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A Heuristic Repair Algorithm for the Maximum Stable Marriage Problem with Ties and Incomplete Lists
Authors: Hoang Huu Viet, Nguyen Thi Uyen, Son Thanh Cao, TaeChoong Chung
334    2
Advances in Artificial Intelligence
: 13151     : 494–506
: https://link.springer.com/chapter/10.1007/978-3-030-97546-3_40
: 1067-c23.pdf
Publishing year: 3/2022
This paper proposes a heuristic repair algorithm to find a maximum weakly stable matching for the stable marriage problem with ties and incomplete lists. Our algorithm is designed including a wellknown Gale-Shapley algorithm to find a stable matching for the stable marriage problem with ties and incomplete lists and a heuristic repair function to improve the found stable matching in terms of maximum size. Experimental results for large randomly generated instances of the problem showed that our algorithm is efficient in terms of both execution time and solution quality for solving the problem.
Gale-Shapley algorithm, Heuristic repair, SMTI, Stable marriage problem
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