Presenting a stochastic multi choice goal programming model for reducing wastages and shortages of blood products at hospitals

Document Type: Research Paper


1 Department of Industrial Engineering, Faculty of Industrial and Mechanical Engineering, Islamic Azad University, Qazvin Branch, Qazvin, Iran

2 Assistant professor of Immunology Head of Blood Transfusion Research Center High institute for Research and Education in Transfusion Medicine, Tehran, Iran

3 sharif university


One of the most fundamental components of healthcare system on each country is blood supply chain management. This chain is comprised of two significant components including collecting donor’ bloods and supplying blood’s products. The main purpose of this paper is to concentrate on supplying blood products and present a novel constrained bi-objective mathematical model for a two-echelon blood supply chain network (BSCN) in order to 1) minimize products’ waste and shortage costs in hospitals and 2) to minimize the maximum unsatisfied demand of different products among hospital demands supplied by blood transfusion centers. Some techniques are used to linearise the model’s nonlinear terms and decrease presented model’s complexity. Then, a multi-choice goal programming (MCGP) technique is used to convert bi-objective model into a single objective one. The model is solved on GAMS software under 3 different scenarios and 18 time periods in real-world BSCN. Computational results showed that hospitals are tended in accepting products’ holding and waste costs to satisfy demands of patients who are highly need for receiving blood products.


Main Subjects

Beliën, Jeroen, and Hein Forcé. 2012. “Supply Chain Management of Blood Products: A Literature Review.” European Journal of Operational Research 217(1): 1–16. (December 3, 2015).

Blake, John, and Matthew Hardy. 2013. “Using Simulation to Evaluate a Blood Supply Network in the Canadian Maritime Provinces.” Journal of Enterprise Information Management 26(1/2): 119–34.

Cetin, Eyup, and Sinem Sarul. 2009. “A Blood Bank Location Model: A Multiobjective Approach.” European Journal of Pure and Applied Mathematics 2(1): 112–24.

Cheraghali, A M. 2012. “Overview of Blood Transfusion System of Iran: 2002–2011.” Iranian Journal of Public Health 41(8): 89–93.

Van Dijk, Nico, René Haijema, Jan Van Der Wal, and Cees Smit Sibinga. 2009. “Blood Platelet Production: A Novel Approach for Practical Optimization.” Transfusion 49(3): 411–20.

Duan, Qinglin, and T. Warren Liao. 2014. “Optimization of Blood Supply Chain with Shortened Shelf Lives and ABO Compatibility.” International Journal of Production Economics 153: 113–29. (November 16, 2015).

Fahimnia, Behnam, Armin Jabbarzadeh, Ali Ghavamifar, and Michael Bell. 2015. “Supply Chain Design for Efficient and Effective Blood Supply in Disasters.” International Journal of Production Economics. (December 16, 2015).

Gharehbaghian, A, H Abolghasemi, and M Namini Tabrizi. 2008. “Status of Blood Transfusion Services in Iran.” asian journal of transfusion science 2(13-17).

Grant, David B. 2010. “Integration of Supply and Marketing for a Blood Service.” Management Research Review 33(2): 123–33.

Gunpinar, Serkan, and Grisselle Centeno. 2015. “Stochastic Integer Programming Models for Reducing Wastages and Shortages of Blood Products at Hospitals.” Computers & Operations Research 54: 129–41. (March 14, 2016).

Haijema, René, Jan van der Wal, and Nico M van Dijk. 2007. “Blood Platelet Production: Optimization by Dynamic Programming and Simulation.” Computers & Operations Research 34(3): 760–79.

Jabbarzadeh, Armin, Behnam Fahimnia, and Stefan Seuring. 2014. “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 70: 225–44. (May 20, 2015).

Katsaliaki, K, and S C Brailsford. 2007. “Using Simulation to Improve the Blood Supply Chain.” Journal of the Operational Research Society 58(2): 219–27.

Kazemi, Seyed Mahmood, Masoud Rabbani, Reza Tavakkoli-Moghaddam, and Farid Abolhassani Shahreza. 2017. “Blood Inventory-Routing Problem under Uncertainty.” Journal of Intelligent & Fuzzy Systems 32(1): 467–81.

