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Local Search Approaches in Stable Matching Problems
The stable marriage (SM) problem has a wide variety of practical applications, ranging from matching resident doctors to hospitals, to matching students to schools or, more generally, to any two-sided market.
Toby Walsh +4 more
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Matching Transportation Ontologies with Word2Vec and Alignment Extraction Algorithm
The development of intelligent transportation systems (ITSs) faces the challenge of integrating data from multiple unrelated sources. As one of the core technologies of knowledge integration in ITS, an ontology typically provides a normative definition ...
Xingsi Xue +5 more
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Blind-spots, where wireless signals do not reach within the coverage range, often emerge in a dynamic environment due to obstacles, geographical location or mobility of cellular users (CUs).
Adeel Iqbal +9 more
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Randomized approximation of the stable marriage problem
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Magnús M. Halldórsson +3 more
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Scaling Behavior in the Stable Marriage Problem [PDF]
6 pages, revtex, 3 figures. To appear in J. de Physique I, vol 7, No 12 (December)
Oméro, Marie-José +3 more
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Improving Man-Optimal Stable Matchings by Minimum Change of Preference Lists
In the stable marriage problem, any instance admits the so-called man-optimal stable matching, in which every man is assigned the best possible partner.
Shuichi Miyazaki +4 more
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A critical part of Automated Material Handling Systems (AMHS) is the task allocation and dispatching strategy employed. In order to better understand and investigate this component, we here present an extensive experimental evaluation of three different ...
Fabian Maas genannt Bermpohl +2 more
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Popular Matchings in the Stable Marriage Problem
We consider the problem of computing a maximum cardinality popular matching in a bipartite graph G=(A@?B,E) where each vertex u@?A@?B ranks its neighbors in a strict order of preference. Such a graph is called an instance of the stable marriage problem with strict preferences and incomplete lists. A matching M^@? is popular if for every matching M in G,
Chien-Chung Huang 0001 +1 more
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Linear Time Local Approximation Algorithm for Maximum Stable Marriage
We consider a two-sided market under incomplete preference lists with ties, where the goal is to find a maximum size stable matching. The problem is APX-hard, and a 3/2-approximation was given by McDermid [1]. This algorithm has a non-linear running time,
Zoltán Király
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A Note on the Uniqueness of Stable Marriage Matching
In this note we present some sufficient conditions for the uniqueness of a stable matching in the Gale-Shapley marriage classical model of even size. We also state the result on the existence of exactly two stable matchings in the marriage problem of odd
Drgas-Burchardt Ewa
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