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An interactive possibilistic programming approach for a multi-objective closed-loop supply chain network under uncertainty. (English) Zbl 1307.90158

Summary: In this article, we first propose a closed-loop supply chain network design that integrates network design decisions in both forward and reverse supply chain networks into a unified structure as well as incorporates the tactical decisions with strategic ones (e.g., facility location and supplier selection) at each period. To do so, various conflicting objectives and constraints are simultaneously taken into account in the presence of some uncertain parameters, such as cost coefficients and customer demands. Then, we propose a novel interactive possibilistic approach based on the well-known STEP method to solve the multi-objective mixed-integer linear programming model. To validate the presented model and solution method, a numerical test is accomplished through the application of the proposed possibilistic-STEM algorithm. The computational results demonstrate suitability of the presented model and solution method.

MSC:

90C29 Multi-objective and goal programming
90C35 Programming involving graphs or networks
90C11 Mixed integer programming
90B06 Transportation, logistics and supply chain management
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