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Capacitated dynamic lot sizing problems in closed-loop supply chain

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  • Pan, Zhendong
  • Tang, Jiafu
  • Liu, Ou
Abstract
In this paper, we address the capacitated dynamic lot sizing problem arising in closed-loop supply chain where returned products are collected from customers. These returned products can either be disposed or be remanufactured to be sold as new ones again; hence the market demands can be satisfied by either newly produced products or remanufactured ones. The capacities of production, disposal and remanufacturing are limited, and backlogging is not allowed. A general model of this problem is formulated, and several useful properties of the problem are characterized when cost functions are concave. Moreover, this problem is analyzed and solved to optimality using dynamic programming algorithms under different scenarios. It is shown that the problem with only disposal or remanufacturing can be converted into a traditional capacitated lot sizing problem and be solved by a polynomial algorithm if the capacities are constant. A pseudo-polynomial algorithm is proposed for the problem with both capacitated disposal and remanufacturing. The problem with capacitated production and remanufacturing and the problem with uncapacitated production and capacitated remanufacturing are also analyzed and solved. Through numerical experiments we show that the proposed algorithms perform well when solving problems of practical sizes. From the experimental results also indicates that it is worthwhile to expand the remanufacturing capacity only when returned products exist in a relatively long planning horizon, and production capacities have little effect on the remanufacturing plan when the demand is mainly satisfied by the production.

Suggested Citation

  • Pan, Zhendong & Tang, Jiafu & Liu, Ou, 2009. "Capacitated dynamic lot sizing problems in closed-loop supply chain," European Journal of Operational Research, Elsevier, vol. 198(3), pages 810-821, November.
    • Handle: RePEc:eee:ejores:v:198:y:2009:i:3:p:810-821
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    References listed on IDEAS

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    Cited by:

    1. He, Yuanjie, 2015. "Acquisition pricing and remanufacturing decisions in a closed-loop supply chain," International Journal of Production Economics, Elsevier, vol. 163(C), pages 48-60.
    2. Timo Hilger & Florian Sahling & Horst Tempelmeier, 2016. "Capacitated dynamic production and remanufacturing planning under demand and return uncertainty," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(4), pages 849-876, October.
    3. Kilic, Onur A. & Tunc, Huseyin & Tarim, S. Armagan, 2018. "Heuristic policies for the stochastic economic lot sizing problem with remanufacturing under service level constraints," European Journal of Operational Research, Elsevier, vol. 267(3), pages 1102-1109.
    4. Attila, Öykü Naz & Agra, Agostinho & Akartunalı, Kerem & Arulselvan, Ashwin, 2021. "Robust formulations for economic lot-sizing problem with remanufacturing," European Journal of Operational Research, Elsevier, vol. 288(2), pages 496-510.
    5. Mathijn Retel Helmrich & Raf Jans & Wilco van den Heuvel & Albert Wagelmans, 2014. "Economic lot-sizing with remanufacturing: complexity and efficient formulations," IISE Transactions, Taylor & Francis Journals, vol. 46(1), pages 67-86.
    6. 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.
    7. Brahimi, Nadjib & Absi, Nabil & Dauzère-Pérès, Stéphane & Nordli, Atle, 2017. "Single-item dynamic lot-sizing problems: An updated survey," European Journal of Operational Research, Elsevier, vol. 263(3), pages 838-863.
    8. Steffen Rickers & Florian Sahling, 2024. "Integrated procurement and reprocessing planning for reusable medical devices with a limited shelf life," Health Care Management Science, Springer, vol. 27(2), pages 168-187, June.
    9. Rowshannahad, Mehdi & Absi, Nabil & Dauzère-Pérès, Stéphane & Cassini, Bernard, 2018. "Multi-item bi-level supply chain planning with multiple remanufacturing of reusable by-products," International Journal of Production Economics, Elsevier, vol. 198(C), pages 25-37.
    10. He, Yuanjie, 2017. "Supply risk sharing in a closed-loop supply chain," International Journal of Production Economics, Elsevier, vol. 183(PA), pages 39-52.
    11. Jing, Fuying & Chao, Xiangrui, 2022. "Forecast horizons for a two-echelon dynamic lot-sizing problem," Omega, Elsevier, vol. 110(C).
    12. Andreas Goerler & Stefan Voß, 2016. "Dynamic lot-sizing with rework of defective items and minimum lot-size constraints," International Journal of Production Research, Taylor & Francis Journals, vol. 54(8), pages 2284-2297, April.
    13. Zhang, Zhi-Hai & Jiang, Hai & Pan, Xunzhang, 2012. "A Lagrangian relaxation based approach for the capacitated lot sizing problem in closed-loop supply chain," International Journal of Production Economics, Elsevier, vol. 140(1), pages 249-255.
    14. Chang Fang & Xinbao Liu & Panos M. Pardalos & Jianyu Long & Jun Pei & Chao Zuo, 2017. "A stochastic production planning problem in hybrid manufacturing and remanufacturing systems with resource capacity planning," Journal of Global Optimization, Springer, vol. 68(4), pages 851-878, August.
    15. Suzanne, Elodie & Absi, Nabil & Borodin, Valeria, 2020. "Towards circular economy in production planning: Challenges and opportunities," European Journal of Operational Research, Elsevier, vol. 287(1), pages 168-190.
    16. Malolan Sundararaman & Mathirajan Muthu, 2020. "Component remanufacturing: a new prospective profitable business approach for the Indian automobile sector," OPSEARCH, Springer;Operational Research Society of India, vol. 57(4), pages 1244-1280, December.
    17. 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.
    18. Absi, Nabil & Dauzère-Pérès, Stéphane & Kedad-Sidhoum, Safia & Penz, Bernard & Rapine, Christophe, 2013. "Lot sizing with carbon emission constraints," European Journal of Operational Research, Elsevier, vol. 227(1), pages 55-61.
    19. Syed Ali, Sharifah Aishah & Doostmohammadi, Mahdi & Akartunalı, Kerem & van der Meer, Robert, 2018. "A theoretical and computational analysis of lot-sizing in remanufacturing with separate setups," International Journal of Production Economics, Elsevier, vol. 203(C), pages 276-285.
    20. 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.
    21. Piñeyro, Pedro & Viera, Omar, 2010. "The economic lot-sizing problem with remanufacturing and one-way substitution," International Journal of Production Economics, Elsevier, vol. 124(2), pages 482-488, April.

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