Accounting for Fairness in a Two-Stage Stochastic Programming Model for Kidney Exchange Programs

Hyunwoo Lee, Seokhyun Chung, Taesu Cheong and Sang Hwa Song
Additional contact information
Hyunwoo Lee: School of Industrial Management Engineering, Korea University, Seoul 02841, Korea
Seokhyun Chung: School of Industrial Management Engineering, Korea University, Seoul 02841, Korea
Taesu Cheong: School of Industrial Management Engineering, Korea University, Seoul 02841, Korea
Sang Hwa Song: Graduate School of Logistics, Incheon National University, Incheon 22012, Korea

IJERPH, 2018, vol. 15, issue 7, 1-16

Abstract: Kidney exchange programs, which allow a potential living donor whose kidney is incompatible with his or her intended recipient to donate a kidney to another patient in return for a kidney that is compatible for their intended recipient, usually aims to maximize the number of possible kidney exchanges or the total utility of the program. However, the fairness of these exchanges is an issue that has often been ignored. In this paper, as a way to overcome the problems arising in previous studies, we take fairness to be the degree to which individual patient-donor pairs feel satisfied, rather than the extent to which the exchange increases social benefits. A kidney exchange has to occur on the basis of the value of the kidneys themselves because the process is similar to bartering. If the matched kidneys are not of the level expected by the patient-donor pairs involved, the match may break and the kidney exchange transplantation may fail. This study attempts to classify possible scenarios for such failures and incorporate these into a stochastic programming framework. We apply a two-stage stochastic programming method using total utility in the first stage and the sum of the penalties for failure in the second stage when an exceptional event occurs. Computational results are provided to demonstrate the improvement of the proposed model compared to that of previous deterministic models.

Keywords: kidney exchange program; unfairness indicator; exceptional event; two-stage stochastic programming (search for similar items in EconPapers)
JEL-codes: I I1 I3 Q Q5 (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/1660-4601/15/7/1491/pdf (application/pdf)
https://www.mdpi.com/1660-4601/15/7/1491/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jijerp:v:15:y:2018:i:7:p:1491-:d:158026

Access Statistics for this article

IJERPH is currently edited by Ms. Jenna Liu

More articles in IJERPH from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().