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Determining the Optimal Inventory and Number of Shipments for a Two-Resource Supply Chain with Correlated Demands and Remanufacturing Products Allowing Backorder

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  • Tseng-Fung Ho

    (Department of Industrial Engineering and Management, National Chin-Yi University of Technology, Taichung 41170, Taiwan)

  • Chi-Chung Lin

    (Department of Industrial Engineering and Management, National Chin-Yi University of Technology, Taichung 41170, Taiwan)

  • Chih-Ling Lin

    (Department of International Business, Central Taiwan University of Science and Technology, No.666, Buzih Road, Beitun District, Taichung 40601, Taiwan)

Abstract

This study develops an integrated supplier–remanufacturer and customer (downstream manufacturer) inventory model that takes into account three-echelon system with correlated demands and remanufacturing products allowing a backorder goods condition. This paper improves the observable fact that the first model system customer might select two sources from remanufactured products or supplier products without defective items. The second model further considers the defective items during the screening duration. The results are examined analytically and numerically to show that the policy of single shipment in large lot sizes results in less total cost than a frequent shipments policy. We also explore the impact of recovery rate on the economic benefits of the inventory system. In addition, we also perform sensitivity analysis to study the impact of seven important parameters (transportation cost, recovery rate, screening rate, annual demand, defect rate, and backorder rate, holding cost,) on the optimal solution. Management insights were also discussed.

Suggested Citation

  • Tseng-Fung Ho & Chi-Chung Lin & Chih-Ling Lin, 2020. "Determining the Optimal Inventory and Number of Shipments for a Two-Resource Supply Chain with Correlated Demands and Remanufacturing Products Allowing Backorder," Mathematics, MDPI, vol. 8(4), pages 1-16, April.
  • Handle: RePEc:gam:jmathe:v:8:y:2020:i:4:p:548-:d:342883
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    References listed on IDEAS

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    1. Yingjun Li & Zhixiang Chen, 2015. "Optimal integrated production-inventory system for imperfect quality items considering unequal shipment policy," International Journal of Industrial and Systems Engineering, Inderscience Enterprises Ltd, vol. 19(2), pages 206-238.
    2. Rina Tanaka & Aya Ishigaki & Tomomichi Suzuki & Masato Hamada & Wataru Kawai, 2019. "Data Analysis of Shipment for Textiles and Apparel from Logistics Warehouse to Store Considering Disposal Risk," Sustainability, MDPI, vol. 11(1), pages 1-14, January.
    3. Jaber, Mohamad Y. & Rosen, Marc A., 2008. "The economic order quantity repair and waste disposal model with entropy cost," European Journal of Operational Research, Elsevier, vol. 188(1), pages 109-120, July.
    4. Simme Douwe P. Flapper & Jo A.E.E. Nunen & Luk N. Wassenhove, 2005. "Future developments in managing closed-loop supply chains," Springer Books, in: Simme Douwe P. Flapper & Jo A.E.E. Nunen & Luk N. Wassenhove (ed.), Managing Closed-Loop Supply Chains, chapter 18, pages 197-206, Springer.
    5. Kim, Seung-Lae & Ha, Daesung, 2003. "A JIT lot-splitting model for supply chain management: Enhancing buyer-supplier linkage," International Journal of Production Economics, Elsevier, vol. 86(1), pages 1-10, October.
    6. 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.
    7. Chi-Chung Lin & Chun-Wei Lin, 2011. "Defective item inventory model with remanufacturing or replenishing in an integrated supply chain," International Journal of Integrated Supply Management, Inderscience Enterprises Ltd, vol. 6(3/4), pages 254-269.
    8. Mitra, Subrata, 2009. "Analysis of a two-echelon inventory system with returns," Omega, Elsevier, vol. 37(1), pages 106-115, February.
    9. Salameh, M. K. & Jaber, M. Y., 2000. "Economic production quantity model for items with imperfect quality," International Journal of Production Economics, Elsevier, vol. 64(1-3), pages 59-64, March.
    10. Maddah, Bacel & Jaber, Mohamad Y., 2008. "Economic order quantity for items with imperfect quality: Revisited," International Journal of Production Economics, Elsevier, vol. 112(2), pages 808-815, April.
    11. 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.
    12. Jaber, Mohamad Y. & El Saadany, Ahmed M.A., 2011. "An economic production and remanufacturing model with learning effects," International Journal of Production Economics, Elsevier, vol. 131(1), pages 115-127, May.
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    1. K. Jeganathan & S. Selvakumar & S. Saravanan & N. Anbazhagan & S. Amutha & Woong Cho & Gyanendra Prasad Joshi & Joohan Ryoo, 2022. "Performance of Stochastic Inventory System with a Fresh Item, Returned Item, Refurbished Item, and Multi-Class Customers," Mathematics, MDPI, vol. 10(7), pages 1-37, April.

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