Raising quality and safety of platelet transfusion services in a patient-based integrated supply chain under uncertainty

Abstract This paper develops a stochastic multi-period mixed-integer model for collection, production, storage, and distribution of platelet in Blood Transfusion Organizations ranging from blood collection centers to clinical points. In this model, the age of platelet and ABO-Rh priority matching rules are incorporated based on the type of patient to raise the quality and safety of platelet transfusion services. At first, a discrete Markov Chain Process is applied to predict the number of donors. Afterwards, the uncertain demand is captured using a two-stage stochastic programming. A challenging aspect of applying stochastic programming in a dynamic setting is to construct an appropriate set of discrete scenarios. Therefore, we introduce an improved approach for scenario reduction which well represents multivariate stochastic processes for uncertain parameters. To manage risk, a straightforward approach to reduce the expected value and variance of cost is proposed. Finally, management strategies inspired from a real case study are presented.

[1]  M. Jacobs,et al.  Detection of bacterial contamination in prestorage culture‐negative apheresis platelets on day of issue with the Pan Genera Detection test , 2011, Transfusion.

[2]  Aman Paul Prediction of Blood Donors" Population using Data Mining Classification Technique , 2014 .

[3]  M. Lütke entrup,et al.  Mixed-Integer Linear Programming approaches to shelf-life-integrated planning and scheduling in yoghurt production , 2005 .

[4]  Sally C. Brailsford,et al.  A structured review of quantitative models in the blood supply chain: a taxonomic framework for decision-making , 2015 .

[5]  Parviz Ghandforoush,et al.  A DSS to manage platelet production supply chain for regional blood centers , 2010, Decis. Support Syst..

[6]  J. Seghatchian,et al.  The platelet storage lesion. , 1997, Transfusion medicine reviews.

[7]  Fengqi You,et al.  Risk Management for a Global Supply Chain Planning Under Uncertainty : Models and Algorithms , 2009 .

[8]  Arben Asllani,et al.  A simulation‐based apheresis platelet inventory management model , 2014, Transfusion.

[9]  N. Blumberg,et al.  Optimizing platelet transfusion therapy. , 2004, Blood reviews.

[10]  Werner Römisch,et al.  Scenario Reduction Algorithms in Stochastic Programming , 2003, Comput. Optim. Appl..

[11]  Jeroen Beliën,et al.  Supply chain management of blood products: A literature review , 2012, Eur. J. Oper. Res..

[12]  Mart P Janssen,et al.  Demographic changes and predicting blood supply and demand in the Netherlands , 2010, Transfusion.

[13]  Eamonn Ferguson,et al.  Predicting future blood donor returns: past behavior, intentions, and observer effects. , 2002, Health psychology : official journal of the Division of Health Psychology, American Psychological Association.

[14]  S. Glynn,et al.  Convenience, the bane of our existence, and other barriers to donating , 2006, Transfusion.

[15]  T. Liao,et al.  A new age-based replenishment policy for supply chain inventory optimization of highly perishable products , 2013 .

[16]  Jan van der Wal,et al.  Blood platelet production: Optimization by dynamic programming and simulation , 2007, Comput. Oper. Res..

[17]  Kenneth E. Kendall,et al.  Improving perishable product inventory management using goal programming , 1980 .

[18]  J. Wal,et al.  Blood platelet production with breaks : optimization by SDP and simulation , 2009 .

[19]  Feryal Erhun,et al.  Improving platelet supply chains through collaborations between blood centers and transfusion services , 2009, Transfusion.

[20]  John B. Jennings,et al.  Blood Bank Inventory Control , 1973 .

[21]  Hans-Otto Günther,et al.  Multi-objective integrated production and distribution planning of perishable products , 2012 .

[22]  Steven Nahmias,et al.  The Fixed-Charge Perishable Inventory Problem , 1978, Oper. Res..

[23]  W. Pierskalla Supply Chain Management of Blood Banks , 2005 .

[24]  Antonio J. Conejo,et al.  Decomposition Techniques in Mathematical Programming: Engineering and Science Applications , 2006 .

[25]  M. Peetermans,et al.  Reactions to platelet transfusion: the effect of the storage time of the concentrate , 1992, Transfusion Medicine.

[26]  T. Lister,et al.  Use of leucocyte‐poor blood components and HLA‐matched‐platelet donors to prevent HLA alloimmunization , 1986, British journal of haematology.

[27]  Okan Örsan Özener,et al.  Coordinating collection and appointment scheduling operations at the blood donation sites , 2015, Comput. Ind. Eng..

[28]  Alan Scheller-Wolf,et al.  Blood platelet inventory management with protection levels , 2015, Eur. J. Oper. Res..

