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Last time buy decisions for products sold under warranty

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  • van der Heijden, Matthieu
  • Iskandar, Bermawi P.

Abstract

Manufacturers supplying products under warranty need a strategy to deal with failures during the warranty period: repair the product or replace it by a new one, depending on e.g. age and/or usage of the failed product. An (implicit) assumption in virtually all models is that new products to replace the failed ones are immediately available at given replacement costs. Because of the short life cycles of many products, manufacturing may be discontinued before the end of the warranty period. At that point in time, the supplier has to decide how many products to put on the shelf to replace failed products under warranty that will be returned from the field (the last time buy decision). This is a trade-off between product availability for replacement and costs of product obsolescence. In this paper, we consider the joint optimization of repair-replacement decisions and the last time buy quantity for products sold under warranty. We develop approximations to estimate the total relevant costs and service levels for this problem, and show that we can easily find near-optimal last time buy quantities using a numerical search. Comparison to discrete event simulation results shows an excellent performance of our methods.

Suggested Citation

  • van der Heijden, Matthieu & Iskandar, Bermawi P., 2013. "Last time buy decisions for products sold under warranty," European Journal of Operational Research, Elsevier, vol. 224(2), pages 302-312.
    • Handle: RePEc:eee:ejores:v:224:y:2013:i:2:p:302-312
    DOI: 10.1016/j.ejor.2012.07.041
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    References listed on IDEAS

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    1. Karl Inderfurth & Kampan Mukherjee, 2008. "Decision support for spare parts acquisition in post product life cycle," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 16(1), pages 17-42, March.
    2. 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.
    3. Teunter, Ruud H. & Klein Haneveld, Willem K., 1998. "The `final orderrs problem," European Journal of Operational Research, Elsevier, vol. 107(1), pages 35-44, May.
    4. M. Pourakbar & E. Laan & R. Dekker, 2014. "End-of-Life Inventory Problem with Phaseout Returns," Production and Operations Management, Production and Operations Management Society, vol. 23(9), pages 1561-1576, September.
    5. 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.
    6. 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.
    7. Teunter, Ruud H. & Klein Haneveld, Willem K., 2002. "Inventory control of service parts in the final phase," European Journal of Operational Research, Elsevier, vol. 137(3), pages 497-511, March.
    8. Murthy, D. N. P. & Solem, O. & Roren, T., 2004. "Product warranty logistics: Issues and challenges," European Journal of Operational Research, Elsevier, vol. 156(1), pages 110-126, July.
    9. John R. Moore, Jr., 1971. "Forecasting and Scheduling for Past-Model Replacement Parts," Management Science, INFORMS, vol. 18(4-Part-I), pages 200-213, December.
    10. Krikke, H.R. & van der Laan, E., 2009. "Last Time Buy and Control Policies With Phase-Out Returns : A Case Study in Plant Control Systems," Other publications TiSEM c1a3c438-6d31-4147-afd7-8, Tilburg University, School of Economics and Management.
    11. D Lugtigheid & X Jiang & A K S Jardine, 2008. "A finite horizon model for repairable systems with repair restrictions," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(10), pages 1321-1331, October.
    12. Pourakbar, M. & Frenk, J.B.G. & Dekker, R., 2010. "End-of-Life Inventory Decisions for Consumer Electronics Service Parts," Econometric Institute Research Papers EI 2009-48, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    13. 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.
    14. K Sahyouni & R C Savaskan & M S Daskin, 2010. "The effect of lifetime buys on warranty repair operations," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(5), pages 790-803, May.
    15. Bermawi P. Iskandar & Nat Jack & D. N. Pra Murthy, 2012. "Two New Servicing Strategies For Products Sold With Warranty," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 29(03), pages 1-16.
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    3. Dombi, József & Jónás, Tamás & Tóth, Zsuzsanna Eszter, 2018. "Modeling and long-term forecasting demand in spare parts logistics businesses," International Journal of Production Economics, Elsevier, vol. 201(C), pages 1-17.
    4. Chen, Jiguang & Hu, Qiying, 2015. "Optimal payment scheme when the supplier’s quality level and cost are unknown," European Journal of Operational Research, Elsevier, vol. 245(3), pages 731-742.
    5. 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).
    6. Adkins, Roger & Paxson, Dean, 2017. "Replacement decisions with multiple stochastic values and depreciation," European Journal of Operational Research, Elsevier, vol. 257(1), pages 174-184.
    7. Behfard, S. & van der Heijden, M.C. & Al Hanbali, A. & Zijm, W.H.M., 2015. "Last time buy and repair decisions for spare parts," European Journal of Operational Research, Elsevier, vol. 244(2), pages 498-510.
    8. Prasanta Kumar Ghosh & Amalesh Kumar Manna & Jayanta Kumar Dey & Samarjit Kar, 2023. "Optimal production run in an imperfect production process with maintenance under warranty and product insurance," OPSEARCH, Springer;Operational Research Society of India, vol. 60(2), pages 720-752, June.
    9. Chen, Cheng-Kang & Lo, Chih-Chung & Weng, Tzu-Chun, 2017. "Optimal production run length and warranty period for an imperfect production system under selling price dependent on warranty period," European Journal of Operational Research, Elsevier, vol. 259(2), pages 401-412.
    10. Dwayne Cole & Burak Kazaz & Scott Webster, 2016. "Final purchase and trade-in decisions in response to a component phase-out announcement: a deterministic analysis," International Journal of Production Research, Taylor & Francis Journals, vol. 54(5), pages 1257-1272, March.
    11. Liu, Bin & Wu, Jun & Xie, Min, 2015. "Cost analysis for multi-component system with failure interaction under renewing free-replacement warranty," European Journal of Operational Research, Elsevier, vol. 243(3), pages 874-882.
    12. Kim, T.Y. & Dekker, R. & Heij, C., 2016. "Spare part demand forecasting for consumer goods using installed base information," Econometric Institute Research Papers EI2016-11, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.

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