Integrating bloodmobiles and drones in a post-disaster blood collection problem considering blood groups

M. Rezaei Kallaj, M. Hasannia Kolaee and S. M. J. Mirzapour Al-e-hashem ()
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M. Rezaei Kallaj: Amirkabir University of Technology (Tehran Polytechnic)
M. Hasannia Kolaee: Amirkabir University of Technology (Tehran Polytechnic)
S. M. J. Mirzapour Al-e-hashem: Amirkabir University of Technology (Tehran Polytechnic)

Annals of Operations Research, 2023, vol. 321, issue 1, No 27, 783-811

Abstract: Abstract Providing safe and adequate blood in an emergency to save many lives can be a challenge to the health system. In addition to managing blood collection in crises, delivering blood to the crisis site in a timely manner is another important problem in decision-making. Hence, in this study, we present a bi-objective mathematical model for determining the routing of bloodmobiles and drones to collect blood from various blood group donors and apply a cross-match strategy to supply adequate blood in critical situations. The first objective function is to maximize the amount of collected blood while the second objective function is to minimize the maximum arrival time of vehicles to the crisis-stricken city. We also introduce a function that determines the time required for bloodmobiles to stay in one place for the blood-collection process so as to bring the problem closer to real-world conditions. The problem is formulated as a two-stage stochastic problem by considering uncertainty in blood demands and the number of donors. To demonstrate the applicability and the efficiency of the proposed model, the model is tested on data from a real case study and implemented in various sizes via CPLEX and MOPSO. Finally, the sensitivity analysis is performed on certain parameters. The results show that by adding bloodmobiles, the staying time of bloodmobiles in stations decreases, and the demands are met more rapidly. Also, for each drone added to the system that is responsible for transporting the collected blood to the disaster-stricken area, the amount of collected blood increases by 12% while the arrival-time of the last vehicle decreases by 46%. Therefore, this model can benefit decision-makers in times of crisis and the collection and timely delivery of blood to the crisis area.

Keywords: Blood collection, Inventory routing problem, Post-disaster relief logistics, Bloodmobile, Drone, Blood groups; Two-stage stochastic programming (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10479-022-04905-y

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