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研究生: 江長軒
Chang-Hsuan Chiang
論文名稱: 捐血序列資料之混合馬可夫及隱馬可夫模型分析
Mixture Markov Model and Hidden Markov Model for Blood Donation Sequence Data
指導教授: 林希偉
Shi-Woei Lin
口試委員: 王孔政
胡明哲
學位類別: 碩士
Master
系所名稱: 管理學院 - 工業管理系
Department of Industrial Management
論文出版年: 2018
畢業學年度: 106
語文別: 中文
論文頁數: 59
中文關鍵詞: 模型方法分群序列數據馬可夫模型隱馬可夫模型回返捐血
外文關鍵詞: Model-based clustering, Sequence data, Markov model, Hidden Markov model, Blood donation
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血液為維持人體生命的關鍵組織,輸血更是醫療上的重要治療措施,如何穩定血液來源以及管理其供需是近年來持續受到關注的議題。捐血中心透過招募新捐血者及鼓勵既有捐血者回返捐血來確保充足的血液供應,而後者對於穩定血液來源的影響更大。本研究使用台北捐血中心 之捐血數據,以2010年首次捐血者為研究對象,將其後續五年(2010年至2014年)之捐血紀錄以序列數據(sequence)呈現,並利用基於模型的分群方法,以混合馬可夫模型(mixture Markov model)和混合隱馬可夫模型(mixture hidden Markov model)進行分析,並使用邏輯迴歸(logistic regression)以及隨機森林(random forest)模型探討捐血者人口特徵及短期行為與長期捐血回返行為之關係。研究指出捐血人短期捐血軌跡是預測長期回返行為的重要指標,而年齡也是影響長期回返行為的顯著因子,高於四十歲的首次捐血者有較高機率成為忠誠的捐血者。透過隱馬可夫模型,本研究亦藉由捐血量及捐血頻率等多頻道資料分析各群捐血人其隱藏於可視資料背後之捐血型態轉移機率。


Blood transfusion is essential for certain medical treatments. In recent years, considerable concern has arisen over the issue of how to maintain stable supply of blood components. While a blood center can either hold blood drive campaigns to recruit new donors or encourage regular donors to return to ensure sufficient supply of blood, having a donor donate blood regularly seems to be more valuable than recruiting a new donor. In this study, sequence data which contains blood donation history of donors from 2010 to 2014 were analyzed. In particular, the donors who donate first time in the first half of 2010 were followed up for five years and model-based clustering methods, including mixture Markov model and mixture hidden Markov model, were used to identify the clusters of the donors. After obtaining and interpreting clusters, logistic regression models and random forest models were adopted to investigate how demographic characteristics and the short-term behavior affect a donor's long-term return behavior. Results show that the short-term donation behavior is the most important indicator for predicting a donor's long-term donation behavior. Furthermore, “age” is also significantly associated with a donor's behavior, and those who are older than 40 years old are more likely to return regularly.

摘要 I ABSTRACT II 致謝 III 表目錄 VI 圖目錄 VII 第一章、緒論 1 1.1研究背景與動機 1 1.2研究目的 2 1.3論文架構 2 第二章、文獻回顧 3 2.1 序列數據 3 2.2 群聚分析 3 2.2.1 序列分群 4 2.2.2 模型方法分群 4 2.2.3 馬可夫與隱馬可夫模型 5 2.3 捐血人回返行為分析 7 2.3.1 捐血者動機 7 2.3.2 人口特徵下的回返捐血 8 2.3.3 捐血行為分群分析 9 第三章、研究方法 11 3.1 馬可夫模型與混合馬可夫模型(MARKOV MODEL & MIXTURE MARKOV MODEL) 11 3.1.1 最大期望演算法(Expectation-Maximization, EM) 11 3.1.2 貝氏決策法則 14 3.2 隱馬可夫模型與混合隱馬可夫模型(HIDDEN MARKOV MODEL & MIXTURE HIDDEN MARKOV MODEL) 15 3.2.1 混合隱馬可夫模型分群(Mixture Hidden Markov Model) 16 3.3 邏輯斯迴歸(LOGISTIC REGRESSION) 17 3.4 隨機森林(RANDOM FOREST) 18 3.5 捐血人資料 19 3.6 研究流程 21 第四章、資料分析與研究結果 22 4.1 研究資料前處理 22 4.2分群結果與圖形分析……………………………………………………………23 4.2.1 分群圖形分析………….……………………………………………..….23 4.2.2 隨機森林特徵分析……………………...……………………………….34 4.2.3 邏輯斯迴歸分析…………………………..……………………………..36 4.3 隱馬可夫模型結果分析………………………………………………………...38 4.3.1 資料處理與分群結果……………………………………………………38 4.3.2 分群內隱馬可夫狀態轉換結果…………………………………………38 第五章、結論集未來研究建議……………………………………………………..44 5.1 結論……………………………...…………………………………………44 5.2 未來與研究建議…………………………...………………………………45 參考文獻……………………………………………………………………………..46

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