An accelerated Benders decomposition algorithm for sustainable supply chain network design under uncertainty: A case study of medical needle and syringe supply chain

•A model is proposed for design of a sustainable medical supply chain.•The inherent epistemic uncertainty of parameters is taken into account.•LCA-based social impact assessment method is integrated in the model.•LCA-based environmental impact assessment method is also integrated in the model.•An accelerated Benders decomposition algorithm is designed to solve the model.

This paper proposes a multi-objective possibilistic programming model to design a sustainable medical supply chain network under uncertainty considering conflicting economic, environmental and social objectives. Effective social and environmental life cycle assessment-based methods are incorporated in the model to estimate the relevant environmental and social impacts. An accelerated Benders decomposition algorithm utilizing three efficient acceleration mechanisms is devised to cope with computational complexity of solving the proposed model. Computational analysis is also provided by using a medical industrial case study to present the significance of the proposed model as well as the efficiency of the accelerated Benders decomposition algorithm.