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Analysis of a two-echelon inventory system with returns

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  • Mitra, Subrata

Abstract

Product take-back and recovery activities have grown in recent times as a consequence of stringent government regulations and increased customer awareness of environmental pollution. Inventory management in the context of product returns has drawn the attention of many researchers. However, the inherent complexity of the system with uncertain returns makes the analysis of the system extremely difficult. So far, the literature on this type of system is mostly limited to single echelons. The few papers available in literature on multi-echelon systems with returns base their analyses on simplified assumptions such as non-existence or non-relevance of set-up and holding costs at different levels. In this paper, we relax these assumptions and consider a two-echelon system with returns under more generalized conditions. We develop a deterministic model as well as a stochastic model under continuous review for the system, and provide numerical examples for illustration.

Suggested Citation

  • Mitra, Subrata, 2009. "Analysis of a two-echelon inventory system with returns," Omega, Elsevier, vol. 37(1), pages 106-115, February.
  • Handle: RePEc:eee:jomega:v:37:y:2009:i:1:p:106-115
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    References listed on IDEAS

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    1. L. Beril Toktay & Lawrence M. Wein & Stefanos A. Zenios, 2000. "Inventory Management of Remanufacturable Products," Management Science, INFORMS, vol. 46(11), pages 1412-1426, November.
    2. Ranga V. Ramasesh & J. Keith Ord & Jack C. Hayya & Andrew Pan, 1991. "Sole Versus Dual Sourcing in Stochastic Lead-Time (s, Q) Inventory Models," Management Science, INFORMS, vol. 37(4), pages 428-443, April.
    3. V. Daniel R. Guide & Terry P. Harrison & Luk N. Van Wassenhove, 2003. "The Challenge of Closed-Loop Supply Chains," Interfaces, INFORMS, vol. 33(6), pages 3-6, December.
    4. Marc A. De Bodt & Stephen C. Graves, 1985. "Continuous-Review Policies for a Multi-Echelon Inventory Problem with Stochastic Demand," Management Science, INFORMS, vol. 31(10), pages 1286-1299, October.
    5. Teunter, Ruud H. & van der Laan, Erwin & Inderfurth, Karl, 2000. "How to set the holding cost rates in average cost inventory models with reverse logistics?," Omega, Elsevier, vol. 28(4), pages 409-415, August.
    6. Minner, Stefan, 2003. "Multiple-supplier inventory models in supply chain management: A review," International Journal of Production Economics, Elsevier, vol. 81(1), pages 265-279, January.
    7. Kelle, Peter & Miller, Pam Anders, 2001. "Stockout risk and order splitting," International Journal of Production Economics, Elsevier, vol. 71(1-3), pages 407-415, May.
    8. V. Daniel R. Guide & Vaidyanathan Jayaraman & Rajesh Srivastava & W. C. Benton, 2000. "Supply-Chain Management for Recoverable Manufacturing Systems," Interfaces, INFORMS, vol. 30(3), pages 125-142, June.
    9. Jinfa Chen & David D. Yao & Shaohui Zheng, 2001. "Optimal Replenishment and Rework with Multiple Unreliable Supply Sources," Operations Research, INFORMS, vol. 49(3), pages 430-443, June.
    10. Minner, Stefan, 2001. "Strategic safety stocks in reverse logistics supply chains," International Journal of Production Economics, Elsevier, vol. 71(1-3), pages 417-428, May.
    11. Mitra, Subrata & Chatterjee, A. K., 2004. "Echelon stock based continuous review (R,Q) policy for fast moving items," Omega, Elsevier, vol. 32(2), pages 161-166, April.
    12. Fleischmann, Moritz & Bloemhof-Ruwaard, Jacqueline M. & Dekker, Rommert & van der Laan, Erwin & van Nunen, Jo A. E. E. & Van Wassenhove, Luk N., 1997. "Quantitative models for reverse logistics: A review," European Journal of Operational Research, Elsevier, vol. 103(1), pages 1-17, November.
    13. Sedarage, Dayani & Fujiwara, Okitsugu & Trung Luong, Huynh, 1999. "Determining optimal order splitting and reorder level for N-supplier inventory systems," European Journal of Operational Research, Elsevier, vol. 116(2), pages 389-404, July.
    14. Fleischmann, Moritz & Kuik, Roelof, 2003. "On optimal inventory control with independent stochastic item returns," European Journal of Operational Research, Elsevier, vol. 151(1), pages 25-37, November.
    15. Mahadevan, B. & Pyke, David F. & Fleischmann, Moritz, 2003. "Periodic review, push inventory policies for remanufacturing," European Journal of Operational Research, Elsevier, vol. 151(3), pages 536-551, December.
    16. Fong, Duncan K. H. & Gempesaw, Virginia M. & Keith Ord, J., 2000. "Analysis of a dual sourcing inventory model with normal unit demand and Erlang mixture lead times," European Journal of Operational Research, Elsevier, vol. 120(1), pages 97-107, January.
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