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Simple expressions for finding recovery system inventory control parameter values

Author

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  • G P Kiesmüller

    (Technische Universiteit Eindhoven)

  • S Minner

    (Faculty of Economics and Management, Otto-von-Guericke-University Magdeburg)

Abstract

In recent years considerable effort has been devoted to the development of inventory control models for joint manufacturing and remanufacturing. Optimality of control policies is analyzed and algorithms for the determination of parameter values have been developed. However, there is still a lack of formulae or algorithms that allow for an easy computation of optimal or near optimal policy parameter values. This paper addresses the problem of computing the produce-up-to level S and the remanufacture-up-to level M in a periodic review inventory control model. We provide simple formulae for the policy parameter values, which can easily be implemented within spreadsheet applications. The approach is to derive news-vendor-type formulae that are based on underage and overage cost considerations. We propose different formulae depending on whether lead times for production and remanufacturing are identical or not. A numerical study shows that the obtained solutions provide relatively small cost deviations compared to the optimal solution within the investigated class of inventory control policies.

Suggested Citation

  • G P Kiesmüller & S Minner, 2003. "Simple expressions for finding recovery system inventory control parameter values," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(1), pages 83-88, January.
    • Handle: RePEc:pal:jorsoc:v:54:y:2003:i:1:d:10.1057_palgrave.jors.2601480
    DOI: 10.1057/palgrave.jors.2601480
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    References listed on IDEAS

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    1. Khouja, Moutaz, 1999. "The single-period (news-vendor) problem: literature review and suggestions for future research," Omega, Elsevier, vol. 27(5), pages 537-553, October.
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    4. Teunter, Ruud H. & Vlachos, Dimitrios, 2002. "On the necessity of a disposal option for returned items that can be remanufactured," International Journal of Production Economics, Elsevier, vol. 75(3), pages 257-266, February.
    5. Vincent P. Simpson, 1978. "Optimum Solution Structure for a Repairable Inventory Problem," Operations Research, INFORMS, vol. 26(2), pages 270-281, April.
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    Cited by:

    1. Sean X. Zhou & Zhijie Tao & Xiuli Chao, 2011. "Optimal Control of Inventory Systems with Multiple Types of Remanufacturable Products," Manufacturing & Service Operations Management, INFORMS, vol. 13(1), pages 20-34, March.
    2. Li, Jianzhi & González, Miguel & Zhu, Yun, 2009. "A hybrid simulation optimization method for production planning of dedicated remanufacturing," International Journal of Production Economics, Elsevier, vol. 117(2), pages 286-301, February.
    3. Gregory A. DeCroix & Jing-Sheng Song & Paul H. Zipkin, 2009. "Managing an Assemble-to-Order System with Returns," Manufacturing & Service Operations Management, INFORMS, vol. 11(1), pages 144-159, October.
    4. Sebnem Ahiska, S. & King, Russell E., 2010. "Inventory optimization in a one product recoverable manufacturing system," International Journal of Production Economics, Elsevier, vol. 124(1), pages 11-19, March.
    5. Gregory A. DeCroix, 2006. "Optimal Policy for a Multiechelon Inventory System with Remanufacturing," Operations Research, INFORMS, vol. 54(3), pages 532-543, June.
    6. R Teunter & E van der Laan & D Vlachos, 2004. "Inventory strategies for systems with fast remanufacturing," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(5), pages 475-484, May.
    7. van der Laan, Erwin A. & Teunter, Ruud H., 2006. "Simple heuristics for push and pull remanufacturing policies," European Journal of Operational Research, Elsevier, vol. 175(2), pages 1084-1102, December.
    8. Moritz Fleischmann & Jo A. E. E. van Nunen & Ben Gräve, 2003. "Integrating Closed-Loop Supply Chains and Spare-Parts Management at IBM," Interfaces, INFORMS, vol. 33(6), pages 44-56, December.
    9. Silbermayr, Lena & Minner, Stefan, 2014. "A multiple sourcing inventory model under disruption risk," International Journal of Production Economics, Elsevier, vol. 149(C), pages 37-46.
    10. 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.
    11. Zolfagharinia, Hossein & Hafezi, Maryam & Farahani, Reza Zanjirani & Fahimnia, Behnam, 2014. "A hybrid two-stock inventory control model for a reverse supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 67(C), pages 141-161.
    12. Corbacıoğlu, U. & van der Laan, E.A., 2005. "Setting the holding cost rates in a multi-product system with remanufacturing," ERIM Report Series Research in Management ERS-2005-072-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    13. Poles, Roberto, 2013. "System Dynamics modelling of a production and inventory system for remanufacturing to evaluate system improvement strategies," International Journal of Production Economics, Elsevier, vol. 144(1), pages 189-199.
    14. Corbacioglu, Umut & van der Laan, Erwin A., 2007. "Setting the holding cost rates in a two-product system with remanufacturing," International Journal of Production Economics, Elsevier, vol. 109(1-2), pages 185-194, September.
    15. Ahiska, S. Sebnem & King, Russell E., 2010. "Life cycle inventory policy characterizations for a single-product recoverable system," International Journal of Production Economics, Elsevier, vol. 124(1), pages 51-61, March.
    16. Behfard, S. & Al Hanbali, A. & van der Heijden, M.C. & Zijm, W.H.M., 2018. "Last Time Buy and repair decisions for fast moving parts," International Journal of Production Economics, Elsevier, vol. 197(C), pages 158-173.

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