An Emergency Blood Allocation Approach Considering Blood Group Compatibility in Disaster Relief Operations

Abstract

Large-scale sudden-onset disasters may cause massive injuries and thus place great pressure on the emergency blood supplies of local blood banks. When blood is in short supply, blood products gathered urgently to a local blood center should be appropriately allocated to blood banks in the affected area. Moreover, ABO/Rh(D) compatibilities among blood groups must be considered during emergency situations. To minimize the total unmet demand of blood products considering the optimal ABO/Rh(D)-compatible blood substitution scheme, a mixed integer programming model is developed and solved efficiently by using a greedy heuristic algorithm. Finally, a numerical example derived from the emergency blood supply scenario of the Wenchuan Earthquake is presented to verify the proposed model and algorithm. The results show that considering ABO/Rh(D)-compatible blood substitution can remarkably increase the efficiency of emergency blood allocation while lowering blood shortage, and the preference order of possible ABO/Rh(D)-compatible substitutions has an influence on the allocation solution.

Keywords

Blood group compatibility / Blood substitution / Disaster relief / Emergency blood allocation / Greedy heuristic algorithm

References

[1] Abdulwahab U, Wahab MIM. Approximate dynamic programming modeling for a typical blood platelet bank. Computers & Industrial Engineering, 2014, 78: 259-270

[2] Abolghasemi H, Radfar MH, Tabatabaee M, Hosseini-Divkolayee NS, Burkle FM. Revisiting blood transfusion preparedness: Experience from the Bam Earthquake response. Prehospital and Disaster Medicine, 2008, 23(5): 391-394

[3] Atkinson MP, Fontaine MJ, Goodnough LT, Wein LM. A novel allocation strategy for blood transfusions: Investigating the tradeoff between the age and availability of transfused blood. Transfusion, 2012, 52(1): 108-117

[4] Bakker M, Riezebos J, Teunter RH. Review of inventory systems with deterioration since 2001. European Journal of Operational Research, 2012, 221(2): 275-284

[5] Beliën J, Forcé H. Supply chain management of blood products: A literature review. European Journal of Operational Research, 2012, 217(1): 1-16

[6] BSMS (Blood Stocks Management Scheme). 2003. Inventory practice survey. http://www.bloodstocks.co.uk/pdf/annualreport2003-4.pdf. Accessed 20 May 2017.

[7] Dillon M, Oliveira F, Abbasi B. A two-stage stochastic programming model for inventory management in the blood supply chain. International Journal of Production Economics, 2017, 187: 27-41

[8] Duan QL, Liao TW. Optimization of blood supply chain with shortened shelf lives and ABO compatibility. International Journal of Production Economics, 2014, 153: 113-129

[9] Ensafian H, Yaghoubi S, Yazdi MM. Raising quality and safety of platelet transfusion services in a patient-based integrated supply chain under uncertainty. Computers & Chemical Engineering, 2017, 106: 355-372

[10] Ensafian H, Yaghoubi S. Robust optimization model for integrated procurement, production and distribution in platelet supply chain. Transportation Research Part E: Logistics and Transportation Review, 2017, 103: 32-55

[11] Fahimnia B, Jabbarzadeh A, Ghavamifar A, Bell M. Supply chain design for efficient and effective blood supply in disasters. International Journal of Production Economics, 2017, 183: 700-709

[12] Fazli-Khalaf M, Khalilpourazari S, Mohammadi M. Mixed robust possibilistic flexible chance constraint optimization model for emergency blood supply chain network design. Annals of Operations Research, 2017

[13] Federgruen A, Prastacos G, Zipkin PH. An allocation and distribution model for perishable products. Operations Research, 1986, 34(1): 75-82

[14] Ganesh K, Narendran TT, Anbuudayasankar SP. Evolving cost-effective routing of vehicles for blood bank logistics. International Journal of Logistics Systems and Management, 2014, 17(4): 381-415

[15] Gregor PJ, Forthofer RN, Kapadia AS. An evaluation of inventory and transportation policies of a regional blood distribution system. European Journal of Operational Research, 1982, 10(1): 106-113

[16] Hemmelmayr V, Doerner KF, Hartl RF, Savelsbergh MW. Delivery strategies for blood products supplies. OR Spectrum, 2009, 31(4): 707-725

[17] Hess JR, Thomas MJ. Blood use in war and disaster: Lessons from the past century. Transfusion, 2003, 43(11): 1622-1633

[18] Ibrion M, Mokhtari M, Nadim F. Earthquake disaster risk reduction in Iran: Lessons and “lessons learned” from three large earthquake disasters - Tabas 1978, Rudbar 1990, and Bam 2003. International Journal of Disaster Risk Science, 2015, 6(4): 415-427

[19] Jabbarzadeh A, Fahimnia B, Seuring S. Dynamic supply chain network design for the supply of blood in disasters: A robust model with real world application. Transportation Research Part E: Logistics and Transportation Review, 2014, 70: 225-244

[20] Jafarkhan, F., and S. Yaghoubi. 2018. An efficient solution method for the flexible and robust inventory-routing of red blood cells. Computers & Industrial Engineering. https://doi.org/10.1016/j.cie.2018.01.029.

