IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v116y2008i1p28-42.html
   My bibliography  Save this article

A joint inventory model for an open-loop reverse supply chain

Author

Listed:
  • Gou, Qinglong
  • Liang, Liang
  • Huang, Zhimin
  • Xu, Chuanyong

Abstract

This research focuses on an open-loop reverse supply chain, which includes a single centralized returns center (CRC) and multiple local collection points (LCPs). Each LCP receives a stream of returned products from consumers and once its inventory reaches its economic inventory level, these products are immediately delivered to the CRC. The CRC begins to handle those returned products when its inventory reaches its economic batch size. Special attention is placed on the joint inventory control and product return handling policies. The purpose of this study is to find the optimal economic delivery batch size for the LCPs as well as the optimal handling batch size for the CRC in order to minimize the long-run average cost for the open-loop reverse supply chain. An algorithm to find an optimal policy of delivery batch size for LCPs and handling batch size for CRC is developed. We present detailed discussions on how the optimal policy of delivery as well as the handling batch sizes changes with respect to changes in system parameters. We show that the formulas for optimal policies of delivery and handling batch sizes are modifications of the EOQ model. Simulation results illustrate that our model development is suitable for more general situations.

Suggested Citation

  • Gou, Qinglong & Liang, Liang & Huang, Zhimin & Xu, Chuanyong, 2008. "A joint inventory model for an open-loop reverse supply chain," International Journal of Production Economics, Elsevier, vol. 116(1), pages 28-42, November.
  • Handle: RePEc:eee:proeco:v:116:y:2008:i:1:p:28-42
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925-5273(08)00219-3
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Leroy B. Schwarz, 1973. "A Simple Continuous Review Deterministic One-Warehouse N-Retailer Inventory Problem," Management Science, INFORMS, vol. 19(5), pages 555-566, January.
    2. James P. Monahan, 1984. "A Quantity Discount Pricing Model to Increase Vendor Profits," Management Science, INFORMS, vol. 30(6), pages 720-726, June.
    3. V. Daniel R. Guide , Jr. & Gilvan C. Souza & Luk N. Van Wassenhove & Joseph D. Blackburn, 2006. "Time Value of Commercial Product Returns," Management Science, INFORMS, vol. 52(8), pages 1200-1214, August.
    4. van der Laan, Erwin & Dekker, Rommert & Salomon, Marc & Ridder, Ad, 1996. "An (s, Q) inventory model with remanufacturing and disposal," International Journal of Production Economics, Elsevier, vol. 46(1), pages 339-350, December.
    5. Richter, Knut, 1996. "The extended EOQ repair and waste disposal model," International Journal of Production Economics, Elsevier, vol. 45(1-3), pages 443-447, August.
    6. Hau L. Lee & Meir J. Rosenblatt, 1986. "A Generalized Quantity Discount Pricing Model to Increase Supplier's Profits," Management Science, INFORMS, vol. 32(9), pages 1177-1185, September.
    7. Huang, Zhimin & Li, Susan X., 2001. "Co-op advertising models in manufacturer-retailer supply chains: A game theory approach," European Journal of Operational Research, Elsevier, vol. 135(3), pages 527-544, December.
    8. Richter, Knut, 1996. "The EOQ repair and waste disposal model with variable setup numbers," European Journal of Operational Research, Elsevier, vol. 95(2), pages 313-324, December.
    9. Gregory A. DeCroix & Paul H. Zipkin, 2005. "Inventory Management for an Assembly System with Product or Component Returns," Management Science, INFORMS, vol. 51(8), pages 1250-1265, August.
    10. Mabini, Marilyn C. & Pintelon, Liliane M. & Gelders, Ludo F., 1992. "EOQ type formulations for controlling repairable inventories," International Journal of Production Economics, Elsevier, vol. 28(1), pages 21-33, November.
    11. 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.
    12. Devavrat Purohit, 1992. "Exploring the Relationship Between the Markets for New and Used Durable Goods: The Case of Automobiles," Marketing Science, INFORMS, vol. 11(2), pages 154-167.
    13. Goyal, S. K., 2000. "On improving the single-vendor single-buyer integrated production inventory model with a generalized policy," European Journal of Operational Research, Elsevier, vol. 125(2), pages 429-430, September.
