Mass-scale red blood cell genotyping of donors and transfusion recipients increases the availability of extended antigen matched red blood cell units. Therefore, a new mathematical framework is developed that can be applied for general blood groups (i.e., beyond the ABO, RhD blood groups). It determines which red blood cell units should be issued from inventory, such that requests from hospitals can be satisfied with antigen compatible red blood cell units, shortages for future requests are avoided, and outdating is prevented. The optimization model consists of two steps: a binary vector representation for general blood groups and the formulation of the inventory allocation problem as a minimum cost flow problem. The potential practical performance of the optimization model is evaluated by iterative simulations, based on historical data on supply and demand of red blood cell units in the Netherlands. When including the fourteen clinically most relevant antigens, more than 90% of all requests can be satisfied with antigen identical red blood cell units. Shortages and outdating can be kept restricted and could even be reduced to virtually zero, when only the ABO, RhD blood groups are considered.

供者和输血受者的大规模红细胞基因分型增加了扩展抗原匹配红细胞单位的可用性。因此，开发了一个新的数学框架，可以应用于一般血型（即 ABO 以外的血型、RhD 血型）。它确定应该从库存中发出哪些红细胞单位，以便医院的要求可以满足抗原兼容的红细胞单位，避免未来要求的短缺，并防止过时。优化模型包括两个步骤：一般血型的二元向量表示和作为最小成本流问题的库存分配问题的公式化。优化模型的潜在实际性能通过迭代模拟进行评估，基于荷兰红细胞单位供需的历史数据。当包括 14 种临床最相关的抗原时，抗原相同的红细胞单位可以满足 90% 以上的所有要求。当只考虑 ABO、RhD 血型时，短缺和过时可以保持限制，甚至可以减少到几乎为零。