Abstract— Carriers conveying long-distance traffic face different routing options with regard to service quality and cost. Thus, Least Cost Routing (LCR) solutions supporting optimal decisions become a very important issue in the inter-carrier operations. In this paper, we present this problem in the context of the long-distance traffic partner-carrier choice. The mathematical optimization problem is formulated. Especially, constraints (e.g., capacity, volume) related to the techniques used are considered. Different tariffs formulations are taken into account as well. Then, the methods to find the optimal and sub-optimal solutions are elaborated.