    14. Kiesmuller, Gudrun P. & Scherer, Carsten W., 2003. "Computational issues in a stochastic finite horizon one product recovery inventory model," European Journal of Operational Research, Elsevier, vol. 146(3), pages 553-579, May.
    15. 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.
    16. 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.
    17. Cho, Danny I. & Parlar, Mahmut, 1991. "A survey of maintenance models for multi-unit systems," European Journal of Operational Research, Elsevier, vol. 51(1), pages 1-23, March.
    18. Hill, Roger M., 1997. "The single-vendor single-buyer integrated production-inventory model with a generalised policy," European Journal of Operational Research, Elsevier, vol. 97(3), pages 493-499, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Komeil Zamanloo & Saeed Mansour, 2024. "A multi-objective mathematical model for three-dimensional concurrent engineering with a sustainable approach: a case study in Iran," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 26(10), pages 25945-25993, October.
    2. Nasir, Mohammed Haneef Abdul & Genovese, Andrea & Acquaye, Adolf A. & Koh, S.C.L. & Yamoah, Fred, 2017. "Comparing linear and circular supply chains: A case study from the construction industry," International Journal of Production Economics, Elsevier, vol. 183(PB), pages 443-457.
    3. Govindan, Kannan & Soleimani, Hamed & Kannan, Devika, 2015. "Reverse logistics and closed-loop supply chain: A comprehensive review to explore the future," European Journal of Operational Research, Elsevier, vol. 240(3), pages 603-626.
    4. Tosarkani, Babak Mohamadpour & Amin, Saman Hassanzadeh & Zolfagharinia, Hossein, 2020. "A scenario-based robust possibilistic model for a multi-objective electronic reverse logistics network," International Journal of Production Economics, Elsevier, vol. 224(C).
    5. Godichaud, Matthieu & Amodeo, Lionel, 2018. "Economic order quantity for multistage disassembly systems," International Journal of Production Economics, Elsevier, vol. 199(C), pages 16-25.
    6. Sabharwal, Srishti & Garg, Suresh, 2013. "Determining cost effectiveness index of remanufacturing: A graph theoretic approach," International Journal of Production Economics, Elsevier, vol. 144(2), pages 521-532.
    7. Mokhtari, Hadi, 2018. "Economic order quantity for joint complementary and substitutable items," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 154(C), pages 34-47.
    8. Saromi Newton & Sahayaselvi Susainathan & Hesil Jerda George & Majdi Quttainah & Satyanarayana Parayitam, 2024. "Top Management Commitment as a Moderator in the Relationship Between Green Banking Adoption Practices and Performance: Evidence from India," Indian Journal of Corporate Governance, , vol. 17(1), pages 33-62, June.
    9. Coelho, Leandro C. & Laporte, Gilbert, 2014. "Improved solutions for inventory-routing problems through valid inequalities and input ordering," International Journal of Production Economics, Elsevier, vol. 155(C), pages 391-397.
    10. Raymond Houé Ngouna & Bernard Grabot, 2009. "Assessing the compliance of a product with an eco-label: from standards to constraints," Post-Print hal-00965906, HAL.
    11. Parsa, Hossein & Jin, Mingzhou, 2013. "An improved approximation for the renewal function and its integral with an application in two-echelon inventory management," International Journal of Production Economics, Elsevier, vol. 146(1), pages 142-152.
    12. Hariga, Moncer & As’ad, Rami & Khan, Zeinab, 2017. "Manufacturing-remanufacturing policies for a centralized two stage supply chain under consignment stock partnership," International Journal of Production Economics, Elsevier, vol. 183(PB), pages 362-374.
    13. Houe, Raymond & Grabot, Bernard, 2009. "Assessing the compliance of a product with an eco-label: From standards to constraints," International Journal of Production Economics, Elsevier, vol. 121(1), pages 21-38, September.
    14. Dobos, Imre & Gobsch, Barbara & Pakhomova, Nadezhda & Pishchulov, Grigory & Richter, Knut, 2011. "A vendor-purchaser economic lot size problem with remanufacturing and deposit," Discussion Papers 304, European University Viadrina Frankfurt (Oder), Department of Business Administration and Economics.
    15. Gunasekaran, Angappa & Spalanzani, Alain, 2012. "Sustainability of manufacturing and services: Investigations for research and applications," International Journal of Production Economics, Elsevier, vol. 140(1), pages 35-47.
