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系統識別號 U0026-2808201216304500
論文名稱(中文) 橋梁維護策略之分析
論文名稱(英文) Analysis of Bridge Maintenance Strategies
校院名稱 成功大學
系所名稱(中) 土木工程學系碩博士班
系所名稱(英) Department of Civil Engineering
學年度 100
學期 2
出版年 101
研究生(中文) 陳利昕
研究生(英文) Li-Hsin Chen
學號 n66994510
學位類別 碩士
語文別 中文
論文頁數 193頁
口試委員 指導教授-潘南飛
口試委員-蔡錦松
口試委員-方一匡
口試委員-鄭明淵
中文關鍵字 橋梁劣化  多目標最佳化  維護策略最佳化  模糊數學規劃  共同維護 
英文關鍵字 bridge deteriorate  multi-objective optimization  rehabilitation strategies optimization  fuzzy programming  concurrent maintenance 
學科別分類
中文摘要   台灣地形複雜,為了跨越這些複雜的地形,已經建置了許多道路橋梁提供順暢的交通網路,近年來氣候變異以及車流量劇增,增加的外在影響因子超越橋梁設計承載力,國內橋梁面臨損壞或劣化嚴重的問題,以及維護經費有限或不足,需在有限經費狀況下擬定最佳維護策略,使得構件能維持良好安全狀況,達到經費運用最有效率以及安全最高的目標,因此建立有效之橋梁維護最佳化模式為近年橋梁管理著重的重點之一。
  本研究提出多目標橋梁模糊最佳化維護策略模式,其多目標分別為「最小化維護總成本」、「最大化橋梁之狀況指標值」以及「最小化共同維護次數」,「最小化維護成本」目標式用於尋找花費最小且橋梁構件狀況值仍大於安全門檻之維護策略;「最大化狀況指標值」目標式用於尋找可保持橋梁構件遠高於安全門檻之維護策略,使得橋梁有最高的安全性;「最小化共同維護次數」用於尋找對用路人影響最小之維護策略,本研究將針對以上目標提出最佳化模式,並針對不同的目標組合進行試算。
  過去橋梁維護相關文獻通常不考慮橋梁維護的不確定因素,而採取確定值進行模擬推估維護策略,但本研究認為,橋梁構件劣化狀況因橋梁所處地區氣候、車流量狀況每年皆不同,構件劣化率將因以上外在狀況而包含非常多不確定因素,故研究將傳統明確劣化率結合模糊理論並加以擴展,使用模糊最佳化技術協助橋梁工程師分析橋梁風險狀況下維護時間點以及採取之維護策略。
英文摘要 The terrain is complicate in Taiwan. For across those complicate terrain, there are many bridges around the island to provide smooth traffic network. In recent year, atmosphere and traffic volume change a lot, those outside effective already let bridges overload. Internal bridges face to serious deterioration problem and few maintenance budget or strict budget limit. How to make best maintenance strategies that keeps bridge in well safety situation and using bridge maintenance budget effectively. To build effective bridge maintenance optimization model is the best way to solve the problem.
The research proposed a bridge fuzzy multi-objective optimization model. The objectives are “minimize rehabilitation cost in service period”, “maximize bridge condition index in service period” and “minimize concurrent maintenance times in service period”. The first objective “minimize rehabilitation cost in service period” used to find rehabilitation strategies combinations that costs minimize rehabilitation cost and keeps the bridge components index higher than safety level. Second objective “maximize bridge condition index in service period” used to find a rehabilitation strategies combinations that make bridge components in high safety situation. Third objective “minimize concurrent maintenance times in service period” used to find rehabilitation combinations that has less effective with users and minimize user cost.
In the past, bridge rehabilitation references usually didn’t consider bridge rehabilitation uncertainty effect, and chose certainty parameter to simulate rehabilitation strategies. The research considers bridge components in different area will effective by different atmosphere and different traffic volume. Because those reason, the bridge components consider many uncertainty factors. The research combine traditional deterioration rate with fuzzy theory. Using fuzzy multi-objective optimization technique to helps bridge engineer analysis the rehabilitation point and strategies under uncertainty.
