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The economic lot-sizing problem with remanufacturing and one-way substitution

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  • Piñeyro, Pedro
  • Viera, Omar

Abstract

We investigate a lot-sizing problem with different demand streams for new and remanufactured items, in which the demand for remanufactured items can be also satisfied by new products, but not vice versa. We provide a mathematical model for the problem and demonstrate it is NP-hard, even under particular cost structures. We also show the key role that remanufacturing plays in the problem resolution. With the aim of finding a near optimal solution of the problem, we develop and evaluate a Tabu-Search-based procedure. The numerical experiment carried out confirms the success of the procedure for different cases.

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  • 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.
    • Handle: RePEc:eee:proeco:v:124:y:2010:i:2:p:482-488
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    1. Ayres, Robert & Ferrer, Geraldo & Van Leynseele, Tania, 1997. "Eco-efficiency, asset recovery and remanufacturing," European Management Journal, Elsevier, vol. 15(5), pages 557-574, October.
    2. Z P Bayındır & N Erkip & R Güllü, 2005. "Assessing the benefits of remanufacturing option under one-way substitution," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(3), pages 286-296, March.
    3. Richter, Knut & Weber, Jens, 2001. "The reverse Wagner/Whitin model with variable manufacturing and remanufacturing cost," International Journal of Production Economics, Elsevier, vol. 71(1-3), pages 447-456, May.
    4. Willard I. Zangwill, 1968. "Minimum Concave Cost Flows in Certain Networks," Management Science, INFORMS, vol. 14(7), pages 429-450, March.
    5. Fred Glover, 1990. "Tabu Search: A Tutorial," Interfaces, INFORMS, vol. 20(4), pages 74-94, August.
    6. Teunter, R.H. & Bayindir, Z.P. & van den Heuvel, W., 2005. "Dynamic lot sizing with product returns," Econometric Institute Research Papers EI 2005-17, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    7. Harvey M. Wagner & Thomson M. Whitin, 1958. "Dynamic Version of the Economic Lot Size Model," Management Science, INFORMS, vol. 5(1), pages 89-96, October.
    8. Konstantaras, I. & Papachristos, S., 2007. "Optimal policy and holding cost stability regions in a periodic review inventory system with manufacturing and remanufacturing options," European Journal of Operational Research, Elsevier, vol. 178(2), pages 433-448, April.
    9. van den Heuvel, W., 2004. "On the complexity of the economic lot-sizing problem with remanufacturing options," Econometric Institute Research Papers EI 2004-46, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    10. Richter, Knut & Sombrutzki, Mirko, 2000. "Remanufacturing planning for the reverse Wagner/Whitin models," European Journal of Operational Research, Elsevier, vol. 121(2), pages 304-315, March.
    11. Inderfurth, Karl, 2004. "Optimal policies in hybrid manufacturing/remanufacturing systems with product substitution," International Journal of Production Economics, Elsevier, vol. 90(3), pages 325-343, August.
    12. Fleischmann, M., 2001. "Reverse Logistics Network Structures and Design," ERIM Report Series Research in Management ERS-2001-52-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    13. Awi Federgruen & Michal Tzur, 1991. "A Simple Forward Algorithm to Solve General Dynamic Lot Sizing Models with n Periods in 0(n log n) or 0(n) Time," Management Science, INFORMS, vol. 37(8), pages 909-925, August.
    14. Alok Aggarwal & James K. Park, 1993. "Improved Algorithms for Economic Lot Size Problems," Operations Research, INFORMS, vol. 41(3), pages 549-571, June.
    15. 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.
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    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. 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.
    4. Lin, Yizhong & Leung, Janny M.Y. & Zhang, Lianmin & Gu, Jia-Wen, 2020. "Single-item repairable inventory system with stochastic new and warranty demands," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 142(C).
    5. Ahmed Senoussi & Youcef Boutarfa & Nadjib Brahimi & Tarik Aouam, 2024. "Sustainable Hybrid Manufacturing and Refurbishing Systems with Substitution," Sustainability, MDPI, vol. 16(17), pages 1-33, August.
    6. Sifaleras, Angelo & Konstantaras, Ioannis & Mladenović, Nenad, 2015. "Variable neighborhood search for the economic lot sizing problem with product returns and recovery," International Journal of Production Economics, Elsevier, vol. 160(C), pages 133-143.
    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. Mahmutoğulları, Özlem & Yaman, Hande, 2023. "A Branch-and-Cut Algorithm for the Inventory Routing Problem with Product Substitution," Omega, Elsevier, vol. 115(C).
    9. Suliman, Saad M.A. & Jawad, Sayed Husain, 2012. "Optimization of preventive maintenance schedule and production lot size," International Journal of Production Economics, Elsevier, vol. 137(1), pages 19-28.
    10. 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.
    11. 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.
    12. 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.
    13. Shin, Hojung & Park, Soohoon & Lee, Euncheol & Benton, W.C., 2015. "A classification of the literature on the planning of substitutable products," European Journal of Operational Research, Elsevier, vol. 246(3), pages 686-699.
    14. Piñeyro, Pedro & Viera, Omar, 2014. "Note on “The economic lot-sizing problem with remanufacturing and one-way substitution”," International Journal of Production Economics, Elsevier, vol. 156(C), pages 167-168.
    15. Liao, Gwo-Liang & Sheu, Shey-Huei, 2011. "Economic production quantity model for randomly failing production process with minimal repair and imperfect maintenance," International Journal of Production Economics, Elsevier, vol. 130(1), pages 118-124, March.
    16. 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.

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