عنوان مقاله [English]
In this paper, a three-echelon supply chain, consisting of suppliers, a number of distribution centers (DCs), and a number of retailers (customers) is modeled in form of the integrated bi-objective inventory- location – routing problem (ILRP), in a way that perishable products are delivered to the customers in a limited time horizon, consisting of several time periods. The retailers’ demand is stochastic and is applied on the model by the concept of scenario. The transportation fleet is heterogeneous, and distribution centers use a timetable, which will prevent interference of the vehicles operation and allocation of a vehicle to more than one distribution center in each time period. Three methods of calculating the distance to the ideal point and in order to solving the model, have been investigated and analyzed and have brought some examples for expressing proposed methods. At the end, besides concluding the discussion, recommendations are made for future studies.