[21] Karaesmen IZ, Scheller-Wolf A, Deniz B. Kempf KG, Keskinocak P, Uzsoy R. Managing perishable and aging inventories: Review and future research directions. Planning production and inventories in the extended enterprise, 2011, Boston, MA: Springer 393-436

[22] Khalilpourazari S, Khamseh AA. Bi-objective emergency blood supply chain network design in earthquake considering earthquake magnitude: A comprehensive study with real world application. Annals of Operations Research, 2017

[23] Lang JC. Lang JC. Blood bank inventory control with transshipments and substitutions. Production and Inventory Management with Substitutions, 2010, Berlin: Springer 205-226

[24] Liu J, Huang Y, Wang JX, Bi X, Li J, Lu Y, Wen X, Yao F Impact of the May 12, 2008, earthquake on blood donations across five Chinese blood centers. Transfusion, 2010, 50(9): 1972-1979

[25] Ma ZJ, Dai Y, Wang KM. Theory and methods for emergency blood supply in unconventional emergencies, 2015, Beijing: Science Press (in Chinese)

[26] Mujeeb SA, Jaffery SH. Emergency blood transfusion services after the 2005 earthquake in Pakistan. Emergency Medicine Journal, 2007, 24(1): 22-24

[27] Nahmias S. Perishable inventory theory: A review. Operations Research, 1982, 30(4): 680-708

[28] Najafi M, Ahmadi A, Zolfagharinia H. Blood inventory management in hospitals: Considering supply and demand uncertainty and blood transshipment possibility. Operations Research for Health Care, 2017, 15: 43-56

[29] NHS (National Health Service). 2012. Blood group O RhD negative red blood cells information for clinical and laboratory staff. http://hospital.blood.co.uk/media/2336/f84024fc-89ae-4535-9d21-16a24f08d336.pdf. Accessed 20 May 2017.

[30] Olusanya, M.O., and A.O. Adewumi. 2014. Using metaheuristic techniques to optimize the blood assignment problem. In Proceedings of 2014 IEEE International Advance Computing Conference (IACC 2014), 21–22 February 2014, Gurgaon, India, 1331–1336.

[31] Oneblood. 2018. About blood types. https://www.oneblood.org/about-donating/blood-donor-basics/what-is-blood/about-blood-types.stml. Accessed 16 Apr 2018.

[32] Osorio AF, Brailsford SC, Smith HK. A structured review of quantitative models in the blood supply chain: A taxonomic framework for decision-making. International Journal of Production Research, 2015, 53(24): 7191-7212

[33] Osorio AF, Brailsford SC, Smith HK. Whole blood or apheresis donations? A multi-objective stochastic optimization approach. European Journal of Operational Research, 2018, 266(1): 193-204

[34] Pierskalla WP. Brandeau ML, Sainfort F, Pierskalla WP. Supply chain management of blood banks. Operations research and health care, 2005, New York: Springer 103-145

[35] Prastacos GP. Allocation of a perishable product inventory. Operations Research, 1981, 29(1): 95-107

[36] Prastacos GP. Blood inventory management: An overview of theory and practice. Management Science, 1984, 30(7): 777-800

[37] Sahin G, Sural H, Meral S. Locational analysis for regionalization of Turkish Red Crescent blood services. Computers and Operations Research, 2007, 34: 692-704

[38] Samani MRG, Torabi SA, Hosseini-Motlagh SM. Integrated blood supply chain planning for disaster relief. International Journal of Disaster Risk Reduction, 2018, 27: 168-188

[39] Sapountzis C. Allocating blood to hospitals from a central blood bank. European Journal of Operational Research, 1984, 16: 157-162

[40] Sharma B, Ramkumar M, Subramanian N, Malhotra B. Dynamic temporary blood facility location-allocation during and post-disaster periods. Annals of Operations Research, 2017

[41] Wang KM, Ma ZJ. Age-based policy for blood transshipment during blood shortage. Transportation Research Part E: Logistics and Transportation Review, 2015, 80: 166-183

[42] Zahiri B, Pishvaee MS. Blood supply chain network design considering blood group compatibility under uncertainty. International Journal of Production Research, 2017, 55(7): 2013-2033