The Study of Stable Marriage Problem with Ties and Incomplete Bounded Length Preference List under Social Stability
نویسندگان
چکیده
منابع مشابه
Stable Marriage Problem with Ties and Incomplete bounded length preference list under social stability
We consider a variant of socially stable marriage problem where preference lists may be incomplete, may contain ties and may have bounded length. In real world application like NRMP and Scottish medical matching scheme such restrictions arise very frequently where set of agents (man/woman) is very large and providing a complete and strict order preference list is practically in-feasible. In pre...
متن کاملStable Marriage with Ties and Bounded Length Preference Lists
We consider variants of the classical stable marriage problem in which preference lists may contain ties, and may be of bounded length. Such restrictions arise naturally in practical applications, such as centralised matching schemes that assign graduating medical students to their first hospital posts. In such a setting, weak stability is the most common solution concept, and it is known that ...
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The classic stable marriage (SM) problem can be stated as below: Given n men and n women, where each person has ranked all members of the opposite sex with a unique number between 1 and n in order of preference, marry the men and women together such that there are no two people of opposite sex who would both rather have each other than their current partners. If there are no such people, all th...
متن کاملStable Marriage with Incomplete Lists and Ties
The original stable marriage problem requires all men and women to submit a complete and strictly ordered preference list. This is obviously often unrealistic in practice, and several relaxations have been proposed, including the following two common ones: one is to allow an incomplete list, i.e., a man is permitted to accept only a subset of the women and vice versa. The other is to allow a pr...
متن کاملAn Empirical Study of the Stable Marriage Problem with Ties and Incomplete Lists
We present the first complete algorithm for the SMTI problem, the stable marriage problem with ties and incomplete lists. We do this in the form of a constraint programming encoding of the problem. With this we are able to carry out the first empirical study of the complete solution of SMTI instances. In the stable marriage problem (SM) [5] we have men and women. Each man ranks the women, givin...
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ژورنال
عنوان ژورنال: International Journal of Computer Science and Information Technology
سال: 2016
ISSN: 0975-3826,0975-4660
DOI: 10.5121/ijcsit.2016.8106