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An efficient method for kidney allocation problem: a credibility-based fuzzy common weights data envelopment analysis approach

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  • Sahar Ahmadvand

    (Iran University of Science & Technology)

  • Mir Saman Pishvaee

    (Iran University of Science & Technology)

Abstract

Given the perennial imbalance and chronic scarcity between the demand for and supply of available organs, organ allocation is one of the most critical decisions in the management of organ transplantation networks. Organ allocation systems undergo rapid revisions for the sake of improved outcomes in terms of both equity and medical efficiency. This paper presents a Data Envelopment Analysis (DEA)-based model to evaluate the efficiency of possible patient-organ pairs for kidney allocation in order to enhance the fitness of organ allocation under inherent uncertainty in such problem. Eligible patient-kidney pairs are regarded as decision making units (DMUs) in a Credibility-based Fuzzy Common Weights DEA (CFCWDEA) approach and are ranked based on efficiency scores. Using a common set of weights for all DMUs ensures a high degree of fairness in the assessment and ranking of DMUs. The proposed model is also the first allocation method capable of coping with the vague and intervallic medical and nonmedical allocation factors by the aid of fuzzy programming. Verification and validation of the proposed approach are performed in two steps using a real case study from the Iranian kidney allocation system. First, the superiority of the proposed deterministic model in enhancing allocation outcomes is demonstrated and analyzed. Second, the applicability of the proposed fuzzy DEA method is demonstrated using a series of data realizations for different credibility levels.

Suggested Citation

  • Sahar Ahmadvand & Mir Saman Pishvaee, 2018. "An efficient method for kidney allocation problem: a credibility-based fuzzy common weights data envelopment analysis approach," Health Care Management Science, Springer, vol. 21(4), pages 587-603, December.
    • Handle: RePEc:kap:hcarem:v:21:y:2018:i:4:d:10.1007_s10729-017-9414-6
    DOI: 10.1007/s10729-017-9414-6
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    1. Stefanos A. Zenios & Glenn M. Chertow & Lawrence M. Wein, 2000. "Dynamic Allocation of Kidneys to Candidates on the Transplant Waiting List," Operations Research, INFORMS, vol. 48(4), pages 549-569, August.
    2. Joe Zhu, 2014. "Quantitative Models for Performance Evaluation and Benchmarking," International Series in Operations Research and Management Science, Springer, edition 3, number 978-3-319-06647-9, April.
    3. Nan Kong & Andrew J. Schaefer & Brady Hunsaker & Mark S. Roberts, 2010. "Maximizing the Efficiency of the U.S. Liver Allocation System Through Region Design," Management Science, INFORMS, vol. 56(12), pages 2111-2122, December.
    4. Alvin E. Roth & Tayfun Sönmez & M. Utku Ünver, 2004. "Kidney Exchange," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(2), pages 457-488.
    5. Xuanming Su & Stefanos A. Zenios, 2005. "Patient Choice in Kidney Allocation: A Sequential Stochastic Assignment Model," Operations Research, INFORMS, vol. 53(3), pages 443-455, June.
    6. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    7. Oguzhan Alagoz & Lisa M. Maillart & Andrew J. Schaefer & Mark S. Roberts, 2004. "The Optimal Timing of Living-Donor Liver Transplantation," Management Science, INFORMS, vol. 50(10), pages 1420-1430, October.
    8. Joe Zhu, 2014. "Data Envelopment Analysis," International Series in Operations Research & Management Science, in: Quantitative Models for Performance Evaluation and Benchmarking, edition 3, chapter 1, pages 1-9, Springer.
    9. Li, Xiao-Bai & Reeves, Gary R., 1999. "A multiple criteria approach to data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 115(3), pages 507-517, June.
    10. Sinuany-Stern, Zilla & Friedman, Lea, 1998. "DEA and the discriminant analysis of ratios for ranking units," European Journal of Operational Research, Elsevier, vol. 111(3), pages 470-478, December.
    11. Oguzhan Alagoz & Lisa M. Maillart & Andrew J. Schaefer & Mark S. Roberts, 2007. "Determining the Acceptance of Cadaveric Livers Using an Implicit Model of the Waiting List," Operations Research, INFORMS, vol. 55(1), pages 24-36, February.
    12. Israel David & Uri Yechiali, 1995. "One-Attribute Sequential Assignment Match Processes in Discrete Time," Operations Research, INFORMS, vol. 43(5), pages 879-884, October.
    13. Bruce Hollingsworth, 2008. "The measurement of efficiency and productivity of health care delivery," Health Economics, John Wiley & Sons, Ltd., vol. 17(10), pages 1107-1128, October.
    14. Oguzhan Alagoz & Andrew J. Schaefer & Mark S. Roberts, 2009. "Optimizing Organ Allocation and Acceptance," Springer Optimization and Its Applications, in: H. Edwin Romeijn & Panos M. Pardalos (ed.), Handbook of Optimization in Medicine, chapter 1, pages 1-24, Springer.
    15. Cook, Wade D. & Kress, Moshe, 1991. "A multiple criteria decision model with ordinal preference data," European Journal of Operational Research, Elsevier, vol. 54(2), pages 191-198, September.
    16. Xuanming Su & Stefanos A. Zenios, 2006. "Recipient Choice Can Address the Efficiency-Equity Trade-off in Kidney Transplantation: A Mechanism Design Model," Management Science, INFORMS, vol. 52(11), pages 1647-1660, November.
    17. Dimitris Bertsimas & Vivek F. Farias & Nikolaos Trichakis, 2013. "Fairness, Efficiency, and Flexibility in Organ Allocation for Kidney Transplantation," Operations Research, INFORMS, vol. 61(1), pages 73-87, February.
    18. Wade D. Cook & Moshe Kress, 1990. "A Data Envelopment Model for Aggregating Preference Rankings," Management Science, INFORMS, vol. 36(11), pages 1302-1310, November.
    19. Israel David & Uri Yechiali, 1985. "A Time-dependent Stopping Problem with Application to Live Organ Transplants," Operations Research, INFORMS, vol. 33(3), pages 491-504, June.
    20. A. Charnes & W. W. Cooper, 1959. "Chance-Constrained Programming," Management Science, INFORMS, vol. 6(1), pages 73-79, October.
    21. Jae-Hyeon Ahn & John C. Hornberger, 1996. "Involving Patients in the Cadaveric Kidney Transplant Allocation Process: A Decision-Theoretic Perspective," Management Science, INFORMS, vol. 42(5), pages 629-641, May.
    22. Mehmet C. Demirci & Andrew J. Schaefer & H. Edwin Romeijn & Mark S. Roberts, 2012. "An Exact Method for Balancing Efficiency and Equity in the Liver Allocation Hierarchy," INFORMS Journal on Computing, INFORMS, vol. 24(2), pages 260-275, May.
    23. James E. Stahl & Nan Kong & Steven M. Shechter & Andrew J. Schaefer & Mark S. Roberts, 2005. "A Methodological Framework for Optimally Reorganizing Liver Transplant Regions," Medical Decision Making, , vol. 25(1), pages 35-46, January.
    24. Pishvaee, M.S. & Razmi, J. & Torabi, S.A., 2014. "An accelerated Benders decomposition algorithm for sustainable supply chain network design under uncertainty: A case study of medical needle and syringe supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 67(C), pages 14-38.
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    Cited by:

