Abstract

This paper develops a stochastic multi-period mixed-integer model for collection, production, storage, and distribution of platelet in Blood Transfusion Organizations ranging from blood collection centers to clinical points. In this model, the age of platelet and ABO-Rh priority matching rules are incorporated based on the type of patient to raise the quality and safety of platelet transfusion services. At first, a discrete Markov Chain Process is applied to predict the number of donors. Afterwards, the uncertain demand is captured using a two-stage stochastic programming. A challenging aspect of applying stochastic programming in a dynamic setting is to construct an appropriate set of discrete scenarios. Therefore, we introduce an improved approach for scenario reduction which well represents multivariate stochastic processes for uncertain parameters. To manage risk, a straightforward approach to reduce the expected value and variance of cost is proposed. Finally, management strategies inspired from a real case study are presented.

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