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An efficient Lagrangian-based heuristic to solve a multi-objective sustainable supply chain problem

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  • Tautenhain, Camila P.S.
  • Barbosa-Povoa, Ana Paula
  • Mota, Bruna
  • Nascimento, Mariá C.V.

Abstract

Sustainable Supply Chain (SSC) management aims at integrating economic, environmental and social goals to assist in the long-term planning of a company and its supply chains. There is no consensus in the literature as to whether social and environmental responsibilities are profit-compatible. However, the conflicting nature of these goals is explicit when considering specific assessment measures and, in this scenario, multi-objective optimization is a way to represent problems that simultaneously optimize the goals. This paper proposes a Lagrangian matheuristic method, called AugMathLagr, to solve a hard and relevant multi-objective problem found in the literature. AugMathLagr was extensively tested using artificial instances defined by a generator presented in this paper. The results show a competitive performance of AugMathLagr when compared with an exact multi-objective method limited by time and a matheuristic recently proposed in the literature and adapted here to address the studied problem. In addition, computational results on a case study are presented and analyzed, and demonstrate the outstanding performance of AugMathLagr.

Suggested Citation

  • Tautenhain, Camila P.S. & Barbosa-Povoa, Ana Paula & Mota, Bruna & Nascimento, Mariá C.V., 2021. "An efficient Lagrangian-based heuristic to solve a multi-objective sustainable supply chain problem," European Journal of Operational Research, Elsevier, vol. 294(1), pages 70-90.
    • Handle: RePEc:eee:ejores:v:294:y:2021:i:1:p:70-90
    DOI: 10.1016/j.ejor.2021.01.008
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    References listed on IDEAS

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    2. Wolff, Michael & Becker, Tristan & Walther, Grit, 2023. "Long-term design and analysis of renewable fuel supply chains – An integrated approach considering seasonal resource availability," European Journal of Operational Research, Elsevier, vol. 304(2), pages 745-762.
    3. Fatemeh Shekoohi Tolgari & Naeme Zarrinpoor, 2024. "A robust reverse pharmaceutical supply chain design considering perishability and sustainable development objectives," Annals of Operations Research, Springer, vol. 340(2), pages 981-1033, September.
    4. Shabnam Rekabi & Ali Ghodratnama & Amir Azaron, 2022. "Designing pharmaceutical supply chain networks with perishable items considering congestion," Operational Research, Springer, vol. 22(4), pages 4159-4219, September.

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