The growing concern about environmental and social impacts resulting from industrial activities has rethought the problem of supply chain design, in which the environmental and social pillars must be considered in the design process. Although the optimization of economic performance has been the main objective on the design of supply chains, the integration of financial indicators into design models has not been widely developed. This article proposes a mathematical programming model for the design of a sustainable supply chain. The objective function of the proposed model is the maximization of the market value added as a measure of the accumulated economic performance. The formulation includes the application of weighted raw material, transportation, and production costs to correctly calculate the cost of goods sold, a feature widely ignored in the literature. Regarding the social dimension, the installation of plants and distribution centers in regions with low human development index is promoted, and in the environmental dimension, the equivalent tons of carbon dioxide emitted by the land transportation of goods are restricted. An optimization-based primal heuristic is used as a solution strategy for the resulting mixed integer non-linear programming model. Finally, the proposed model is applied to a case study, which demonstrates the importance of considering sustainability for supply chain configuration.

对工业活动对环境和社会影响的日益关注，已经重新考虑了供应链设计的问题，在设计过程中必须考虑环境和社会因素。尽管优化经济绩效一直是设计供应链的主要目标，但尚未将财务指标整合到设计模型中。本文提出了用于可持续供应链设计的数学编程模型。所提出模型的目标功能是最大化市场增加值，以衡量累积经济绩效。该公式包括加权原材料的应用，运输和生产成本，以正确计算所售商品的成本，这是文献中普遍忽略的特征。在社会方面，促进在人类发展指数较低的地区建立工厂和配送中心，在环境方面，限制了通过陆路运输货物所排放的二氧化碳当量吨。基于优化的原始启发式算法用作所得混合整数非线性规划模型的解决方案策略。最后，将提出的模型应用于案例研究，该案例证明了考虑可持续性对供应链配置的重要性。限制了陆路运输所排放的二氧化碳当量吨。基于优化的原始启发式算法用作所得混合整数非线性规划模型的解决方案策略。最后，将提出的模型应用于案例研究，该案例证明了考虑可持续性对供应链配置的重要性。限制了陆路运输所排放的二氧化碳当量吨。基于优化的原始启发式算法用作所得混合整数非线性规划模型的解决方案策略。最后，将提出的模型应用于案例研究，该案例证明了考虑可持续性对供应链配置的重要性。