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Kybernetika 44(3):373-384, 2008.

Pareto Optimality in the Kidney Exchange Problem

Viera Borbeľová and Katarína Cechlárová


Abstract:

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.


Keywords: barter exchange; kidney transplantation; Pareto optimality; NP-completeness;


AMS: 91A12; 91A06; 68Q25;


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BIB TeX

@article{kyb:2008:3:373-384,

author = {Borbe\v{l}ov\'{a}, Viera and Cechl\'{a}rov\'{a}, Katar\'\i{n}a },

title = {Pareto Optimality in the Kidney Exchange Problem},

journal = {Kybernetika},

volume = {44},

year = {2008},

number = {3},

pages = {373-384}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


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