Integration in the context of supply chain management is fundamental for achieving more resilient supply chains. The complexity of export processes challenges integration efforts, augmenting the need for specialized decision support systems to organize and systemize export decisions. The goal of this paper is to introduce an approach for the design of a decision support system that supports the wood product export process of a Chilean enterprise. The approach is focused on minimizing cost and obtaining a better global service level. The different actors involved in the wood export process are studied, with a particular focus on the negotiation process between the wood enterprise and shipping companies. The decision support system relies on an order management model for the logistics management of the enterprise to adequately solve the supplier selection and order allocation problems. The order management model relies on lexicographic goal programming to account for the multi-criteria nature of the underlying decision process. A case study is used to illustrate the benefits of the proposal.