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A concave‐cost production planning problem with remanufacturing options

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  • Jian Yang
  • Boaz Golany
  • Gang Yu

Abstract

We focus on the concave‐cost version of a production planning problem where a manufacturer can meet demand by either producing new items or by remanufacturing used items. Unprocessed used items are disposed. We show the NP‐hardness of the problem even when all the costs are stationary. Utilizing the special structure of the extreme‐point optimal solutions for the minimum concave‐cost problem with a network flow type feasible region, we develop a polynomial‐time heuristic for the problem. Our computational study indicates that the heuristic is a very efficient way to solve the problem as far as solution speed and quality are concerned. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005

Suggested Citation

  • Jian Yang & Boaz Golany & Gang Yu, 2005. "A concave‐cost production planning problem with remanufacturing options," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(5), pages 443-458, August.
  • Handle: RePEc:wly:navres:v:52:y:2005:i:5:p:443-458
    DOI: 10.1002/nav.20089
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    1. 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.
    2. 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.
    3. 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.
    4. I. Karakayali & E. Akçalı & S. Çetinkaya & H. Üster, 2013. "Capacitated replenishment and disposal planning for multiple products with resalable returns," Annals of Operations Research, Springer, vol. 203(1), pages 325-350, March.
    5. 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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