A new branch-and-price approach for the kidney exchange problem

The kidney exchange problem (KEP) is an optimization problem arising in the framework of transplant programs that allow exchange of kidneys between two or more incompatible patient-donor pairs. In this paper an approach based on a new decomposition model and branch-and-price is proposed to solve lar...

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Bibliographic Details
Main Author: Klimentova, Xenia (author)
Other Authors: Alvelos, Filipe Pereira e (author), Viana, Ana (author)
Format: conferencePaper
Language:eng
Published: 2014
Subjects:
Online Access:http://hdl.handle.net/1822/53262
Country:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/53262
Description
Summary:The kidney exchange problem (KEP) is an optimization problem arising in the framework of transplant programs that allow exchange of kidneys between two or more incompatible patient-donor pairs. In this paper an approach based on a new decomposition model and branch-and-price is proposed to solve large KEP instances. The optimization problem considers, hierarchically, the maximization of the number of transplants and the minimization of the size of exchange cycles. Computational comparison of different variants of branch-and-price for the standard and the proposed objective functions are presented. The results show the efficiency of the proposed approach for solving large instances.