A Robust Mathematical Model for Blood Supply Chain Network using Game Theory

Jaber Valizadeh, U. Aickelin, H. A. Khorshidi
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引用次数: 2

Abstract

No alternative to human blood has been found so far, and the only source is blood donation by donors. This study presents a blood supply chain optimization model focusing on the location and inventory management of different centers. The main purpose of this model is to reduce total costs, including hospital construction costs, patient allocation costs, patient service costs, expected time-out fines, non-absorbed blood fines, and outsourcing process costs. We then calculate the cost savings of collaborating in each hospital coalition to calculate the fair allocation of cost savings across hospitals. The proposed model is developed based on the data for the city of Tehran and previous studies in the field of the blood supply chain as well as using four Cooperative Game Theory (CGT) methods such as Shapley value, τ- Value, core-center and least core, to reduce the total cost and the fair profit sharing between hospitals have been evaluated.
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基于博弈论的血液供应链网络鲁棒数学模型
到目前为止,还没有发现人类血液的替代品,唯一的来源是献血者的献血。本文提出了一个以不同中心的选址和库存管理为重点的血液供应链优化模型。该模型的主要目的是降低总成本,包括医院建设成本、患者分配成本、患者服务成本、预期超时罚款、未吸收血液罚款和外包流程成本。然后,我们计算每个医院联盟合作的成本节约,以计算成本节约在医院之间的公平分配。该模型基于德黑兰市的数据和先前在血液供应链领域的研究,并使用Shapley值、τ值、核心中心和最小核心等四种合作博弈论(CGT)方法来降低总成本,并评估了医院之间的公平利润分享。
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