IDEAS home Printed from https://ideas.repec.org/a/eee/reensy/v162y2017icp14-27.html
   My bibliography  Save this article

Flexible decision models for a two-dimensional warranty policy with periodic preventive maintenance

Author

Listed:
  • Wang, Jinting
  • Zhou, Zhuang
  • Peng, Hao

Abstract

We study the consumer's and the manufacturer's optimal strategies for items sold with periodic preventive maintenance (PM) under a two-dimensional warranty policy. The cooperative and non-cooperative interactions between the manufacturer and the consumer are investigated for both the base warranty (BW) period and the extended warranty (EW) period. Under the BW, we propose a new upgrade model where the cost of PM is shared by two sides. In the EW period, consumers are assumed to have the option to either accept or reject PM at each time based on his utility. Two upgrade models are built and the revenue functions are analyzed. Profit maximization and cost minimization for both sides are analyzed by a game-theoretic approach. It is shown that the manufacturer's and the consumer's decisions are different, so the induced hazard rate functions are also different. In static and dynamic scenarios, we derive the equilibrium number of PM, the equilibrium value of acceptance probability and the equilibrium upgrade level for both the BW and the EW cases. Numerical examples are discussed to demonstrate the applicability of the methodologies. The results about the optimal solutions of the expected profit functions for the consumers and the manufacturer are provided.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:reensy:v:162:y:2017:i:c:p:14-27
    DOI: 10.1016/j.ress.2017.01.012
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0951832017300613
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ress.2017.01.012?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. Shafiee, Mahmood & Chukova, Stefanka, 2013. "Maintenance models in warranty: A literature review," European Journal of Operational Research, Elsevier, vol. 229(3), pages 561-572.
    2. Xiaolin Wang & Chun Su, 2016. "A two-dimensional preventive maintenance strategy for items sold with warranty," International Journal of Production Research, Taylor & Francis Journals, vol. 54(19), pages 5901-5915, October.
    3. Su, Chun & Wang, Xiaolin, 2016. "A two-stage preventive maintenance optimization model incorporating two-dimensional extended warranty," Reliability Engineering and System Safety, Elsevier, vol. 155(C), pages 169-178.
    4. Wang, Yukun & Liu, Zixian & Liu, Yiliu, 2015. "Optimal preventive maintenance strategy for repairable items under two-dimensional warranty," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 326-333.
    5. Wu, Shaomin & Longhurst, Phil, 2011. "Optimising age-replacement and extended non-renewing warranty policies in lifecycle costing," International Journal of Production Economics, Elsevier, vol. 130(2), pages 262-267, April.
    6. Yeu-Shiang Huang & Chia Yen, 2009. "A study of two-dimensional warranty policies with preventive maintenance," IISE Transactions, Taylor & Francis Journals, vol. 41(4), pages 299-308.
    7. repec:bla:jemstr:v:4:y:1995:i:1:p:33-53:a is not listed on IDEAS
    8. Lam, Yeh & Kwok Wai Lam, Peggo, 2001. "An extended warranty policy with options open to consumers," European Journal of Operational Research, Elsevier, vol. 131(3), pages 514-529, June.
    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. Pham, Hoang & Wang, Hongzhou, 1996. "Imperfect maintenance," European Journal of Operational Research, Elsevier, vol. 94(3), pages 425-438, November.
    11. 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.
    12. Padmanabhan, V, 1995. "Usage Heterogeneity and Extended Warranties," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 4(1), pages 33-53, Spring.
    13. Wu, Shaomin, 2014. "Warranty return policies for products with unknown claim causes and their optimisation," International Journal of Production Economics, Elsevier, vol. 156(C), pages 52-61.
    14. 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.
    15. Ye, Zhi-Sheng & Murthy, D.N. Pra, 2016. "Warranty menu design for a two-dimensional warranty," Reliability Engineering and System Safety, Elsevier, vol. 155(C), pages 21-29.
    16. 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.
    17. 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.
    18. Blischke, W. R. & Murthy, D. N. P., 1992. "Product warranty management -- I: A taxonomy for warranty policies," European Journal of Operational Research, Elsevier, vol. 62(2), pages 127-148, October.
    19. S Varnosafaderani & S Chukova, 2012. "An imperfect repair strategy for two-dimensional warranty," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(6), pages 846-859, June.
    20. 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.
    21. Lin, Jing & Pulido, Julio & Asplund, Matthias, 2015. "Reliability analysis for preventive maintenance based on classical and Bayesian semi-parametric degradation approaches using locomotive wheel-sets as a case study," Reliability Engineering and System Safety, Elsevier, vol. 134(C), pages 143-156.
    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. Xiaodong Zhu & Lingfei Yu & Wei Li, 2019. "Warranty Period Decision and Coordination in Closed-Loop Supply Chains Considering Remanufacturing and Consumer Behavior," Sustainability, MDPI, vol. 11(15), pages 1-26, August.
    2. 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).
    3. Xiaodong Zhu & Lingfei Yu, 2019. "The Impact of Warranty Efficiency of Remanufactured Products on Production Decisions and Green Growth Performance in Closed-Loop Supply Chain: Perspective of Consumer Behavior," Sustainability, MDPI, vol. 11(5), pages 1-24, March.
    4. Wang, Xiaolin & Zhao, Xiujie & Liu, Bin, 2020. "Design and pricing of extended warranty menus based on the multinomial logit choice model," European Journal of Operational Research, Elsevier, vol. 287(1), pages 237-250.
    5. Liu, Biyu & Pang, Jie & Yang, Haidong & Zhao, Yilin, 2024. "Optimal condition-based maintenance policy for leased equipment considering hybrid preventive maintenance and periodic inspection," Reliability Engineering and System Safety, Elsevier, vol. 242(C).
    6. Liu, Bin & Shen, Lijuan & Xu, Jianyu & Zhao, Xiujie, 2020. "A complimentary extended warranty: Profit analysis and pricing strategy," International Journal of Production Economics, Elsevier, vol. 229(C).
    7. Lijun Shang & Guojun Shang & Qingan Qiu, 2022. "A Bivariate Post-Warranty Maintenance Model for the Product under a 2D Warranty," Mathematics, MDPI, vol. 10(12), pages 1-18, June.
    8. Xiaolin Wang & Wei Xie, 2018. "Two-dimensional warranty: A literature review," Journal of Risk and Reliability, , vol. 232(3), pages 284-307, June.
    9. 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.
    10. Wu, Shaomin, 2024. "A copula-based approach to modelling the failure process of items under two-dimensional warranty and applications," European Journal of Operational Research, Elsevier, vol. 314(3), pages 854-866.
    11. 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).
    12. 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).
    13. Park, Minjae & Jung, Ki Mun & Park, Dong Ho, 2018. "Optimization of periodic preventive maintenance policy following the expiration of two-dimensional warranty," Reliability Engineering and System Safety, Elsevier, vol. 170(C), pages 1-9.
    14. Safaei, Fatemeh & Taghipour, Sharareh, 2022. "Optimal preventive maintenance for repairable products with three types of failures sold under a renewable hybrid FRW/PRW policy," Reliability Engineering and System Safety, Elsevier, vol. 223(C).
    15. 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.
    16. Zhao, Xiujie & Liu, Bin & Xu, Jianyu & Wang, Xiao-Lin, 2023. "Imperfect maintenance policies for warranted products under stochastic performance degradation," European Journal of Operational Research, Elsevier, vol. 308(1), pages 150-165.
    17. Liu, Peng & Wang, Guanjun & Su, Peng, 2021. "Optimal maintenance strategies for warranty products with limited repair time and limited repair number," Reliability Engineering and System Safety, Elsevier, vol. 210(C).
    18. 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).
    19. 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.