    1. Amir Elalouf, 2022. "Israeli Medical Experts’ Knowledge, Attitudes, and Preferences in Allocating Donor Organs for Transplantation," IJERPH, MDPI, vol. 19(11), pages 1-17, June.
    2. Francisco Javier Santos Arteaga & Debora Di Caprio & David Cucchiari & Josep M Campistol & Federico Oppenheimer & Fritz Diekmann & Ignacio Revuelta, 2021. "Modeling patients as decision making units: evaluating the efficiency of kidney transplantation through data envelopment analysis," Health Care Management Science, Springer, vol. 24(1), pages 55-71, March.
    3. Pejman Peykani & Farhad Hosseinzadeh Lotfi & Seyed Jafar Sadjadi & Ali Ebrahimnejad & Emran Mohammadi, 2022. "Fuzzy chance-constrained data envelopment analysis: a structured literature review, current trends, and future directions," Fuzzy Optimization and Decision Making, Springer, vol. 21(2), pages 197-261, June.
    4. Alexandre Marinho & Claudia Affonso Silva Araújo, 2021. "Using data envelopment analysis and the bootstrap method to evaluate organ transplantation efficiency in Brazil," Health Care Management Science, Springer, vol. 24(3), pages 569-581, September.
    5. Kargar, Bahareh & Pishvaee, Mir Saman & Jahani, Hamed & Sheu, Jiuh-Biing, 2020. "Organ transportation and allocation problem under medical uncertainty: A real case study of liver transplantation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 134(C).

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