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

Delorme, M., Manlove, D. and Smeets, T. (2023) Half-cycle: a new formulation for modelling kidney exchange problems. Operations Research Letters, 51(3), pp. 234-241. (doi: 10.1016/j.orl.2023.02.009)

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.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Manlove, Professor David
• Authors: Delorme, M., Manlove, D., and Smeets, T.
• College/School: College of Science and Engineering > School of Computing Science
• Journal Name: Operations Research Letters
• Publisher: Elsevier
• ISSN: 0167-6377
• ISSN (Online): 1872-7468
• Published Online: 28 February 2023
• Copyright Holders: Copyright © 2023 The Authors
• First Published: First published in Operations Research Letters 51(3): 234-241
• Publisher Policy: Reproduced under a Creative Commons License