[29]  N. Sahinidis,et al.  Optimization in Process Planning under Uncertainty , 1996 .

[30]  Nikolaos V. Sahinidis,et al.  Optimization under uncertainty: state-of-the-art and opportunities , 2004, Comput. Chem. Eng..

[31]  Martin W. P. Savelsbergh,et al.  Production , Manufacturing and Logistics Vendor managed inventory for environments with stochastic product usage , 2009 .

[32]  Costas D. Maranas,et al.  Managing demand uncertainty in supply chain planning , 2003, Comput. Chem. Eng..

[33]  Armand Baboli,et al.  Production , Manufacturing and Logistics A stochastic aggregate production planning model in a green supply chain : con ‐ sidering flexible lead times , nonlinear purchase and shortage cost functions , 2013 .

[34]  L. C. Leung,et al.  Inventory Management of Platelets in Hospitals: Optimal Inventory Policy for Perishable Products with Regular and Optional Expedited Replenishments , 2011 .

[35]  R. Aster,et al.  Effect of anticoagulant and ABO incompatibility on recovery of transfused human platelets. , 1965, Blood.

[36]  R. Storb,et al.  ABO‐INCOMPATIBLE MARROW TRANSPLANTS , 1982, Transplantation.

[37]  Grisselle Centeno,et al.  Stochastic integer programming models for reducing wastages and shortages of blood products at hospitals , 2015, Comput. Oper. Res..

[38]  T. Sawik Selection of resilient supply portfolio under disruption risks , 2013 .

[39]  B. Abbasi,et al.  A two-stage stochastic programming model for inventory management in the blood supply chain , 2017 .

[40]  A. Gharehbaghian,et al.  Status of blood transfusion services in Iran , 2008, Asian journal of transfusion science.

[41]  Paolo Rebulla,et al.  Transfusion Medicine 2 Platelet transfusions , 2007 .

[42]  Alexander Shapiro,et al.  Stochastic programming by Monte Carlo simulation methods , 2000 .

[43]  M. I. M. Wahab,et al.  Approximate dynamic programming modeling for a typical blood platelet bank , 2014, Comput. Ind. Eng..

[44]  Martin Grunow,et al.  Integrated production and distribution planning for perishable food products , 2011, Flexible Services and Manufacturing Journal.

[45]  J. G. van der Bom,et al.  Effect of platelet storage time on platelet measurements: a systematic review and meta‐analyses , 2016, Vox sanguinis.

[46]  Angel B. Ruiz,et al.  Disease Prevention and Control Plans: State of the Art and Future Research Guideline , 2016 .

[47]  Jeroen Belien,et al.  Supply chain management of blood products: A literature review , 2012 .

[48]  Saeed Yaghoubi,et al.  Robust optimization model for integrated procurement, production and distribution in platelet supply chain , 2017 .

[49]  J. Cid,et al.  Platelet Transfusion - the Art and Science of Compromise , 2013, Transfusion Medicine and Hemotherapy.

[50]  Mir Saman Pishvaee,et al.  A stochastic programming approach to integrated water supply and wastewater collection network design problem , 2017, Comput. Chem. Eng..

[51]  Mir Saman Pishvaee,et al.  Blood supply chain network design considering blood group compatibility under uncertainty , 2017, Int. J. Prod. Res..

[52]  René Haijema,et al.  Blood platelet production: a novel approach for practical optimization , 2009, Transfusion.

[53]  P. Rebulla Refractoriness to platelet transfusion , 2002, Current opinion in hematology.

[54]  William P. Pierskalla,et al.  Optimal Issuing Policies for Perishable Inventory , 1972 .

[55]  T. Akita,et al.  Predicting future blood supply and demand in Japan with a Markov model: application to the sex‐ and age‐specific probability of blood donation , 2016, Transfusion.

[56]  Jitka Dupacová,et al.  Scenario reduction in stochastic programming , 2003, Math. Program..

[57]  N. Schmitz,et al.  Blood stem cells compared with bone marrow as a source of hematopoietic cells for allogeneic transplantation. IBMTR Histocompatibility and Stem Cell Sources Working Committee and the European Group for Blood and Marrow Transplantation (EBMT). , 2000, Blood.

[58]  K. Sims,et al.  Intravascular hemolysis secondary to ABO incompatible platelet products. An underrecognized transfusion reaction. , 1999, American journal of clinical pathology.

[59]  R. Kurup,et al.  A study on blood product usage and wastage at the public hospital, Guyana , 2016, BMC Research Notes.

[60]  Martin W. P. Savelsbergh,et al.  Delivery strategies for blood products supplies , 2009, OR Spectr..

[61]  Pedro Amorim,et al.  Production Planning of Perishable Food Products by Mixed-Integer Programming , 2015 .