論文目次 目錄 I
摘要 IV
ABSTRACT V
誌謝 VI
圖目錄 VII
表目錄 X
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. 研究範圍與限制 3
1.4. 研究流程 4
1.5. 研究架構 5
第二章. 文獻回顧 6
2.1. 橋梁維護定義 6
2.2. 國內外橋梁評比系統 7
2.2.1. National Bridge Inspection Standard (NBIS) 8
2.2.2. MEMRRES 8
2.2.3. D.E.R&U評估系統 8
2.2.4. 模糊橋梁功能評估法 11
2.3. 橋梁劣化預測 11
2.3.1. 迴歸分析(Regression Analysis) 12
2.3.2. 可靠度分析(Reliability Analysis) 12
2.3.3. 馬可夫鏈(Markov Chain) 13
2.4. 國外橋梁生命週期分析及維護最佳化發展狀況 13
2.5. 國內橋梁生命週期分析及維護最佳化發展狀況 17
2.6. 國內外橋梁生命周期多目標維護最佳化發展狀況 19
2.7. 模糊線性規劃相關研究 21
2.8. 文獻回顧小結 21
第三章. 研究方法 23
3.1. 橋梁構件劣化模式 23
3.2. 橋梁生命周期最佳化整數規劃模式 24
3.3. 模糊數學規劃 25
3.4. 多目標模糊數學規劃 26
3.5. 橋梁構件劣化預測 30
3.6. 橋梁構件共同維護次數最小化 32
第四章. 模型建立 33
4.1. 單一構件維護最佳化模式 34
4.1.1. 單一構件最小化維護總成本及最大化狀況指標值之雙目標規劃模式 34
4.2. 預算限制下單一構件維護最佳化模式 37
4.2.1. 預算限制下單一構件最小化維護總成本及最大化狀況指標值之雙目標規劃模式 37
4.3. 專案層級維護最佳化模式 40
4.3.1. 專案層級最小化維護總成本及最大化狀況指標值之雙目標規劃模式 40
4.3.2. 專案層級最小化維護總成本及最小化共同維護次數之雙目標規劃模式 43
4.3.3. 專案層級最大化狀況指標值及最小化共同維護次數之雙目標規劃模式 46
4.3.4. 專案層級三目標規劃模式 49
4.4. 預算限制下專案層級維護最佳化模式 52
4.4.1. 預算限制下專案層級最小化維護總成本及最大化狀況指標值之雙目標規劃模式 52
4.4.2. 預算限制下專案層級最小化維護總成本及最小化共同維護次數之雙目標規劃模式 55
4.4.3. 預算限制下專案層級最大化狀況指標值及最小化共同維護次數之雙目標規劃模式 58
4.4.4. 預算限制下專案層級三目標規劃模式 61
4.5. 路網層級維護最佳化模式 64
4.5.1. 路網層級最小化維護總成本及最大化狀況指標值之雙目標規劃模式 64
4.5.2. 路網層級最小化維護總成本及最小化共同維護次數之雙目標規劃模式 67
4.5.3. 路網層級最大化狀況指標值及最小化共同維護次數之雙目標規劃模式 70
4.5.4. 路網層級三目標規劃模式 73
4.6. 預算限制下路網層級維護最佳化模式 76
4.6.1. 預算限制下路網層級最小化維護總成本及最大化狀況指標值之雙目標規劃模式 76
4.6.2. 預算限制下路網層級最小化維護總成本及最小化共同維護次數之雙目標規劃模式 79
4.6.3. 預算限制下路網層級最大化狀況指標值及最小化共同維護次數之雙目標規劃模式 82
4.6.4. 預算限制下路網層級三目標規劃模式 85
第五章. 案例分析與探討 88
5.1. 單一構件維護最佳化模式 91
5.1.1. 單一構件最小化維護總成本及最大化狀況指標值之雙目標規劃模式 94
5.1.2. 單一構件維護最佳化模式小結 96
5.2. 預算限制下單一構件維護最佳化模式 97
5.2.1. 預算限制下單一構件最小化維護總成本及最大化狀況指標值之雙目標規劃模式 100
5.2.2. 單一構件維護最佳化模式小結 102
5.3. 專案層級維護最佳化模式 103
5.3.1. 專案層級最小化維護總成本及最大化狀況指標值之雙目標規劃模式 109
5.3.2. 專案層級最小化維護總成本及最小化共同維護次數之雙目標規劃模式 112
5.3.3. 專案層級最大化狀況指標值及最小化共同維護次數之雙目標規劃模式 115
5.3.4. 專案層級三目標規劃模式 118
5.3.5. 專案層級維護最佳化模式案例小結 123
5.4. 預算限制下專案層級維護最佳化模式 124
5.4.1. 預算限制下專案層級最小化維護總成本及最大化狀況指標值之雙目標規劃模式 130
5.4.2. 預算限制下專案層級最小化維護總成本及最小化共同維護次數之雙目標規劃模式 133
5.4.3. 預算限制下專案層級最大化狀況指標值及最小化共同維護次數之雙目標規劃模式 136
5.4.4. 預算限制下專案層級三目標規劃模式 139
5.4.5. 預算限制下專案層級維護最佳化模式案例小結 144
5.5. 路網層級維護最佳化模式 145
5.5.1. 路網層級最小化維護總成本及最大化狀況指標值之雙目標規劃模式 151
5.5.2. 路網層級最小化維護總成本及最小化共同維護次數之雙目標規劃模式 154
5.5.3. 路網層級最大化狀況指標值及最小化共同維護次數之雙目標規劃模式 157
5.5.4. 路網層級三目標規劃模式 160
5.5.5. 路網層級維護最佳化模式案例小結 165
5.6. 預算限制下路網層級維護最佳化模式 166
5.6.1. 預算限制下路網層級最小化維護總成本及最大化狀況指標值之雙目標規劃模式 173
5.6.2. 預算限制下路網層級最小化維護總成本及最小化共同維護次數之雙目標規劃模式 176
5.6.3. 預算限制下路網層級最大化狀況指標值及最小化共同維護次數之雙目標規劃模式 179
5.6.4. 預算限制下路網層級三目標規劃模式 182
5.6.5. 預算限制下路網層級維護最佳化模式案例小結 187
第六章. 結論與建議 188
參考文獻 190
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