IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v51y2004i3p345-362.html
   My bibliography  Save this article

Two‐dimensional failure modeling with minimal repair

Author

Listed:
  • J. Baik
  • D.N.P. Murthy
  • N. Jack

Abstract

In this paper, we discuss two‐dimensional failure modeling for a system where degradation is due to age and usage. We extend the concept of minimal repair for the one‐dimensional case to the two‐dimensional case and characterize the failures over a two‐dimensional region under minimal repair. An application of this important result to a manufacturer's servicing costs for a two‐dimensional warranty policy is given and we compare the minimal repair strategy with the strategy of replacement of failure. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004.

Suggested Citation

  • J. Baik & D.N.P. Murthy & N. Jack, 2004. "Two‐dimensional failure modeling with minimal repair," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(3), pages 345-362, April.
    • Handle: RePEc:wly:navres:v:51:y:2004:i:3:p:345-362
    DOI: 10.1002/nav.10120
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/nav.10120
    Download Restriction: no
    File URL: https://libkey.io/10.1002/nav.10120?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. N Jack & D N P Murthy, 2001. "A servicing strategy for items sold under warranty," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(11), pages 1284-1288, November.
    2. Jye Lu & Gouri Bhattacharyya, 1990. "Some new constructions of bivariate Weibull models," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 42(3), pages 543-559, September.
    3. Jack, Nat & Van der Duyn Schouten, Frank, 2000. "Optimal repair-replace strategies for a warranted product," International Journal of Production Economics, Elsevier, vol. 67(1), pages 95-100, August.
    4. Nakagawa, Toshio & Kowada, Masashi, 1983. "Analysis of a system with minimal repair and its application to replacement policy," European Journal of Operational Research, Elsevier, vol. 12(2), pages 176-182, February.
    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. Huang, Yeu-Shiang & Ho, Jyh-Wen & Hung, Jin-Wei & Tseng, Tzu-Liang (Bill), 2021. "A customized warranty model by considering multi-usage levels for the leasing industry," Reliability Engineering and System Safety, Elsevier, vol. 215(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. Huang, Yeu-Shiang & Gau, Wei-Yo & Ho, Jyh-Wen, 2015. "Cost analysis of two-dimensional warranty for products with periodic preventive maintenance," Reliability Engineering and System Safety, Elsevier, vol. 134(C), pages 51-58.
    2. Cha, Ji Hwan & Finkelstein, Maxim, 2016. "On information-based warranty policy for repairable products from heterogeneous populationAuthor-Name: Lee, Hyunju," European Journal of Operational Research, Elsevier, vol. 253(1), pages 204-215.
    3. Jack, N. & Iskandar, B.P. & Murthy, D.N.P., 2009. "A repair–replace strategy based on usage rate for items sold with a two-dimensional warranty," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 611-617.
    4. 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.
    5. Mamabolo R. M. & Beichelt F. E., 2004. "Maintenance Policies with Minimal Repair," Stochastics and Quality Control, De Gruyter, vol. 19(2), pages 143-166, January.
    6. Coria, V.H. & Maximov, S. & Rivas-Dávalos, F. & Melchor, C.L. & Guardado, J.L., 2015. "Analytical method for optimization of maintenance policy based on available system failure data," Reliability Engineering and System Safety, Elsevier, vol. 135(C), pages 55-63.
    7. Sheu, Shey-Huei, 1998. "A generalized age and block replacement of a system subject to shocks," European Journal of Operational Research, Elsevier, vol. 108(2), pages 345-362, July.
    8. Andrén, Daniela, 2001. "Short-Term Absenteeism Due To Sickness: The Swedish Experience, 1986 - 1991," Working Papers in Economics 46, University of Gothenburg, Department of Economics.
    9. Tsai, Hsin-Nan & Sheu, Shey-Huei & Zhang, Zhe George, 2017. "A trivariate optimal replacement policy for a deteriorating system based on cumulative damage and inspections," Reliability Engineering and System Safety, Elsevier, vol. 160(C), pages 74-88.
    10. Shey-Huei Sheu & Tzu-Hsin Liu & Zhe-George Zhang & Hsin-Nan Tsai & Jung-Chih Chen, 2016. "Optimal two-threshold replacement policy in a cumulative damage model," Annals of Operations Research, Springer, vol. 244(1), pages 23-47, September.
    11. Daniel Villanueva & Andrés Feijóo & José L. Pazos, 2013. "Multivariate Weibull Distribution for Wind Speed and Wind Power Behavior Assessment," Resources, MDPI, vol. 2(3), pages 1-15, September.
    12. Ciriaco Valdez‐Flores & Richard M. Feldman, 1989. "A survey of preventive maintenance models for stochastically deteriorating single‐unit systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(4), pages 419-446, August.
    13. 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.
    14. M. Chahkandi & Jafar Ahmadi & S. Baratpour, 2014. "Non-parametric prediction intervals for the lifetime of coherent systems," Statistical Papers, Springer, vol. 55(4), pages 1019-1034, November.
    15. Sheu, Shey-Huei, 1999. "Extended optimal replacement model for deteriorating systems," European Journal of Operational Research, Elsevier, vol. 112(3), pages 503-516, February.
    16. Hooti, Fatemeh & Ahmadi, Jafar & Longobardi, Maria, 2020. "Optimal extended warranty length with limited number of repairs in the warranty period," Reliability Engineering and System Safety, Elsevier, vol. 203(C).
    17. Sheu, Shey-Huei & Liu, Tzu-Hsin & Sheu, Wei-Teng & Zhang, Zhe-George & Ke, Jau-Chuan, 2021. "Optimal replacement policy with replacement last under cumulative damage models," Reliability Engineering and System Safety, Elsevier, vol. 209(C).
    18. Ozyoruk, Emin & Erkip, Nesim Kohen & Ararat, Çağın, 2022. "End-of-life inventory management problem: Results and insights," International Journal of Production Economics, Elsevier, vol. 243(C).
    19. Guan Jun Wang & Yuan Lin Zhang, 2016. "Optimal replacement policy for a two-dissimilar-component cold standby system with different repair actions," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(5), pages 1021-1031, April.
    20. Sheu, Shey-Huei & Tsai, Hsin-Nan & Sheu, Uan-Yu & Zhang, Zhe George, 2019. "Optimal replacement policies for a system based on a one-cycle criterion," Reliability Engineering and System Safety, Elsevier, vol. 191(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:51:y:2004:i:3:p:345-362. 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.