### 博碩士論文 962201019 完整後設資料紀錄

 DC 欄位 值 語言 DC.contributor 數學系 zh_TW DC.creator 顏志瑜 zh_TW DC.creator Chih-yu Yen en_US dc.date.accessioned 2010-7-21T07:39:07Z dc.date.available 2010-7-21T07:39:07Z dc.date.issued 2010 dc.identifier.uri http://ir.lib.ncu.edu.tw:88/thesis/view_etd.asp?URN=962201019 dc.contributor.department 數學系 zh_TW DC.description 國立中央大學 zh_TW DC.description National Central University en_US dc.description.abstract 本文主要在於探討穩定配對中的穩定婚姻問題，提及穩定男伴、拆散配對以及P循環的概念，重新推導 Knuth, Motwani 與 Pittel 的結論: 對任何女生的穩定男伴為至少 max(0,(1/2-epsilon)lnn ，最多為 (1+epsilon)lnn 個的機率趨近 1，當n → ∞ 時，其中 0< varepsilon <1 。並介紹兩種方法找到所有的穩定配對，透過 C++ 模擬結果比較各方法的優缺點，並與理論值作比對。 zh_TW dc.description.abstract In this paper we study the stable marriage and stable husbands problems of stable matching, using the concept of breakmarriage and p-cycle, and revisit the result of Knuth ,Motwani and, Pittel : any particular girl has at least max(0, (1/2−epsilon) ln n) and at most (1+epsilon) ln n different husbands, with probability approaching 1 as n → ∞, if 0 < epsilin < 1. We introduce two methods to find all stable matchings and simulate in C++ programming language to compare these two methods and theoretical results. en_US DC.subject 穩定婚姻 zh_TW DC.subject 穩定配偶 zh_TW DC.subject stable marriage en_US DC.subject stable pairs en_US DC.title 穩定婚姻及穩定配偶的模擬 zh_TW dc.language.iso zh-TW zh-TW DC.title The Simulation of Stable Marriage and Stable Pairs en_US DC.type 博碩士論文 zh_TW DC.type thesis en_US DC.publisher National Central University en_US