Abstract:

Concerning the perspective of supply chain integration, a blood supply model was developed, which aimed to minimize the blood acquisition risk, system operation cost, the punishment for both excessive and insufficient acquisition by the multi-objective programming method. Taking into account the feature that the amount of expired blood is proportional to time, as well as the cost for expired blood processing, a regional supply and demand equilibrium model characterized by stochastic demand of the four types of blood was built. The model was proved to be convex, and the variational inequality of the blood supply and demand network equilibrium was derived. By modified quasi-Newton method, the solutions of the blood supply chain supply and demand equilibrium under stochastic demand condition were obtained. Finally, a case study in Chengdu verified the model's applicability.

摘要：

从供应链一体化的角度对区域血液供应网络建模。采用多目标规划的方法，将血液采集风险成本、系统运作成本、供给过多与过少的惩罚成本最小作为目标，考虑血液报废量与时间成正比的特性，将过期报废血液处理费用考虑在内，建立了随机需求的四种血型的区域供需网络均衡模型。通过证明所建模型是凸的，进一步导出了血液供需网络平衡的变分不等式。运用修改的拟牛顿法，求得了随机需求下血液供应链供需平衡的解。最后，通过成都某区供血系统进一步验证了模型的适用性。