a multi-objective robust optimization model for green supply chain design under uncertainty

The design of the supply chain is one of the crucial issues in supply chain management. in this paper, a multi-echelon, multiproduct, multi-objective mixed integer linear rogramming model, with considering multiple suppliers, multiple transportation modes and multiple environmental protection levels for manufacturing plants are developed for a green supply chain network design (gscnd) problem. the first objective function aims to minimize the economic cost, and the second one is to minimize environmental influences. also, we consider demands and cost parameters under uncertainty. then a robust optimization approach is utilized to handle uncertain parameters, and the proposed model is solved as a single-objective mixed integer linear programming model applying the lp-metric method. a numerical example is presented to show the applicability of the given model.