Kohneh, Jamal Nahofti, Ebrahim Teymoury, and Mir Saman Pishvaee. 2016. “Blood Products Supply Chain Design Considering Disaster Circumstances (Case Study: Earthquake Disaster in Tehran).” Journal of Industrial and Systems Engineering 9(special issue on supply chain): 51–72.

Maramazi Ghaflez, Batoul et al. 2014. “Study of Rate and Causes of Blood Components Discard among Ahwaz’s Hospital.” Blood-Journal 11(3): 197–206 KW Key words: Blood Component Transfusion.

Nagurney, Anna, Amir H Masoumi, and Min Yu. 2012. “Supply Chain Network Operations Management of a Blood Banking System with Cost and Risk Minimization.” Computational Management Science 9(2): 205–31.

Omidkhoda, Azadeh, Sedigheh Amini Kafi-Abad, Ali Akbar Pourfatollah, and Mahtab Maghsudlu. 2016. “Blood Collection, Components Preparation and Distribution in Iran, 2008–2012.” Transfusion and Apheresis Science 54(1): 117–21.

Osorio, Andres F et al. 2016. “Simulation-Optimization Model for Production Planning in the Blood Supply Chain.” Health Care Management Science: 1–17.

Osorio, Andres F, Sally C Brailsford, and Honora K Smith. 2015. “A Structured Review of Quantitative Models in the Blood Supply Chain: A Taxonomic Framework for Decision-Making.” International Journal of Production Research 53(24): 7191–7212.

Pierskalla, William P. 2004. “Supply Chain Management of Blood Banks.” In Operations Research and Health Care: A Handbook of Methods and Applications, eds. Margaret L Brandeau, François Sainfort, and William P Pierskalla. Boston, MA: Springer US, 103–45.

Pierskalla, William P, and David J Brailer. 1994. “Chapter 13 Applications of Operations Research in Health Care Delivery.” In Operations Research and The Public Sector, ed. B T - Handbooks in Operations Research and Management Science. Elsevier, 469–505.

Puranam, Kartikeya, David C Novak, Marilyn T Lucas, and Mark Fung. 2017. “Managing Blood Inventory with Multiple Independent Sources of Supply.” European Journal of Operational Research 259(2): 500–511.

Rytilä, Jyrki S, and Karen M Spens. 2006. “Using Simulation to Increase Efficiency in Blood Supply Chains.” Management Research News 29(12): 801–19.

Seifried, E et al. 2011. “How Much Blood Is Needed?” Vox Sanguinis 100(1): 10–21.

Sha, Yue, and Jun Huang. 2012. “The Multi-Period Location-Allocation Problem of Engineering Emergency Blood Supply Systems.” Systems Engineering Procedia 5: 21–28.

Stanger, Sebastian H W, Nicola Yates, Richard Wilding, and Sue Cotton. 2012. “Blood Inventory Management: Hospital Best Practice.” Transfusion Medicine Reviews 26(2): 153–63.

Whitaker, Barbee et al. 2016. “Trends in United States Blood Collection and Transfusion: Results from the 2013 AABB Blood Collection, Utilization, and Patient Blood Management Survey.” Transfusion 56(9): 2173–83.

Yates, N, S Stanger, R Wilding, and S Cotton. 2017. “Approaches to Assessing and Minimizing Blood Wastage in the Hospital and Blood Supply Chain.” ISBT Science Series: n/a – n/a.

Zahiri, B., S.A. Torabi, M. Mousazadeh, and S.A. Mansouri. 2015. “Blood Collection Management: Methodology and Application.” Applied Mathematical Modelling 39(23-24): 7680–96. (March 23, 2016).

Zahiri, Behzad, and Mir Saman Pishvaee. 2016. “Blood Supply Chain Network Design Considering Blood Group Compatibility under Uncertainty.” International Journal of Production Research: 1–21.

Zhou, Deming, Lawrence C. Leung, and William P. Pierskalla. 2011. “Inventory Management of Platelets in Hospitals: Optimal Inventory Policy for Perishable Products with Regular and Optional Expedited Replenishments.” Manufacturing & Service Operations Management 13(4): 420–38.