A Sustainable EOQ Model: theoretical formulation and applications

Traditional inventory models involve different decisions that attempt to optimize material lot sizes by minimizing total annual supply chain costs by an economic point of view. However, the increasing concern on the environmental problems stresses the need to treat inventory management decisions as a whole by integrating economic and environmental objectives. Recent studies have underlined the need to incorporate additional criteria in traditional inventory models in order to design “responsible inventory systems”. This paper explores the integration of factors affecting the environmental impact within the traditional EOQ model and proposes a “Sustainable EOQ Model”. All sustainability factors linked to the material purchasing lot size are here analyzed from the beginning of the purchasing order to the end of its life inside the buyer plant. Thus, the environmental impact of transportation and inventory is incorporated in the model and investigated by an economic point of view. In particular internal and external transportation costs, the vendor and supplier location and the different freight vehicle utilization ratio are considered in order to provide an easy-to-use methodology. The optimization approach is applied to representative data from industrial problems to assess the impact of sustainability considerations on purchasing decisions if compared with the traditional approaches. Finally, an illustration of the effect of using the new “Sustainable EOQ model” is presented and discussed.