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Two-echelon stochastic inventory system with returns and partial backlogging

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  • Hsien-Jen Lin

Abstract

This paper investigates a two-echelon stochastic inventory system with returns and partial backlogging; our proposed model, which is realistic for practical situations, might be applicable in many manufacturing planning situations. The objective is to find a continuous-review inventory control policy that minimises the total expected annual cost of the system. A computer code using the software Mathematica 5.2 is developed to derive the optimal solution. Additionally, we discuss the sensitivity of the optimal solution together with the changes of the values of the parameters associated with the model for decision-making. The results are illustrated with the help of four numerical examples.

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  • Hsien-Jen Lin, 2015. "Two-echelon stochastic inventory system with returns and partial backlogging," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(6), pages 966-975, April.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:6:p:966-975
    DOI: 10.1080/00207721.2013.803633
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    1. Axsater, Sven & Zhang, Wen-Fa, 1999. "A joint replenishment policy for multi-echelon inventory control," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 243-250, March.
    2. 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.
    3. 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.
    4. Jonas Yu & Yu-Siang Lin & Kung-Jeng Wang, 2013. "Coordination-based inventory management for deteriorating items in a two-echelon supply chain with profit sharing," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(9), pages 1587-1601.
    5. David A. Schrady, 1967. "A deterministic inventory model for reparable items," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 14(3), pages 391-398.
    6. Wallace B. Crowston & Michael Wagner & Jack F. Williams, 1973. "Economic Lot Size Determination in Multi-Stage Assembly Systems," Management Science, INFORMS, vol. 19(5), pages 517-527, January.
    7. de Brito, M.P. & Flapper, S.D.P. & Dekker, R., 2002. "Reverse logistics," Econometric Institute Research Papers EI 2002-21, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    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. Daniel P. Heyman, 1978. "Return policies for an inventory system with positive and negative demands," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 25(4), pages 581-596, December.
    10. 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.
    11. Daniel P. Heyman, 1977. "Optimal disposal policies for a single‐item inventory system with returns," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 24(3), pages 385-405, September.
    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. John A. Muckstadt & Michael H. Isaac, 1981. "An analysis of single item inventory systems with returns," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 28(2), pages 237-254, June.
    14. Mitra, Subrata, 2009. "Analysis of a two-echelon inventory system with returns," Omega, Elsevier, vol. 37(1), pages 106-115, February.
    15. Fangruo Chen & Yu-Sheng Zheng, 1994. "Evaluating Echelon Stock (R, nQ) Policies in Serial Production/Inventory Systems with Stochastic Demand," Management Science, INFORMS, vol. 40(10), pages 1262-1275, October.
    16. Fangruo Chen, 2000. "Optimal Policies for Multi-Echelon Inventory Problems with Batch Ordering," Operations Research, INFORMS, vol. 48(3), pages 376-389, June.
    17. Ruud H. Teunter, 2001. "Economic ordering quantities for recoverable item inventory systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 48(6), pages 484-495, September.
    18. Lin, Chinho & Lin, Yihsu, 2007. "A cooperative inventory policy with deteriorating items for a two-echelon model," European Journal of Operational Research, Elsevier, vol. 178(1), pages 92-111, April.
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