    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. Xiaolin Wang & Wei Xie, 2018. "Two-dimensional warranty: A literature review," Journal of Risk and Reliability, , vol. 232(3), pages 284-307, June.
    2. Anshu Dai & Guanzhou Wei & Zhaomin Zhang & Shuguang He, 2020. "Design of a flexible preventive maintenance strategy for two-dimensional warranted products," Journal of Risk and Reliability, , vol. 234(1), pages 74-87, February.
    3. Zhao, Xiujie & He, Shuguang & Xie, Min, 2018. "Utilizing experimental degradation data for warranty cost optimization under imperfect repair," Reliability Engineering and System Safety, Elsevier, vol. 177(C), pages 108-119.
    4. 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.
    5. 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.
    6. 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.
    7. Wang, Yukun & Liu, Zixian & Liu, Yiliu, 2015. "Optimal preventive maintenance strategy for repairable items under two-dimensional warranty," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 326-333.
    8. 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).
    9. Rui Zheng & Chun Su & Yuqiao Zheng, 2020. "Two-stage flexible warranty decision-making considering downtime loss," Journal of Risk and Reliability, , vol. 234(3), pages 527-535, June.
    10. 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.
    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. 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.
    13. Afsahi, Mohsen & Shafiee, Mahmood, 2020. "A stochastic simulation-optimization model for base-warranty and extended-warranty decision-making of under- and out-of-warranty products," Reliability Engineering and System Safety, Elsevier, vol. 197(C).
    14. 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.
    15. de Jonge, Bram & Scarf, Philip A., 2020. "A review on maintenance optimization," European Journal of Operational Research, Elsevier, vol. 285(3), pages 805-824.
    16. Liu, Bin & Shen, Lijuan & Xu, Jianyu & Zhao, Xiujie, 2020. "A complimentary extended warranty: Profit analysis and pricing strategy," International Journal of Production Economics, Elsevier, vol. 229(C).
    17. Kirkizoğlu, Zeynep & Karaer, Özgen, 2022. "After-sales service and warranty decisions of a durable goods manufacturer," Omega, Elsevier, vol. 113(C).
    18. 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.
    19. 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.
    20. 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).

    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:162:y:2017:i:c:p:14-27. 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.