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Approximate Dynamic Programming Modeling for a Typical Blood Platelet Bank


Affiliations
1 Department of Mechanical and Industrial Engineering, Ryerson University, Toronto, Ontario, M5S 3G8, Canada
 

In this paper, we have devised a real-time, workable model for solving the practical problems associated with responsible blood platelet inventory. These problems include how to eciently dispense, organize, store, and order platelets that become unusable after 6 days. Stochastic demand and supply, as well as deterministic lead times, are congured into their model. Any shortages or outdates of the 8 major blood types are penalized in this proposal, with revenue in conjunction with a further emphasis on the age of platelets will maximize ecency as well. A combined model of linear programing and approximate dynamic programming (ADP) was deployed while constructing their practical model. In an environment which emphasizes the need for real-time judgements, this new policy, as advanced here, will lead to substantial shortage, outdate, and cost reductions of these time-stamped platelets. The experimental application of this model produced shortages in the range of approximately 4.7% with outdates at 5.5%, a vast improvement over existing methods. An ADP approach was found to be practical during this research, and additionally the model showed much promise with respect to enhancing a reward system that simultaneously decreases shortages and the number of expired platelets.

Keywords

Approximate Dynamic Programming, News-Vendor, Blood Bank, Perishable Product, Blood Platelet, Inventory Model, Health Care Mang, Resource Allocation, Inventory Management, Supply Chain.
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  • Approximate Dynamic Programming Modeling for a Typical Blood Platelet Bank

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Authors

U. Abdulwahab
Department of Mechanical and Industrial Engineering, Ryerson University, Toronto, Ontario, M5S 3G8, Canada
M. I. M. Wahab
Department of Mechanical and Industrial Engineering, Ryerson University, Toronto, Ontario, M5S 3G8, Canada

Abstract


In this paper, we have devised a real-time, workable model for solving the practical problems associated with responsible blood platelet inventory. These problems include how to eciently dispense, organize, store, and order platelets that become unusable after 6 days. Stochastic demand and supply, as well as deterministic lead times, are congured into their model. Any shortages or outdates of the 8 major blood types are penalized in this proposal, with revenue in conjunction with a further emphasis on the age of platelets will maximize ecency as well. A combined model of linear programing and approximate dynamic programming (ADP) was deployed while constructing their practical model. In an environment which emphasizes the need for real-time judgements, this new policy, as advanced here, will lead to substantial shortage, outdate, and cost reductions of these time-stamped platelets. The experimental application of this model produced shortages in the range of approximately 4.7% with outdates at 5.5%, a vast improvement over existing methods. An ADP approach was found to be practical during this research, and additionally the model showed much promise with respect to enhancing a reward system that simultaneously decreases shortages and the number of expired platelets.

Keywords


Approximate Dynamic Programming, News-Vendor, Blood Bank, Perishable Product, Blood Platelet, Inventory Model, Health Care Mang, Resource Allocation, Inventory Management, Supply Chain.