World Journal of Operational Research

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Stochastic Integer Programming Models in the Management of the Blood Supply Chain: A Case Study

Received: Jul. 11, 2017    Accepted: Jul. 19, 2017    Published: Aug. 14, 2017
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Abstract

This paper presents a problem in the management of the blood supply chain at the blood banks with perishability characteristics, especially for the red blood cells and platelets. Focus of this discussion is to minimize the total cost, shortage and wastage levels of the blood unit. Stochastic integer programming approach is used to solve this problem by assuming the blood group and taking into account the age of the blood. At the end of this study we give a simulation to see the result of applying the method in this issue.

DOI 10.11648/j.wjor.20170102.11
Published in World Journal of Operational Research ( Volume 1, Issue 2, November 2017 )
Page(s) 41-48
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Supply Chain Management, Blood Banks, Perishable Items, Stochastic Integer Programming

References
[1] J. Belien and H. Force, Supply chain management of blood products: A literature review, European Journal of Operational Research, 217 (2012), 1–16.
[2] E. A. Bender, An Introduction to Mathematical Modeling, Jhon Wiley & Sons, New York, 1978.
[3] J. R. Birge and F. Louveaux, Introduction to Stochastic Programming Second Edition, Beijing dan Spinger-Verlag, New York, 1997.
[4] S. Chopra and P. Meindl, Supply Chain Management Third Edition, Pearson Education, Upper Saddle River, New Jersey, 2007.
[5] P. Ghandforoush and T. K. Sen, A DSS to manage platelet production supply chain for regional blood centers, Decision Support Systems, 50 (2010), 32–42.
[6] S. Gunpinar and G. Centeno, Stochastic integer programming models for reducing wastages and shortages of blood products at hospitals, Computers and Operations Research, (2014), 1–14.
[7] R. Haijema, N. M. Dijk, J. Wal and C. S. Sibinga Blood platelet production with breaks: Optimization by SDP and simulation, International Journal of Production Economics, 121 (2009), 464–473.
[8] V. Hemmelmayr, K. F. Doerner, R. F. Hartl and W. P. Savelsbergh, Vendor managed inventory for environments with stochastic product usage, European Journal of Operational Research, 202 (2010), 686–695.
[9] F. S. Hillier and G. J. Lieberman, Introduction to Operations Research Ninth Edition, Mc Graw-Hill Companies, New York, 2010.
[10] P. Kall and S. W. Wallace, Stochastic Programming First Edition, John Wiley & Sons, New York, 1994.
[11] K. Katsaliaki and S. C. Brailsford, Using simulation to improve the blood supply chain, Journal of the Operational Research Society, 58 (2007), 219–227.
[12] A. Nagurney, A. H. Masoumi and M. Yu, Supply chain network operations management of a blood banking system with cost and risk minimization, Computers Managemengt Science, 9 (2012), 205–231.
[13] W. P. Pierskalla, Supply chain management of blood banks, Operations Research and Health Care: A Handbook of Methods and Applications, Kluwer Academic Publishers, (2004), 103–145.
[14] G. P. Prastacos, Blood inventory management: An overview of theory and practice, Management Science, 30 (1984), 777–800.
[15] Health Media (in Indonesian: Media Kesehatan), www.medikes.webs.com, accessed in 21 Oktober 2015, at 13:00 PM.
[16] Indonesian Cross Red, www.pmi.or.id/index.php, accessed in 22 Oktober 2015, at 20:00 PM.
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  • APA Style

    Lusiana Sibuea, Habibis Saleh, Moh Danil Hendry Gamal. (2017). Stochastic Integer Programming Models in the Management of the Blood Supply Chain: A Case Study. World Journal of Operational Research, 1(2), 41-48. https://doi.org/10.11648/j.wjor.20170102.11

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    ACS Style

    Lusiana Sibuea; Habibis Saleh; Moh Danil Hendry Gamal. Stochastic Integer Programming Models in the Management of the Blood Supply Chain: A Case Study. World J. Oper. Res. 2017, 1(2), 41-48. doi: 10.11648/j.wjor.20170102.11

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    AMA Style

    Lusiana Sibuea, Habibis Saleh, Moh Danil Hendry Gamal. Stochastic Integer Programming Models in the Management of the Blood Supply Chain: A Case Study. World J Oper Res. 2017;1(2):41-48. doi: 10.11648/j.wjor.20170102.11

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  • @article{10.11648/j.wjor.20170102.11,
      author = {Lusiana Sibuea and Habibis Saleh and Moh Danil Hendry Gamal},
      title = {Stochastic Integer Programming Models in the Management of the Blood Supply Chain: A Case Study},
      journal = {World Journal of Operational Research},
      volume = {1},
      number = {2},
      pages = {41-48},
      doi = {10.11648/j.wjor.20170102.11},
      url = {https://doi.org/10.11648/j.wjor.20170102.11},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.wjor.20170102.11},
      abstract = {This paper presents a problem in the management of the blood supply chain at the blood banks with perishability characteristics, especially for the red blood cells and platelets. Focus of this discussion is to minimize the total cost, shortage and wastage levels of the blood unit. Stochastic integer programming approach is used to solve this problem by assuming the blood group and taking into account the age of the blood. At the end of this study we give a simulation to see the result of applying the method in this issue.},
     year = {2017}
    }
    

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    AB  - This paper presents a problem in the management of the blood supply chain at the blood banks with perishability characteristics, especially for the red blood cells and platelets. Focus of this discussion is to minimize the total cost, shortage and wastage levels of the blood unit. Stochastic integer programming approach is used to solve this problem by assuming the blood group and taking into account the age of the blood. At the end of this study we give a simulation to see the result of applying the method in this issue.
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Author Information
  • Department of Mathematics, University of Riau, Pekanbaru, Indonesia

  • Department of Mathematics, University of Riau, Pekanbaru, Indonesia

  • Department of Mathematics, University of Riau, Pekanbaru, Indonesia

  • Section