    16. Jonrinaldi, & Zhang, D.Z., 2013. "An integrated production and inventory model for a whole manufacturing supply chain involving reverse logistics with finite horizon period," Omega, Elsevier, vol. 41(3), pages 598-620.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Gregory A. DeCroix, 2006. "Optimal Policy for a Multiechelon Inventory System with Remanufacturing," Operations Research, INFORMS, vol. 54(3), pages 532-543, June.
    3. Choi, Dae-Won & Hwang, Hark & Koh, Shie-Gheun, 2007. "A generalized ordering and recovery policy for reusable items," European Journal of Operational Research, Elsevier, vol. 182(2), pages 764-774, October.
    4. John Khawam & Warren H. Hausman & Dinah W. Cheng, 2007. "Warranty Inventory Optimization for Hitachi Global Storage Technologies, Inc," Interfaces, INFORMS, vol. 37(5), pages 455-471, October.
    5. Kim, Eungab & Saghafian, Soroush & Van Oyen, Mark P., 2013. "Joint control of production, remanufacturing, and disposal activities in a hybrid manufacturing–remanufacturing system," European Journal of Operational Research, Elsevier, vol. 231(2), pages 337-348.
    6. Melis Teksan, Z. & Geunes, Joseph, 2016. "An EOQ model with price-dependent supply and demand," International Journal of Production Economics, Elsevier, vol. 178(C), pages 22-33.
    7. Felix T.S. Chan & Nan Li & S.H. Chung & Mozafar Saadat, 2017. "Management of sustainable manufacturing systems-a review on mathematical problems," International Journal of Production Research, Taylor & Francis Journals, vol. 55(4), pages 1210-1225, February.
    8. El Saadany, Ahmed M.A. & Jaber, Mohamad Y., 2011. "A production/remanufacture model with returns' subassemblies managed differently," International Journal of Production Economics, Elsevier, vol. 133(1), pages 119-126, September.
    9. Vercraene, Samuel & Gayon, Jean-Philippe, 2013. "Optimal control of a production-inventory system with productreturns," International Journal of Production Economics, Elsevier, vol. 142(2), pages 302-310.
    10. Sucky, Eric, 2006. "A bargaining model with asymmetric information for a single supplier-single buyer problem," European Journal of Operational Research, Elsevier, vol. 171(2), pages 516-535, June.
    11. Jaber, Mohamad Y. & El Saadany, Ahmed M.A., 2009. "The production, remanufacture and waste disposal model with lost sales," International Journal of Production Economics, Elsevier, vol. 120(1), pages 115-124, July.
    12. 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.
    13. Zhou, Li & Xie, Jiaping & Gu, Xiaoyu & Lin, Yong & Ieromonachou, Petros & Zhang, Xiaole, 2016. "Forecasting return of used products for remanufacturing using Graphical Evaluation and Review Technique (GERT)," International Journal of Production Economics, Elsevier, vol. 181(PB), pages 315-324.
    14. Sucky, Eric, 2005. "Inventory management in supply chains: A bargaining problem," International Journal of Production Economics, Elsevier, vol. 93(1), pages 253-262, January.
    15. Omar, Mohd & Yeo, Ivan, 2009. "A model for a production-repair system under a time-varying demand process," International Journal of Production Economics, Elsevier, vol. 119(1), pages 17-23, May.
    16. El Saadany, Ahmed M.A. & Jaber, Mohamad Y. & Bonney, Maurice, 2013. "How many times to remanufacture?," International Journal of Production Economics, Elsevier, vol. 143(2), pages 598-604.
    17. Mostafa Parsa & Ali Shahandeh Nookabadi & Zümbül Atan & Yaser Malekian, 2022. "An optimal inventory policy for a multi-echelon closed-loop supply chain of postconsumer recycled content products," Operational Research, Springer, vol. 22(3), pages 1887-1938, July.
    18. Sumit Maheshwari & Amrina Kausar & Ahmad Hasan & Chandra K. Jaggi, 2023. "Sustainable inventory model for a three-layer supply chain using optimal waste management," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 14(1), pages 216-235, March.
    19. Tripathy, Satchidananda & Kumar, Akhilesh & Mahanty, Biswajit, 2023. "Short-lived product returns forecasting when customers are unwilling to return the product: A grey-graphical evaluation and review technique," Technological Forecasting and Social Change, Elsevier, vol. 195(C).
    20. Kozlovskaya, Nadezhda & Pakhomova, Nadezhda & Richter, Knut, 2016. "A general production and recovery EOQ model with stationary demand and return rates," Discussion Papers 378, European University Viadrina Frankfurt (Oder), Department of Business Administration and Economics.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:proeco:v:116:y:2008:i:1:p:28-42. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ijpe .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.