Benders Decomposition Algorithm for a Build-to-Order Supply Chain Problem Under Uncertainty

Since customization increases, build-to-order systems have received greater attention from researchers and practitioners. this paper presents a new build-to-order supply chain model with multiple objectives that minimize the total cost and lead time and, also, maximize the quality level. the model is first formulated in a deterministic condition and, then, the uncertainty of the cost and quality by the scenario-based approach to solving a robust optimization was investigated. the return policy and outsourcing are the new issues in a build-to-order supply chain considering the cost and inventory. a benders decomposition algorithm is used to solve and validate the model. finally, the related results are analyzed and compared with the results obtained by cplex for deterministic and scenario-based models.