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Two-Dimensional Failure-Free Warranty Policies: Two-Dimensional Point Process Models

Author

Listed:
  • D. N. P. Murthy

    (The University of Queensland, St. Lucia, Queensland, Australia)

  • B. P. Iskandar

    (The University of Queensland, St. Lucia, Queensland, Australia)

  • R. J. Wilson

    (The University of Queensland, St. Lucia, Queensland, Australia)

Abstract

A two-dimensional warranty policy is characterized by a region in a two-dimensional plane with the horizontal axis representing time and the vertical axis the usage. In this paper, we study two-dimensional failure-free warranty policies for nonrepairable items that require the manufacturer to replace all items which fail under warranty by new ones at no cost to the buyer. We derive expressions for the expected warranty cost per item sold and for the expected life cycle cost for four different warranty regions. We illustrate these by numerical examples and discuss some resulting implications for the consumer and the manufacturer.

Suggested Citation

  • D. N. P. Murthy & B. P. Iskandar & R. J. Wilson, 1995. "Two-Dimensional Failure-Free Warranty Policies: Two-Dimensional Point Process Models," Operations Research, INFORMS, vol. 43(2), pages 356-366, April.
    • Handle: RePEc:inm:oropre:v:43:y:1995:i:2:p:356-366
    DOI: 10.1287/opre.43.2.356
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    Citations

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    Cited by:

    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. Chun Su & Xiaolin Wang, 2016. "Modeling flexible two-dimensional warranty contracts for used products considering reliability improvement actions," Journal of Risk and Reliability, , vol. 230(2), pages 237-247, April.
    3. Peng, Shizhe & Jiang, Wei & Huang, Wenpo & Luo, Qinglin, 2024. "The impact of gamma usage processes on preventive maintenance policies under two-dimensional warranty," Reliability Engineering and System Safety, Elsevier, vol. 242(C).
    4. Tong Peng & Liu Chunling, 2020. "Designing differential service strategy for two-dimensional warranty based on warranty claim data under consumer-side modularisation," Journal of Risk and Reliability, , vol. 234(3), pages 550-561, June.
    5. Jung, M. & Bai, D.S., 2007. "Analysis of field data under two-dimensional warranty," Reliability Engineering and System Safety, Elsevier, vol. 92(2), pages 135-143.
    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. de Jonge, Bram & Jakobsons, Edgars, 2018. "Optimizing block-based maintenance under random machine usage," European Journal of Operational Research, Elsevier, vol. 265(2), pages 703-709.
    8. Chun Su & Longfei Cheng, 2019. "Two-dimensional preventive maintenance optimum for equipment sold with availability-based warranty," Journal of Risk and Reliability, , vol. 233(4), pages 648-657, August.
    9. 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.
    10. Xiaolin Wang & Wei Xie, 2018. "Two-dimensional warranty: A literature review," Journal of Risk and Reliability, , vol. 232(3), pages 284-307, June.
    11. 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.
    12. Wang, Yukun & Liu, Yiliu & Li, Xiaopeng & Chen, Junyan, 2019. "Multi-phase reliability growth test planning for repairable products sold with a two-dimensional warranty," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 315-326.
    13. Wei Xie, 2017. "Optimal pricing and two-dimensional warranty policies for a new product," International Journal of Production Research, Taylor & Francis Journals, vol. 55(22), pages 6857-6870, November.
    14. Peng, Shizhe & Jiang, Wei & Wei, Lai & Wang, Xiao-Lin, 2022. "A new cost-sharing preventive maintenance program under two-dimensional warranty," International Journal of Production Economics, Elsevier, vol. 254(C).
    15. 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.
    16. 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.
    17. 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.
    18. Wang, Jinting & Zhou, Zhuang & Peng, Hao, 2017. "Flexible decision models for a two-dimensional warranty policy with periodic preventive maintenance," Reliability Engineering and System Safety, Elsevier, vol. 162(C), pages 14-27.
    19. 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.

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