Modeling And Solving The Locating-Routing Problem For Perishable Products In Multigraphs Considering Vehicle Pollution And Warehouses Failure

The expansion of urban infrastructure and the development of urbanization, on the one hand, and the increasing demand and growth of distribution companies in urban and inter-urban environments on the other hand, have led to complexities in logistics and good transport. In this regard, many companies and factories produce and distribute food products that their qualities decrease by increasing the duration of distribution. In this study, we present and investigate the locating-routing model in multigraphs where parallel paths have different traffic congestions according to the time of the day. The proposed model tends to reduce the costs of locating and logistics in addition to reduce pollution generated by vehicles and maximize the quality of food products. In order to approach the model to real conditions, the problem is modeled under uncertain conditions and warehouses failure is possible in the transport network. In the following, the proposed model is solved and examined. The results show that the use of multigraph representation not only reduces transportation costs and environmental impacts but also enhances the quality, novelty of shipped products, and helps to design an efficient logistic network for perishable products.