Pareto optimality in the kidney exchange problem
Kybernetika, Tome 44 (2008) no. 3, pp. 373-384.

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To overcome the shortage of cadaveric kidneys available for transplantation, several countries organize systematic kidney exchange programs. The kidney exchange problem can be modelled as a cooperative game between incompatible patient-donor pairs whose solutions are permutations of players representing cyclic donations. We show that the problems to decide whether a given permutation is not (weakly) Pareto optimal are NP-complete.
Classification : 68Q25, 91A06, 91A12, 91B68
Keywords: barter exchange; kidney transplantation; Pareto optimality; NP- completeness
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     author = {Borbe\v{l}ov\'a, Viera and Cechl\'arov\'a, Katar{\'\i}na},
     title = {Pareto optimality in the kidney exchange problem},
     journal = {Kybernetika},
     pages = {373--384},
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     volume = {44},
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     zbl = {1154.91579},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2008__44_3_a7/}
}
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Borbeľová, Viera; Cechlárová, Katarína. Pareto optimality in the kidney exchange problem. Kybernetika, Tome 44 (2008) no. 3, pp. 373-384. http://geodesic.mathdoc.fr/item/KYB_2008__44_3_a7/