Designing a Robust Model of the Blood Supply Chain in Conditions of Demand Uncertainty
Subject Areas : Supply chain management and logisticsMajid Motamedi 1 , S.M Mousavi 2 , Mohammad Hossein Darvish Motevali 3
1 - Department of Management, Nowshahr Branch Islamic Azad University, Nowshahr, Iran
2 - Department of Technical and Engineering, Faculty of Industrial Engineering, Islamic Azad University, Noshahr Branch, Mazandaran, Iran
3 - Department of Industrial Management, West Tehran Branch, Islamic Azad University, Tehran, Iran
Keywords: Robust model, Blood supply chain, Demand, Uncertainty conditions, Waste, Deficiency,
Abstract :
Blood supply chain is one of the most important challenges in health and treatment network. This research presents a non-linear multi objective robust and optimal model of the blood supply chain under conditions of demand uncertainty with the reducing cost and increasing the reliability of the blood supply chain for model reliability. The presented blood supply chain model is a three level model including supply, processing and distribution of blood. The problem has been investigated in different dimensions and using real data and sensitivity analysis. Baron solver in 24.9 GAMS software is used to solve the presented mathematical model. The results show that the presented model is able to estimate the amount of production produce from the blood center to the hospital, the amount of blood collected from donors, the amount of product inventory in each center and hospital with determine the goal of reducing cost and increasing reliability. In the presented model, the demand for blood is considered as non-deterministic and it is tried to increase the reliability of the chain by providing a suitable model of the robust supply chain, the cost are optimally controlled, also the waste is controlled and the lack of blood can also be minimized.
[1] Nahofti Kohneh. J., Teymoury. E., Pishvaee. M.S. (2016), Blood products supply chain design considering disaster circumstances (Case study: earthquake disaster in Tehran), Journal of Industrial and Systems Engineering, Vol. 9, 51 – 72.
[2] Rezaei-Malek. M., Tavakkoli-Moghaddam. R., Zahiri. B., Bozorgi-Amiri. A. (2016), An interactive approach for designing a robust disaster relief logistics network with perishable commodities. Computers & Industrial Engineering, Vol. 94, 201-215.
[3] Ramírez. A. p., Labadie. N. (2017), Stochastic inventory control and distribution of blood products. Proceedings of the International Conference on Industrial Engineering and Operations Management Bogota, Colombia, 25-26.
[4] Motamedi. M., Movahedi, M. M., Rezaian. J., Rashidi Komijani. A. (2019), Designing a Non-Linear Mixed Integer Two-objective Math Model to Maximize the Reliability of Blood Supply Chain. Engineering and Quality Management, Vol. 8, 4, 259-274, [In Persian].
[5] Motamedi M., Movahedi. M. M., Rezaian Zaidi. J., rashidi komijan. A. (2020), Factors Affecting Blood Donation in the Blood Supply Chain Under Critical Conditions, J Police Med, Vol. 9, 2, 71-78, [In Persian].
[6] Pouraliakbari-Mamaghani. M., Ghodratnama. A., Pasandideh. S.H.R. et al. (2022), A robust possibilistic programming approach for blood supply chain network design in disaster relief considering congestion, Operational Research, Vol. 22, 3, 1987–2032.
[7] Razavi. N., Gholizadeh. H., Nayeri. S., Alizadeh Ashrafi. T. (2021), A robust optimization model of the field hospitals in the sustainable blood supply chain in crisis logistics. Journal of the Operational Research Society, Vol. 72, 12, 2804-2828.
[8] Bayan. H., Diabat.. A. (2020), Robust design of blood supply chains under risk of disruptions using Lagrangian relaxation, Transportation Research Part E: Logistics and Transportation Review, vol. 134. 101764.
[9] Derikvand. H., Hajimolana. S.M., Jabbarzadeh. A., Najafi. S.E., (2020), A robust stochastic bi-objective model for blood inventory-distribution management in a blood supply chain, European Journal of Industrial Engineering Vol. 14, 3, 369 – 403.
[10] Pratiksha. P., Kumar Ray. P., Esha. S. (2018), Modeling and Analysis of Distribution of Blood Stocks to Healthcare Units, Healthcare Systems Management, Methodologies and Applications, Managing the Asian Century, 115–131.
