Genetic Algorithm for the Stable Marriage Problem (SMP)
International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


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Research Paper | Computer Science & Engineering | China | Volume 5 Issue 3, March 2016 | Popularity: 6.7 / 10


     

Genetic Algorithm for the Stable Marriage Problem (SMP)

Isah Bello, Shi Lianshuan


Abstract: The Genetic Algorithm is one of the most important techniques used to solve many combinatorial optimization problems. This paper proposed a Genetic Algorithm for the Stable Marriage Problem. The goal of Stable Marriage Problem is to find a stable matching between two sets (men and women) with various preferences of each other. The Genetic Algorithm results for the Stable Marriage Problem were then compared to Gale-Shapley algorithms results. The result of the comparison shows that Genetic Algorithm has better results for happiness and egalitarian happiness. There is however a small drop in the number of stable pairs with the Genetic Algorithm as compared to the Gale-Shapley result. This goes in accordance with the theory since every person tries to get as best matching as possible and that is at the expense of stability (Caldarelli and Capocci, 2000).


Keywords: Genetic Algorithm, Stable Marriage Problem, Fitness function


Edition: Volume 5 Issue 3, March 2016


Pages: 939 - 944


DOI: https://www.doi.org/10.21275/NOV161892


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Isah Bello, Shi Lianshuan, "Genetic Algorithm for the Stable Marriage Problem (SMP)", International Journal of Science and Research (IJSR), Volume 5 Issue 3, March 2016, pp. 939-944, https://www.ijsr.net/getabstract.php?paperid=NOV161892, DOI: https://www.doi.org/10.21275/NOV161892

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