Abstract
This paper presents a bi-objective model to design a closed loop supply chain with simultaneous consideration of districting regions, facility location–allocation, service sharing, and intra-district service transfer. The first objective function is to minimize the total costs, and the second one is to minimize the maximum volume of surplus demand from service facilities. In this model, costs, returns, and maximum service supply are uncertain; a robust optimization approach is used to take into account the uncertainty. Additionally, the validity of the proposed mathematical model on a real case study in the oil and gas industry sector has been investigated.
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