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A single-item lot-sizing problem with a by-product and inventory capacities

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  • Suzanne, Elodie
  • Absi, Nabil
  • Borodin, Valeria
  • van den Heuvel, Wilco

Abstract

The high pace of waste accumulation in landfills and the depletion of scarce natural resources lead us to seek pathways for converting unavoidable production outputs into useful and high added-value products. In this context, we formalize and propose a model for the single-item lot-sizing problem, which integrates the management of unavoidable production residues classified as by-products. During the production process of a main product, a by-product is generated, stored in a limited capacity and transported with a fixed transportation cost. This problem is investigated for two cases of the by-product inventory capacity: time-dependent and constant. We prove that the problem with inventory capacities is NP-Hard. To solve it optimally, we develop a pseudo-polynomial time dynamic programming algorithm. For the case with stationary inventory capacities, a polynomial time dynamic programming algorithm is proposed.

Suggested Citation

  • Suzanne, Elodie & Absi, Nabil & Borodin, Valeria & van den Heuvel, Wilco, 2020. "A single-item lot-sizing problem with a by-product and inventory capacities," European Journal of Operational Research, Elsevier, vol. 287(3), pages 844-855.
    • Handle: RePEc:eee:ejores:v:287:y:2020:i:3:p:844-855
    DOI: 10.1016/j.ejor.2020.05.017
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    2. Hezarkhani, Behzad & Demirel, Guven & Bouchery, Yann & Dora, Manoj, 2023. "Can “ugly veg” supply chains reduce food loss?," European Journal of Operational Research, Elsevier, vol. 309(1), pages 117-132.
    3. Meng, Mingyou & Deng, Shiming & Zhou, Pin & Xu, He, 2023. "The effects of subsidy programs in byproduct synergy operations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 175(C).

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