The Stable marriage problem - structure and algorithms
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منابع مشابه
The stable marriage problem with restricted pairs
A stable matching is a complete matching of men and women such that no man and woman who are not partners both prefer each other to their actual partners under the matching. In an instance of the STABLE MARRIAGE problem, each of the n men and n women ranks the members of the opposite sex in order of preference. It is well known that at least one stable matching exists for every STABLE MARRIAGE ...
متن کاملA Parallel Approach to the Stable Marriage Problem
This paper describes two parallel algorithms for the stable marriage problem implemented on a MIMD parallel computer. The algorithms are tested against sequential algorithms on randomly generated and worst-case instances. The results clearly show that the combination fo a very simple problem and a commercial MIMD system results in parallel algorithms which are not competitive with sequential al...
متن کاملOn the Multidimensional Stable Marriage Problem
We provide a problem definition of the stable marriage problem for a general number of parties p under a natural preference scheme in which each person has simple lists for the other parties. We extend the notion of stability in a natural way and present so called elemental and compound algorithms to generate matchings for a problem instance. We demonstrate the stability of matchings generated ...
متن کاملStability, Optimality and Manipulation in Matching Problems with Weighted Preferences
The stable matching problem (also known as the stable marriage problem) is a well-known problem of matching men to women, so that no man and woman, who are not married to each other, both prefer each other. Such a 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....
متن کاملStable marriage problems with quantitative preferences
The stable marriage problem is a well-known problem of matching men to women so that no man and woman, who are not married to each other, both prefer each other. Such a 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. In the classical stable marriage problem, both...
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