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http://dx.doi.org/10.7236/JIIBC.2018.18.4.149

An Optimal Algorithm for Stable Marriage Problem  

Lee, Sang-Un (Dept. of Multimedia Eng., Gangneung-Wonju National University)
Publication Information
The Journal of the Institute of Internet, Broadcasting and Communication / v.18, no.4, 2018 , pp. 149-154 More about this Journal
Abstract
There is well known algorithm is a Gale-Shapley algorithm(GSA) for stable marriage problem. The GSA is performed as each man propose to his most favorite woman(MP), then the woman accepts more than one proposal rejects all but her favorite from among those who have proposed to her. This algorithm always gets a stable set of marriages with man-optimal and woman-pessimal. But the woman proposal and man-accept/reject method(WP) is can be get the distinct result. Also, the optimal stable matching may be fail using MP or WP. This paper suggests always get the optimal stable matching on all occasions in order to overcome the shortcomings of MP and WP. The proposed algorithm perform k-opt, k-women exchange with each other for the result of delete at less preference in each woman from MP result. As a result of applied to various experimental data, this algorithm can be get the optimal stable matching that the MP or WP failed to it.
Keywords
Stable; Marriage problem; Matching; k-optimization; Optimal;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
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1 S. U. Lee, "Optimal Solution of a Large- scale Travelling Salesman Problem applying DNN and k-opt," The Journal of The Institute of Internet, Broadcasting and Communication (IIBC), Vol. 15, No. 4, pp.249-257, Aug. 2015, doi:10.7236/JIIBC.2015.15.4.249   DOI
2 R. W. Irving, P. Leather and D. Gusfield, "An Efficient Algorithm for the Optimal Stable Marriage," Journal of the ACM, Vol. 34, No. 3, pp. 532-543, Jul. 1987, 10.1145/28869.28871   DOI
3 S. U. Lee, "A Degree-Constrained Minimum Spanning Tree Algorithm Using k-opt," Journal of The Korea Society of Computer and Information, Vol. 20, No. 5, pp. 31-39, May 2015, doi:10.9708/jksci.2015.20.5.031   DOI
4 D. Gale and L. S. Shapley, L. S. "College Admissions and the Stability of Marriage," American Mathematical Monthly, Vol. 69, No. 1, pp. 9-14, Jan. 1962, doi:10.1080/ 00029890.1962.11989827   DOI
5 K. Iwama and S. Miyazaki, "A Survey of the Stable Marriage Problem and Its Variants," International Conference on Informatics Education and Research for Knowledge-Circulating Society, pp. 131-136, Jan. 2008, doi:10.1109/ ICKS.2008.7   DOI
6 S. U. Lee, "The Extended k-opt Algorithm for Traveling Salesman Problem," Journal of The Korea Society of Computer and Information, Vol. 17, No. 10, pp. 155-165, Oct. 2012, doi:10.9708/jksci/2012.17.10.155   DOI