Robust optimization model for integrated procurement, production and distribution in platelet supply chain

This paper presents an integrated platelet supply chain where demand is age-differentiated according to the type of patient. At first, considering the apheresis method and traditional production platelet method, two mixed-integer programming models are developed based on FIFO and LIFO issuing policies. Since in practice fresh platelets have been preferred, a bi-objective model has been then developed in which the first objective maximizes the freshness of the units delivered and the second minimizes the total cost. To cope with uncertain demand, a robust optimization approach is presented and the application of the proposed model is discussed in a case study.

[1]  Yan Shi,et al.  Monitoring and assessing fruit freshness in IOT-based e-commerce delivery using scenario analysis and interval number approaches , 2016, Inf. Sci..

[2]  John T. Blake An Introduction to Platelet Inventory and Ordering Problems , 2011 .

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

[4]  Alysson M. Costa,et al.  Influence of consumer purchasing behaviour on the production planning of perishable food , 2014, OR Spectr..

[5]  R. Fisher A mathematical Examination of the Methods of determining the Accuracy of Observation by the Mean Error, and by the Mean Square Error , 1920 .

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

[7]  Ching-Ter Chang Revised multi-choice goal programming , 2008 .

[8]  G. Prastacos Blood Inventory Management: An Overview of Theory and Practice , 1984 .

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

[10]  Babak Abbasi,et al.  On the Issuing Policies for Perishable Items such as Red Blood Cells and Platelets in Blood Service , 2014, Decis. Sci..

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

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

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

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

[15]  El Houssaine Aghezzaf,et al.  Models for robust tactical planning in multi-stage production systems with uncertain demands , 2010, Comput. Oper. Res..

[16]  Miika Linna,et al.  Variation of platelet production and discard rates in 17 blood centers representing 10 European countries from 2000 to 2002 , 2006, Transfusion.

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

[18]  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.

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

[20]  Kenneth E. Kendall,et al.  Formulating Blood Rotation Policies with Multiple Objectives , 1980 .

[21]  M. Crowther,et al.  The American Society of Hematology 2011 evidence-based practice guideline for immune thrombocytopenia. , 2011, Blood.

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

[23]  Irem Ozkarahan,et al.  COLLABORATIVE PRODUCTION-DISTRIBUTION PLANNING IN SUPPLY CHAIN: A FUZZY GOAL PROGRAMMING APPROACH , 2008 .

[24]  Henrique Rego,et al.  IT Services Management and ISO 20000: A Case Study in an IT Remote Support Company , 2014 .

[25]  E Seifried,et al.  How much blood is needed? , 2011, Vox sanguinis.

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

[27]  Allen L. Soyster,et al.  Technical Note - Convex Programming with Set-Inclusive Constraints and Applications to Inexact Linear Programming , 1973, Oper. Res..

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

[29]  Armin Jabbarzadeh,et al.  Dynamic supply chain network design for the supply of blood in disasters: A robust model with real world application , 2014 .

[30]  Jeffrey McCullough,et al.  Dose of prophylactic platelet transfusions and prevention of hemorrhage. , 2010, The New England journal of medicine.

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

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

[33]  E. Seifried,et al.  Buffy‐coat‐derived pooled platelet concentrates and apheresis platelet concentrates: which product type should be preferred? , 2010, Vox sanguinis.

[34]  T. Sowlati,et al.  A hybrid multi-stage stochastic programming-robust optimization model for maximizing the supply chain of a forest-based biomass power plant considering uncertainties , 2016 .

[35]  Rafael Caballero,et al.  Meta-goal programming , 2002, Eur. J. Oper. Res..

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

[37]  Marie-Soleil Cloutier,et al.  Why Do Blood Donors Lapse or Reduce Their Donation's Frequency? , 2016, Transfusion medicine reviews.

[38]  K. Kanchanasuntorn,et al.  AN APPROXIMATE PERIODIC MODEL FOR FIXED-LIFE PERISHABLE PRODUCTS IN A TWO-ECHELON INVENTORY-DISTRIBUTION SYSTEM , 2006 .

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

[40]  S. Kleinman,et al.  Platelet transfusion: a systematic review of the clinical evidence , 2015, Transfusion.

[41]  Pedro Amorim,et al.  Lot sizing versus batching in the production and distribution planning of perishable goods , 2013 .

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

[43]  Mir-Bahador Aryanezhad,et al.  A multi-objective robust optimization model for multi-product multi-site aggregate production planning in a supply chain under uncertainty , 2011 .

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

[45]  Keming Wang,et al.  Age-based policy for blood transshipment during blood shortage , 2015 .

[46]  T. Simon,et al.  The collection of platelets by apheresis procedures. , 1994, Transfusion medicine reviews.

[47]  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.

[48]  Robert J. Vanderbei,et al.  Robust Optimization of Large-Scale Systems , 1995, Oper. Res..

[49]  Ching-Ter Chang,et al.  Multi-choice goal programming , 2007 .

[50]  S. Hopewell,et al.  Prophylactic platelet transfusion for prevention of bleeding in patients with haematological disorders after chemotherapy and stem cell transplantation. , 2012, The Cochrane database of systematic reviews.

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

[52]  Ruud H. Teunter,et al.  Review of inventory systems with deterioration since 2001 , 2012, Eur. J. Oper. Res..

[53]  D P Connelly,et al.  Automatic prediction of platelet utilization by time series analysis in a large tertiary care hospital. , 1985, American journal of clinical pathology.

[54]  A. Charnes,et al.  Management Models and Industrial Applications of Linear Programming , 1961 .

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

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

[57]  Felix T.S. Chan,et al.  A robust inventory routing policy under inventory inaccuracy and replenishment lead-time , 2016 .

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

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

[60]  Steven Nahmias,et al.  Perishable Inventory Theory: A Review , 1982, Oper. Res..