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Managing the Inventory of an Item with a Replacement Warranty

Author

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  • Wei Huang

    (Department of Statistics and Operations Research, University of North Carolina, Chapel Hill, North Carolina 27599)

  • Vidyadhar Kulkarni

    (Department of Statistics and Operations Research, University of North Carolina, Chapel Hill, North Carolina 27599)

  • Jayashankar M. Swaminathan

    (The Kenan-Flagler Business School, University of North Carolina, Chapel Hill, North Carolina 27599)

Abstract

In this paper, we study a firm that faces demand from two sources: demand for new items and demand to replace failed items under warranty. We model this setting as a multiperiod single-product inventory problem where the demands for new items in different periods are independent and the demands for replacing failed items depend on the number and ages of the items under warranty. We consider backlogging and emergency supply cases, and study both discounted cost and average cost criteria. We prove the optimality of the w-dependent base-stock ordering policy where the base-stock level is a function of w, the vector representing the number of items at different ages currently under warranty. For the special case where the demand for new products is identically distributed, we prove the optimality of a stationary w-dependent base stock policy for the finite-horizon discounted and the infinite-horizon discounted and average cost cases. In our computational study, we find that an optimal w-dependent policy can lead to 69% average improvement in expected costs when compared to a policy that neglects demands from items under warranty.

Suggested Citation

  • Wei Huang & Vidyadhar Kulkarni & Jayashankar M. Swaminathan, 2008. "Managing the Inventory of an Item with a Replacement Warranty," Management Science, INFORMS, vol. 54(8), pages 1441-1452, August.
    • Handle: RePEc:inm:ormnsc:v:54:y:2008:i:8:p:1441-1452
    DOI: 10.1287/mnsc.1080.0863
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    References listed on IDEAS

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    Citations

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    Cited by:

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    3. Andre P. Calmon & Stephen C. Graves, 2017. "Inventory Management in a Consumer Electronics Closed-Loop Supply Chain," Manufacturing & Service Operations Management, INFORMS, vol. 19(4), pages 568-585, October.
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    5. Nabajyoti Bhattacharjee & Nabendu Sen & Sanjukta Malakar, 2022. "A sustainable retailer’s inventory model to study the partial replacement for deteriorating items with variable shelf-life," OPSEARCH, Springer;Operational Research Society of India, vol. 59(4), pages 1502-1521, December.
    6. 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).
    7. Kunpeng Li & Suman Mallik & Dilip Chhajed, 2012. "Design of Extended Warranties in Supply Chains under Additive Demand," Production and Operations Management, Production and Operations Management Society, vol. 21(4), pages 730-746, July.
    8. Çerağ Pinçe & Mark Ferguson & Beril Toktay, 2016. "Extracting Maximum Value from Consumer Returns: Allocating Between Remarketing and Refurbishing for Warranty Claims," Manufacturing & Service Operations Management, INFORMS, vol. 18(4), pages 475-492, October.
    9. 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).
    10. Barιş Ata & Deishin Lee & Erkut Sönmez, 2019. "Dynamic Volunteer Staffing in Multicrop Gleaning Operations," Operations Research, INFORMS, vol. 67(2), pages 295-314, March.
    11. Vinayak Deshpande & Jayashankar M. Swaminathan, 2020. "Introduction to the Special Issue on Responsible Operations and Supply Chain Management," Manufacturing & Service Operations Management, INFORMS, vol. 22(6), pages 1107-1111, November.

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