随机需求和产出下血小板供应链库存协同控制

Collaborative Inventory Control in a Platelet Supply Chain with Stochastic Demand and Yield

考虑由血站和医院构成的血小板供应链,针对血站利用全血分离制备血小板时存在随机产出和医院对血小板的需求也是随机的情况,研究了医院的血小板订购策略和血站的全血采集策略的协同优化问题。分别建立了集中决策、医院管理库存(HMI)和血站管理库存(BMI)3种模式下的血小板供应链库存协同控制模型,分析了不同情形下的血小板最优订购量和全血最优采集量决策,以及需求短缺惩罚、供需不确定性等参数对最优决策的影响。研究结果表明,血小板供应链库存控制采用BMI模式并不总是优于HMI模式,只有当血小板临床需求的单位缺货惩罚成本不超过某一阈值时才成立。此外,降低血小板制备产出和血小板临床需求的不确定性对于提高血小板供应链期望效益有显著作用。

Considering both stochastic demand of platelets from the hospital and stochastic yield rate of preparing platelets from whole blood in the blood bank,the collaborative optimization of hospital's ordering strategy for platelets and blood bank's collection strategy for whole blood in a platelet supply chain was investigated.Collaborative inventory control models were developed for the platelet supply chain under the centralized decision mode,the hospital managed inventory(HMI)mode and the bank managed inventory(BMI)mode,respectively.The optimal ordering quantity of platelets and the optimal collection quantity of whole blood were derived,and the impacts of parameters(such as the shortage penalty cost,the uncertainty in demand and yield)on optimal decisions were analyzed.The results show that the BMI model is not always superior to the HMI mode for inventory control in the platelet supply chain,and is valid only if the unit penalty cost for the shortage of platelets does not exceed a certain threshold.Moreover,reducing the uncertainty in the yield rate and the clinical demand of platelets has a significant effect on improving the expected reward of platelet supply chain.