A Sampling-Free Anticipatory Algorithm for the Kidney Exchange Problem

Research output: Chapter in Book/Report/Conference proceedingsChapterpeer-review

Abstract

Kidney exchange programs try to improve accessibility to kidney transplants by allowing incompatible patient-donor pairs to swap donors. Running such a program requires to solve an optimization problem (the Kidney Exchange Problem, or KEP) as new pairs arrive or, unfortunately, drop-off. The KEP is a stochastic online problem, and can greatly benefit from the use of anticipatory algorithms. Unfortunately, most such algorithms suffer from scalability issues due to the reliance on scenario sampling, limiting their practical applicability. Here, we recognize that the KEP allows for a sampling-free probabilistic model of future arrivals and drop-offs, which we capture via a so-called Abstract Exchange Graph (AEG). We show how an AEG-based approach can outperform sampling-based algorithms in terms of quality, while being comparable to a myopic algorithm in terms of scalability. While our current experimentation is preliminary and limited in scale, these qualities make our technique one of the few that can hope to address nation-wide programs with thousands of enrolled pairs.

Original languageEnglish
Title of host publicationIntegration of Constraint Programming, Artificial Intelligence, and Operations Research - 16th International Conference, CPAIOR 2019, Proceedings
EditorsKostas Stergiou, Louis-Martin Rousseau
PublisherSpringer Verlag
Pages146-162
Number of pages17
ISBN (Print)9783030192112
DOIs
Publication statusPublished - 2019
Event16th International Conference on the Integration of Constraint Programming, Artificial Intelligence, and Operations Research, CPAIOR 2019 - Thessaloniki, Greece
Duration: 4 Jun 20197 Jun 2019

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume11494 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference16th International Conference on the Integration of Constraint Programming, Artificial Intelligence, and Operations Research, CPAIOR 2019
Country/TerritoryGreece
CityThessaloniki
Period4/06/197/06/19

Keywords

  • Kidney Exchange Problem
  • Probabilistic model
  • Stochastic online optimization

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