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A probabilistic version of the stable marriage problem

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Abstract

A new interpretation of the stable marriage problem posed by Gale and Shapley is presented. This approach enables one to solve efficiently this version of the assignment problem when it is known that the preference information is inaccurate or when there is a need to reduce the computational requirements of the problem. Savings on the order of 30% for CPU time have been demonstrated in test cases.

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References

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This work was supported by the U.S. Army Research Office.

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Itoga, S.Y. A probabilistic version of the stable marriage problem. BIT 23, 161–169 (1983). https://doi.org/10.1007/BF02218437

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  • DOI: https://doi.org/10.1007/BF02218437

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