[11] Ekici. A., Örsan Özener. O., Çoban. E. (2018), Blood Supply Chain Management and Future Research Opportunities, Operations Research Applications in Health Care Management, International Series in Operations Research & Management Science, chapter 10, 241-266.
[12] Habibi- Kouchaksaraei. M., Paydar. M.M., Asadi Gangraj. E. (2018), Designing a bi-objective multi-echelon robust blood supply chain in a Disaster, Applied Mathematical Modelling , Vol 55, 583-599.
[13] Basü. S., Carello. G., Lanzarone. E., Yalcüõndaù g. S. (2018), An appointment scheduling framework to balance the production of blood units from donation, European Journal of Operational Research, Vol. 265, 3, 1124-1143.
[14] Andres F. Osorio, Sally C. Brailsford, Honora K. Smith. (2018), Whole blood or apheresis donations? A multi-objective stochastic optimization approach, European Journal of Operational Research, Vol. 266, 1, 193-204.
[15] Ghatreh Samani. M.R., Torabi. S.A., Hosseini-Motlagh. S.M. (2018), Integrated blood supply chain planning for disaster relief, International Journal of Disaster Risk Reduction, Vol. 27, 168-188.
[16] Ensafian, H.,Yaghoubi, S., Modarres Yazdi.M. (2017) Raising quality and safety of platelet transfusion services in a patient based integrated supply chain under uncertainty, Computers and Chemical Engineering Vol. 106, 355-372.
[17] Khalilpourazari. S., Arshadi Khamseh. A. (2019), Bi-objective emergency blood supply chain network design in earthquake considering earthquake magnitude: a comprehensive study with real world application, Annals of Operations Research, vol. 283, 1, 355-393.
[18] Fereiduni. M., Shahanaghi. K., (2016): A robust optimization model for blood supply chain in emergency situations; International Journal of Industrial Engineering Computations, Vol. 7, 4, 535–554.
[19] Hosseini-Motlagh. S.M., Cheraghi. S., Ghatreh Samani. M. (2016), A Robust Optimization Model for Blood Supply Chain Network Design, International Journal of Industrial Engineering & Production Research, Vol. 27, 4, 425-444.
[20] Cheraghi. S., Hosseini-Motlagh. S.M. (2017), Optimal Blood Transportation in Disaster Relief Considering Facility Disruption and Route Reliability under Uncertainty, International Journal of Transportation Engineering, Vol. 4, 3, 225-254.
[21] Jokar. A., Hosseini-Motlagh. S,M. (2015), Impact of Capacity of Mobile Units on Blood Supply Chain Performance: Results from a Robust Analysis, International Journal of Hospital Research, Vol. 4, 3, 101-105.
[22] Osorio Muriel, A.F, Brailsford, S. Smith, H. (2014), A bi-objective optimization model for technology selection and donor’s assignment in the blood supply chain, Sistemas & Telemática, vol. 12, 30, 9-24.
[23] Mulvey, J. M., Vanderbei, R. J., Zenios, S. A. (1995), Robust optimization of large-scale systems, Operations research, Vol. 43, 2, 264-281.
[24] Yu, C. S., Li, H. L. (2000), A robust optimization model for stochastic logistic problems, International Journal of Production Economics, Vol. 64, 1-3, 385-397.
[25] Davoodi Kiaklayeh. A., Paridar. M., Tougeh, Gh. (2012), Calculating the unit cost of blood transfusion centers in Guilan province, Blood Research Quarterly, Vol. 9, 3, 346-352 [In Persian].
[26] Aghiani. M., Jabbarzadeh. A., Sajjadi. S.J. (2015), Presenting a robust optimization model for designing blood supply chain network in crisis situations with regard to reliability, Journal of Engineering and Quality Management, Vol. 5, 2, 85 -96 [In Persian].
[27] Zandedel. M., Bozorgi Amiri. A., Omrani. H. (2014), Presenting a model for locating blood donation sites with regard to disruption at the location, Journal of Industrial Engineering, Vol. 48, 33-43.
[28] Nigel. M. Clay., Abbasi. B., Eberhard. A., Hearne. J. (2018), On the volatility of blood inventories, International Transactions In Operational Research, Vol. 25, 1, 215-242.