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Stable Marriage Problems with Ties and Incomplete Preferences: An Empirical Comparison of ASP, SAT, ILP, CP, and Local Search Methods
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Selin Eyupoglu, Muge Fidan, Yavuz Gulesen, Ilayda Begum Izci, Berkan Teber, Baturay Yilmaz, Ahmet Alkan, Esra Erdem

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ResearcharXiv cs.AI

Stable Marriage Problems with Ties and Incomplete Preferences: An Empirical Comparison of ASP, SAT, ILP, CP, and Local Search Methods

arXiv:2108.05165v3 Announce Type: replace Abstract: We study a variation of the Stable Marriage problem, where every man and every woman express their preferences as preference lists which may be incomplete and contain ties. This problem is called the Stable Marriage problem with Ties and Incomplete preferences (SMTI). We consider three optimization variants of SMTI, Max Cardinality, Sex-Equal and Egalitarian, and empirically compare the following methods to solve them: Answer Set Programming, Constraint Programming, Integer Linear Programming. For Max Cardinality, we compare these methods with Local Search methods as well. We also empirically compare Answer Set Programming with Propositional Satisfiability, for SMTI instances.

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This story was published by arXiv cs.AI and written by Selin Eyupoglu, Muge Fidan, Yavuz Gulesen, Ilayda Begum Izci, Berkan Teber, Baturay Yilmaz, Ahmet Alkan, Esra Erdem. SyncAI.news shows a preview; the complete article is on the publisher's site.

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