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An inventory model for slow moving items subject to obsolescence


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  • Pinçe, Çerag
  • Dekker, Rommert


In this paper, we consider a continuous review inventory system of a slow moving item for which the demand rate drops to a lower level at a known future time instance. The inventory system is controlled according to a one-for-one replenishment policy with a fixed lead time. Adapting to lower demand is achieved by changing the control policy in advance and letting the demand take away the excess stocks. We show that the timing of the control policy change primarily determines the tradeoff between backordering penalties and obsolescence costs. We propose an approximate solution for the optimal time to shift to the new control policy minimizing the expected total cost during the transient period. We find that the advance policy change results in significant cost savings and the approximation yields near optimal expected total costs.

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Bibliographic Info

Article provided by Elsevier in its journal European Journal of Operational Research.

Volume (Year): 213 (2011)
Issue (Month): 1 (August)
Pages: 83-95

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Handle: RePEc:eee:ejores:v:213:y:2011:i:1:p:83-95

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Keywords: Inventory control Spare parts Obsolescence Advance policy change Excess stock Installed base;

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  1. G. Hadley & T. M. Whitin, 1962. "A Family of Dynamic Inventory Models," Management Science, INFORMS, vol. 8(4), pages 458-469, July.
  2. 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.
  3. George W. Brown & John Y. Lu & Robert J. Wolfson, 1964. "Dynamic Modeling of Inventories Subject to Obsolescence," Management Science, INFORMS, vol. 11(1), pages 51-63, September.
  4. Teunter, Ruud H. & Klein Haneveld, Willem K., 2002. "Inventory control of service parts in the final phase: A central depot and repair kits," European Journal of Operational Research, Elsevier, vol. 138(1), pages 76-86, April.
  5. Teunter, Ruud H. & Fortuin, Leonard, 1999. "End-of-life service," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 487-497, March.
  6. Anthony Hart, 1973. "Determination of Excess Stock Quantities," Management Science, INFORMS, vol. 19(12), pages 1444-1451, August.
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Cited by:
  1. Dekker, Rommert & Pinçe, Çerağ & Zuidwijk, Rob & Jalil, Muhammad Naiman, 2013. "On the use of installed base information for spare parts logistics: A review of ideas and industry practice," International Journal of Production Economics, Elsevier, vol. 143(2), pages 536-545.
  2. Teunter, Ruud H. & Syntetos, Aris A. & Zied Babai, M., 2011. "Intermittent demand: Linking forecasting to inventory obsolescence," European Journal of Operational Research, Elsevier, vol. 214(3), pages 606-615, November.


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