Designing a mathematical model for blood products assignment in a stochastic environment (Case Study: Yazd Blood Transfusion Organization)

Document Type : Original Article

Authors

1 PHD student , Faculty of Economics and Administrative sciences, Ferdowsi University of Mashhad,Mashhad, Iran.

2 Faculty Member of Faculty of Administrative and Economic Sciences, Ferdowsi University of Mashhad

3 Associate Professor, Management, Economics and Accounting Faculty, Yazd University,Yazd, Iran.

4 Associate Professor, Facuity of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran.

Abstract

Blood and its products, is a valuable asset to protect the patients’ lives, and in some cases, are the only vital and sanative medicine for the patients so it should be avoided waste and non-optimal consumption. The assignment of blood and its products to hospitals is one of assignment problems, in which finding the optimal solution can lead to a reduction in mortality and waste of expenditure. In this research, a model for the problem of assignment of blood products in stochastic state has been offered and executed in blood transfusion organization in Yazd province. This study focuses on platelet and red blood cell products, due to their higher demand and their corrosively.
The goal of the model is to minimize the preparation, deficiency and waste cost of blood products, while considering the constraints of the problem. The proposed model was coded and solved by ILOG CPLEX 12.6.1 in Microsoft Visual Studio environment.

Keywords

References

[1]      J. Beliën, and H. Forcé, “Supply chain management of blood  products: A literature review”, Operational Research, vol.217,no. 1, pp. 1–16,2012.
[2]      Sh. Mehrvarz, A. Fanaei, and H. Mohebi, “Preservation and consumption of  blood in abdominal surgery”,  Blood Research Quarterly, vol.7, no. 1, pp. 41-47,2010.
[3]      S. Costas, “Allocating  blood to hospitals from a central blood bank”, European Journal of Operational Research, vol.16, pp. 157-162,1984.
[4]      D.V. Angelis, N. Ricciardi, and G. Storchi, “ Optimizing blood assignment in a donation-transfusion system”,  Intl. Trans. in Op. Res, vol. 8, pp. 183-192, 2001.
[5]      G.A. Tetteh, “Optimal allocation of blood products”, Interdisciplinary Program in Transportation Engineering, thesis of  Doctor of Philosophy in Transportation Engineering, 2008.
[6]      SH. Yue, and H. Jun, “The Multi-period location-allocation problem of engineering emergency blood supply systems”, Systems Engineering Procedia, vol.5, pp. 21 – 28, 2012.
[7]      A.Adewumi, N. Budlender, and M. Olusanya, “Optimizing the assignment of blood in a blood banking system: Some initial result”, IEEE World Congress on Computational Intelligence, Brisbane, Australia, pp. 10-15, 2012.
[8]      Kevin, O. Micheal, and  A. Aderemi, “On the performance of GRASP and dynamic programming for the blood assignment problem”,Global Humanitarian Technology Conference, vol.22, no. 3,  pp.110-122, 2013.
[9]      O. Micheal, M. Olusanya, M.Arasomwan, and O. Aderemi‌, “Particle ‌swarm optimization for optimizing assignment of  blood in banking system”,Computational and Methematical Methods in Medicine, vol.33, no.12, pp. 173-189, 2014.
[10]   O. Micheal, M. Olusanya, and O. Aderemi, “Using metaheuristic techniques  to optimize the blood assignment problem” International Advance Computing Conference, pp.1-12, 2015.
[11]   K. Katsaliaki, and  S.C. Brailsford, “Using simulation to improve the blood supply chain”, Journal Of The Operational Research Society, vol.58, no.2, pp. 219-227, 2007.
[12]   P. Ghandforoush,P, and C.K. Sen, “A DSS to manage platelet production supply chain for regional blood center”, Decision  Support System, vol.50, no.1, pp. 32-42, 2010.
[13]   Nagurney, A.H. Masoumi, and  M. Yu, “Supply chain network operations management of a blood banking system with cost and risk minimization” Computational Management Science, vol.9, no.2, pp. 205–231, 2012.
[14]   S. Filho, M. Carvalho, W. Cezarino, R. Silva, and  G. salviano, “Demand forecasting for blood components distribution of a blood supply chain”, IFAC Proceedings Volumes, vol. 46, no.24, 565-571, 2013.
[15]   A. Jabbarzadeh,  B. Fahimnia, and S. Seuring, “ Dynamic supply chain network design for the supply of blood in disasters: A robust model with real world  application”, Transportation Research, vol.70(c), pp. 225–244, 2014.
[16]   I. Vananya, A. Maryania, B. Amaliahb, F. Rinaldy, and  A. Muhammad, “Blood traceability system for indonesian blood supply chain”, Industrial Engineering and Service Science, Procedia Manufacturing, vol.4, pp.  535- 542, 2015.
[17]   S.M. Zahraee, J.M. Rohani, A. Firouzi, and A. Shahpanah, “Efficiency improvement of  blood supply chain system using taguchi method and dynamic simulation”, 2nd International Materials, Industrial, and Manufacturing Engineering Conference, Bali Indonesia, vol.2, pp. 1-5, 2015.
[18]   S.  Gunpinar, S. and G. Centeno, “Stochastic integer programming models for reducing wastages and shortages of  blood  products at hospitals”, Computers & Operation Research, vol.54, pp. 129-141, 2015.
[19]   H. Heidari, and S. Pasandideh, “ Modeling and solving a blood supply chain network: An approach for collection of blood”, International journal of Supply and Operations Management, vol.4, no. 2, pp. 158-166, 2017.
[20]   M. Eskandari, R. Tavakolimoghadam, A.A. Taleizadeh, and S. Hassanzadehamin,” Designing and optimizing a sustainable supply chain network for a blood platelet bank under uncertainty”, Engineering Applications of Artificial Intelligence, vol.71, pp. 236-250, 2018.
[21]   M. Araghi, and K. Eshghi, “A Meta-algorithm for solving a random allocation problem” Sharif Scientific and Research Journal, vol.45, pp. 3-12, 2008.
[22]   A. Ghorbani, Z. Najiazimi, and M. Salari, “ The expanded problem solving of employee allocation in uncertainty” Eighth International Conference of the Iranian Association for the Study of Opportunities. Mashhad, Ferdowsi university of mashhad, pp.1-9, 2015.
[23]   A. Azar, M.R. Amini, and P. Ahmadi, “ Robust fuzzy performance based budgeting model an approach to managing the budget allocation risk (case study: Tarbiat Modares university)”, Management Research in Iran, vol.17, no. 4, pp. 65-95,2014.
[24]   M.Vi. Pourkhatir, A. Azar, and M.R. Amini, “Developing performance based budgetin model: Organizational excellence approach”, Management Research in Iran, vol. 21, no.2, pp. 179-198, 2018.
[25]   M. Asadi, M.A. Shafia, and S. Yaghoubi, “A disaster facilities location-allocation model considering reliability under uncertainty and dynamic demand (Case Study: Earthquake disaster in Tehran)”, Modern Researches in Decision Making, vol.3, no.1, pp. 1-28, 2018.

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