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Half-cycle: A new formulation for modelling kidney exchange problems

Delorme,Maxence
; 
Manlove,David
; 
Smeets,Tom
Abstract
We introduce the half-cycle formulation (HCF), a new integer programming (IP) model for the kidney exchange problem, which has life-saving applications. In HCF, a cycle (i.e., set of kidney swaps) is represented by two compatible halves. After giving several algorithmic enhancements for HCF, we show through extensive computational experiments with an IP solver that our new model outperforms existing formulations when the cycle size limit is set to 4, 5, or 6, depending on the density of the compatibility graph.
Description
Funding Information: We would like to thank the anonymous reviewers for their valuable comments that have helped to improve the presentation of this paper. Publisher Copyright: © 2023 The Author(s)
Date
2023-05
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Tilburg University Research Output Collection
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Keywords
Cycle formulation, Integer programming, Kidney exchange, Preprocessing, Reduced-cost variable fixing
Citation
Delorme, M, Manlove, D & Smeets, T 2023, 'Half-cycle : A new formulation for modelling kidney exchange problems', Operations Research Letters, vol. 51, no. 3, pp. 234-241. https://doi.org/10.1016/j.orl.2023.02.009
URI
https://hdl.handle.net/20.500.14602/78988
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