This paper explores the concept of capacity transfer in the context of capacitated facility location problems. This is accomplished by assuming that facilities with surplus capacity/production can cooperate with those facing shortage by transferring part of that capacity/production. Such a transfer incurs a cost that nonetheless may be compensated by savings both in the installation costs and in the distribution costs. Mixed-integer mathematical programming models are proposed for the problem. A distinction is made between the case in which the triangle inequality holds for the transfer costs and the case in which it does not. We present compact models, which are enhanced with valid inequalities that are separated in a branch-and-cut fashion. A comprehensive computational study with several hundreds of instances is reported showing the value of transferring capacities. Overall, this work investigates a problem that is at the core of more comprehensive models emerging in the context of logistics network design.

本文探讨了在设施有限的位置问题下能力转移的概念。这是通过假设具有过剩产能/生产能力的设施可以通过转移部分产能/生产能力来与面临短缺的设施进行合作来实现的。这种转移产生了成本，但是可以通过节省安装成本和分配成本来补偿。针对该问题提出了混合整数数学规划模型。在三角形不等式适用于转移成本的情况与不适用的情况下，存在区别。我们提出了紧凑的模型，这些模型以有效的不等式进行了增强，这些不等式以分支剪切的方式分离。据报道，有数百个实例的综合计算研究表明了转移能力的价值。总的来说，这项工作研究的问题是在物流网络设计的背景下出现的更全面模型的核心。