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Analysis on the Flow-Capturing Store Location Problem 林建男、吳泰熙

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Analysis on the Flow-Capturing Store Location Problem 林建男、吳泰熙

E-mail: 8701385@mail.dyu.edu.tw

ABSTRACT

It is always assumed in the facility location theory that demandusually exerts on nodes of network under study. However, there arecases where demand exerts on flow/link of network, such as auto teller machine, convenient store, and gas station. The corresponding location problem was called flow-capturing location problem. Store location decision problem has been studied for decades. In this research, store location decision problem under flow-capturing environment is considered. There are several differentdecision objectives, which should be considered in the flow-capturingstore location problem. In real life, customers always visit stores of different types in one trip. This contradicts with the assumption of the original flow-capturing problem. In addition, the competitiveness among stores already located and to be located are recognized and analyzed. For the above three types of problems, mathematical models and heuristic algorithms are developed respectively. Some analysis regarding the sensitivity of parameters in the original literature is performed. A derivation that leads to the reduction of the solution space is also provided. Examples from textbook and real problem adopted from local city are used for the illustrative purpose.

Keywords : Store Location,Flow Capturing Location Problem

Table of Contents

封面內頁 簽名頁 授權書...iii 中文摘要...iv 英文摘

要...vi 致謝...vii 目錄...viii 圖目

錄...xi 表目錄...xiii 第一章 緒論...1 1.1 研究動 機...1 1.2 研究方法...3 1.3 研究架構...4 第二章 文獻回

顧...8 2.1 路徑需求商店設置問題...8 2.1.1 傳統路徑需求商店設置問題...8 2.1.2 實 例應用方面...10 2.1.3 路徑需求商店設置問題解決之研究...11 2.1.4 隨機路徑需求商店設置問

題...12 2.2 多目標決策...13 2.2.1 多目標決策之定義...14 2.2.2 多目標決策之分 類...14 2.2.3 多目標決策技術應用於設施位址決定...15 2.2.4 延伸最大最小法與整體評準法...16 2.3 競 爭型設施設置...16 第三章 多目標流量攔取商店位址設置模式...22 3.1 問題描述與假

設...22 3.1.1 問題描述...22 3.1.2 問題假設...26 3.2 學理驗證與探

討...27 3.3 以延伸最大最小法求解多目標問題...34 3.4 以整體評準法求解多目標問題...36 第四 章 多型態流量攔取商店位址設置模式...38 4.1 問題描述與假設...38 4.1.1 問題描

述...38 4.1.2 問題假設...39 4.2 最佳化數學模式...40 4.3 啟發式解 法...45 第五章 競爭型流量攔取商店位址設置模式 ...50 5.1 問題描述與假設...50 5.1.1 問題描述...50 5.1.2 問題假設...51 5.2 重力模式...51 5.3 最佳化數 學模式...53 5.4 啟發式解法...57 第六章 範例說明及結果分析...62 6.1 多目 標流量攔取商店位址設置問題範例...62 6.1.1 範例敘述...62 6.1.2 最佳化數學模式結果...63 6.2 多型態流量攔取商店位址設置問題範例...68 6.2.1 範例敘述...68 6.2.2 最佳化數學模式結

果...69 6.2.3 啟發式解法結果...71 6.3 競爭型流量攔取商店位址設置問題實例...73 6.3.1 實例敘 述...73 6.3.2 最佳化模式結果...76 6.3.3 啟發式解法結果...76 6.4 研究心 得...77 第七章 建議及結論...79 7.1 結論...79 7.2 建

議...80 參考文獻...82 附錄一、路徑資料表...87 附錄二、

多型態流量攔取商店位址設置問題最佳化模式...88 附錄三、競爭型流量攔取商店位址設置問題最佳化模式...92 附錄 四、員林鎮行政區域圖...94

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