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A hybrid framework for the modelling and optimisation of decision problems in sustainable supply chain management

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  • Paweł Sitek
  • Jarosław Wikarek

Abstract

This paper describes the hybrid framework for the modelling and optimisation of decision problems in sustainable supply chain management. The constraint-based environments used so far to model and solve the decision-making problems have turned out to be ineffective in cases where a number of interbound variables are added up in multiple constraints. The hybrid approach proposed here combines the strengths of mathematical programming and constraint programming. This approach allows a significant reduction in the search time necessary to find the optimal solution, and facilitates solving larger problems. Two software packages, LINGO and ECLiPSe, were employed to solve optimisation problems. The hybrid method appears to be not only as good as either of its components used independently, but in most cases it is much more effective. Its advantages are illustrated with simplified models of cost optimisation, for which optimal solutions are found ten times faster. The application of the proposed framework has contributed to more than 20 fivefold reduction in the size of the combinatorial problem.

Suggested Citation

  • Paweł Sitek & Jarosław Wikarek, 2015. "A hybrid framework for the modelling and optimisation of decision problems in sustainable supply chain management," International Journal of Production Research, Taylor & Francis Journals, vol. 53(21), pages 6611-6628, November.
    • Handle: RePEc:taf:tprsxx:v:53:y:2015:i:21:p:6611-6628
    DOI: 10.1080/00207543.2015.1005762
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    Cited by:

    1. Grzegorz Bocewicz & Zbigniew Banaszak & Izabela Nielsen, 2019. "Multimodal processes prototyping subject to grid-like network and fuzzy operation time constraints," Annals of Operations Research, Springer, vol. 273(1), pages 561-585, February.
    2. Barbosa-Póvoa, Ana Paula & da Silva, Cátia & Carvalho, Ana, 2018. "Opportunities and challenges in sustainable supply chain: An operations research perspective," European Journal of Operational Research, Elsevier, vol. 268(2), pages 399-431.
    3. Abhijeet Digalwar & Rakesh D. Raut & Vinay S. Yadav & Balkrishna Narkhede & Bhaskar B. Gardas & Ashwini Gotmare, 2020. "Evaluation of critical constructs for measurement of sustainable supply chain practices in lean‐agile firms of Indian origin: A hybrid ISM‐ANP approach," Business Strategy and the Environment, Wiley Blackwell, vol. 29(3), pages 1575-1596, March.
    4. Pawel Sitek & Jarosław Wikarek, 2019. "Capacitated vehicle routing problem with pick-up and alternative delivery (CVRPPAD): model and implementation using hybrid approach," Annals of Operations Research, Springer, vol. 273(1), pages 257-277, February.
    5. Steve J. Bickley & Alison Macintyre & Benno Torgler, 2021. "Artificial Intelligence and Big Data in Sustainable Entrepreneurship," CREMA Working Paper Series 2021-11, Center for Research in Economics, Management and the Arts (CREMA).

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