An extended pooling problem is developed for the design of detergents, that include process and product design together with suppliers’ selection. It is a multiperiod and multi-objective optimization problem since it considers the economic benefit and environmental impact as well as the contract length. This problem can be considered as a previous step to the integrated product, process and supply chain design. This type of problems is non-linear and non-convex. Two formulations are developed to tackle this problem. An MINLP and a reformulated NLP using a decision vector avoiding the use of binary variables. The NLP shows better computational performance in spite of the larger problem size. Furthermore, it is demonstrated that when considering different ingredients, formulations, pricing policies and suppliers, their selection can be adjusted until a reduction of almost 40% of CO₂ emissions is achieved without the benefit decreasing more than 1.5%.

对于洗涤剂的设计，存在一个扩展的合并问题，包括工艺和产品设计以及供应商的选择。这是一个多周期，多目标的优化问题，因为它考虑了经济利益，环境影响以及合同期限。该问题可以视为集成产品，过程和供应链设计的前一步。这种类型的问题是非线性的和非凸的。开发了两种公式来解决这个问题。使用决策向量的MINLP和重新制定的NLP避免使用二进制变量。尽管问题规模更大，但NLP仍显示出更好的计算性能。此外，事实证明，在考虑不同的成分，配方，定价政策和供应商时，实现_2种排放，而收益降低不超过1.5％。