:2005:i:3:p:224-231
    DOI: 10.1002/nav.20062
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/nav.20062
    Download Restriction: no
    File URL: https://libkey.io/10.1002/nav.20062?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
    ---><---

    References listed on IDEAS

    as
    1. Marlin U. Thomas & Sridevi S. Rao, 1999. "Warranty Economic Decision Models: A Summary and Some Suggested Directions for Future Research," Operations Research, INFORMS, vol. 47(6), pages 807-820, December.
    2. Murthy, D. N. P. & Blischke, W. R., 1992. "Product warranty management -- III: A review of mathematical models," European Journal of Operational Research, Elsevier, vol. 63(1), pages 1-34, November.
    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. SamatlI-Pa, Glay & Taner, Mehmet R., 2009. "The role of repair strategy in warranty cost minimization: An investigation via quasi-renewal processes," European Journal of Operational Research, Elsevier, vol. 197(2), pages 632-641, September.
    2. Kirkizoğlu, Zeynep & Karaer, Özgen, 2022. "After-sales service and warranty decisions of a durable goods manufacturer," Omega, Elsevier, vol. 113(C).
    3. Xiaolin Wang & Wei Xie, 2018. "Two-dimensional warranty: A literature review," Journal of Risk and Reliability, , vol. 232(3), pages 284-307, June.
    4. Moura, Márcio das Chagas & Santana, João Mateus & Droguett, Enrique López & Lins, Isis Didier & Guedes, Bruno Nunes, 2017. "Analysis of extended warranties for medical equipment: A Stackelberg game model using priority queues," Reliability Engineering and System Safety, Elsevier, vol. 168(C), pages 338-354.
    5. Liu, Yiliu & Liu, Zixian & Wang, Yukun, 2013. "Customized warranty offering for configurable products," Reliability Engineering and System Safety, Elsevier, vol. 118(C), pages 1-7.
    6. Mitra, Amitava, 2021. "Warranty parameters for extended two-dimensional warranties incorporating consumer preferences," European Journal of Operational Research, Elsevier, vol. 291(2), pages 525-535.
    7. 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.
    8. Chien, Yu-Hung & Chen, Jih-An, 2008. "Optimal spare ordering policy under a rebate warranty," European Journal of Operational Research, Elsevier, vol. 186(2), pages 708-719, April.
    9. Wu, Shaomin, 2011. "Warranty claim analysis considering human factors," Reliability Engineering and System Safety, Elsevier, vol. 96(1), pages 131-138.
    10. J-A Chen & Y-H Chien, 2007. "Optimal age-replacement policy for renewing warranted products," Journal of Risk and Reliability, , vol. 221(4), pages 229-237, December.
    11. W. Y. Yun & K. M. Kang, 2007. "Imperfect repair policies under two-dimensional warranty," Journal of Risk and Reliability, , vol. 221(4), pages 239-247, December.
    12. Zuo, Ming J. & Liu, Bin & Murthy, D. N. P., 2000. "Replacement-repair policy for multi-state deteriorating products under warranty," European Journal of Operational Research, Elsevier, vol. 123(3), pages 519-530, June.
    13. Chien, Yu-Hung, 2012. "The effects of a free-repair warranty on the discrete-time periodic replacement policy," International Journal of Production Economics, Elsevier, vol. 135(2), pages 832-839.
    14. Lu, Zhen & Shang, Jennifer, 2019. "Warranty mechanism for pre-owned tech products: Collaboration between E-tailers and online warranty provider," International Journal of Production Economics, Elsevier, vol. 211(C), pages 119-131.
    15. Bhargava, Hemant K. & Sun, Daewon, 2008. "Pricing under quality of service uncertainty: Market segmentation via statistical QoS guarantees," European Journal of Operational Research, Elsevier, vol. 191(3), pages 1189-1204, December.
    16. Jeon, Jeasu & Sohn, So Young, 2015. "Product failure pattern analysis from warranty data using association rule and Weibull regression analysis: A case study," Reliability Engineering and System Safety, Elsevier, vol. 133(C), pages 176-183.
    17. 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.
    18. Jiang, R., 2008. "A Gamma–normal series truncation approximation for computing the Weibull renewal function," Reliability Engineering and System Safety, Elsevier, vol. 93(4), pages 616-626.
    19. Yeh, Ruey Huei & Lo, Hui-Chiung, 2001. "Optimal preventive-maintenance warranty policy for repairable products," European Journal of Operational Research, Elsevier, vol. 134(1), pages 59-69, October.
    20. Lin, Yizhong & Leung, Janny M.Y. & Zhang, Lianmin & Gu, Jia-Wen, 2020. "Single-item repairable inventory system with stochastic new and warranty demands," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 142(C).

    More about this item

    Statistics

    Access and download statistics

    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:wly:navres:v:52:y:2005:i:3:p:224-231. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1520-6750 .

    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.