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研究生: 蕭子琪
Hsiao, Tzu-Chi
論文名稱: 以禁忌搜尋法求解醫療設施設址問題之研究
A Tabu Search Approach for the Healthcare Facility Location Problem
指導教授: 林東盈
Lin, Dung-Ying
學位類別: 碩士
Master
系所名稱: 管理學院 - 交通管理科學系
Department of Transportation and Communication Management Science
論文出版年: 2019
畢業學年度: 107
語文別: 中文
論文頁數: 61
中文關鍵詞: 最大覆蓋選址問題設址問題禁忌搜尋法醫療設施
外文關鍵詞: Maximal Covering Location Problem, Facility Location Problem, Tabu Search, Healthcare Facility
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  • 隨著人口老齡化以及全球暖化造成天災的增加,緊急與非緊急醫療系統之建置愈來愈重要,而良好的醫療系統,可減少資源與資金之浪費,民眾亦可以獲得最多且最好之服務,而台灣第八期醫療網計畫中提到要提供更全面性醫療服務給民眾,因此本研究旨在探討醫療設施設址與醫療人員配置問題,以達到最大服務覆蓋率,因此研究基於最大覆蓋選址問題設計了以禁忌搜尋法為基礎之演算法,以便能在快速的計算時間內將設施與人員配置完成,並針對108個實例進行測試,從結果中得知,所提出方法之結果佳,平均位於最佳解的1.51%內,並可實際應用於真實的醫療設施選址問題。

    Because of the population aging and the increase of natural disasters, the emergency and non-emergency medical systems are becoming more and more important. An efficient medical system can reduce the waste of resources and funds, and people can be offered better medical services. The eighth medical care network plan(第八期醫療網計畫) in Taiwan also plans to provide better and more comprehensive medical services to the public Therefore, this study aims to investigate the location selection of healthcare facilities and professional to achieve the maximal demand covered in a prespecified coverage. Based on the maximal covering location problem, we design a tabu search, so that we can solve the problems efficiently. We test 108 real-world problems, results show that the proposed framework can be applied to real-world healthcare facility location problems.

    第一章 緒論 1 1.1 研究背景與動機 1 1.2 研究目的 1 1.3 研究流程 2 第二章 文獻回顧 3 2.1 選址問題 (Facility Location Problem) 3 2.1.1最大覆蓋選址問題 (Maximal Covering Location Problem, MCLP) 4 2.1.2 p中位問題 (p-median location problem) 5 2.1.3集合覆蓋問題 (set covering problem, SCP) 5 2.2 醫療設施選址模式 5 2.3 禁忌搜尋法 (Tabu search, TS) 7 2.4 小結 8 第三章 數學模型建構 9 3.1 模型論述 9 3.1.1問題定義 9 3.1.2名詞定義 9 3.2 數學符號 10 3.3 模型架構說明 11 3.4 小結 13 第四章 禁忌搜尋法模型 14 4.1 禁忌搜尋法 (Tabu Search) 14 4.2 禁忌搜尋法模型 14 4.2.1初始解 16 4.2.2改善階段 16 4.2.3停止機制 22 4.3 虛擬碼 (pseudo code) 23 第五章 實證研究 30 5.1 範例情境 30 5.2 理想路網 31 5.3 尖峰路網 34 5.4 大眾運輸路網 37 5.5 禁忌搜尋法與精確方法比較 40 5.6 參數敏感度分析 44 第六章 結論與建議 48 參考文獻 49 附錄一 禁忌搜尋法虛擬碼 52

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