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系統識別號 U0026-2607201910094600
論文名稱(中文) 合作賽局理論於多廠水網路間接整合之應用
論文名稱(英文) On the Application of Cooperative Game Theory for Interplant Water Indirect Integration
校院名稱 成功大學
系所名稱(中) 化學工程學系
系所名稱(英) Department of Chemical Engineering
學年度 107
學期 2
出版年 108
研究生(中文) 劉威廷
研究生(英文) Wei-Ting Liu
學號 N36061256
學位類別 碩士
語文別 中文
論文頁數 156頁
口試委員 口試委員-吳煒
口試委員-李豪業
口試委員-陳誠亮
指導教授-張珏庭
中文關鍵字 多廠水網路整合  合作賽局理論  夏普利值   
英文關鍵字 interplant water integration  cooperative game  Shapley value  core 
學科別分類
中文摘要 在急劇的氣候變化下,合理的水資源再利用成了重要的議題。過去的研究多半注重最小化成本的合作設計,卻鮮少在後續的成本分配上有深入的研究。然而,要達成成功的多廠水網路(multi-plant water network, MPWN)合作,減少成本的合作設計以及相應的公平分配方案卻是缺一不可。因此,本研究分兩個階段進行解決這兩個問題。首先,先計算基於兩種不同設計策略的所有潛在聯盟之最低年度總成本。一種策略是基於所有現有單元的過程數據直接合成MPWN,而另一種是首先生成最適單廠水網路,然後將它們整合到MPWN中。接著在第二階段計算合作賽局理論指標,即核(core)、夏普利值(Shapley value)以及風險夏普利值(Risk-based Shapley value)。特別是根據風險夏普利值進行聯盟合作的收益分配,能將MPWN年度總成本節省額透過考慮其成本節省額貢獻水平以及聯盟中意外停工的潛在後果的風險來分配給每個工廠。此外,在本研究中假設工廠壽命遵守指數分布模型,所以其相應的風險夏普利值隨時間而變。若將時間從0到無窮大變化,可以發現所有的值可以形成一軌跡在(n-1)維空間中形成密閉圖形(其中n是工廠數量)。所以,透過考慮各聯盟合作收益以及核與風險夏普利值,可以發展出一套可行的方式,能從所有潛在聯盟中挑選出最佳的合作方式以進行合作。論文中會以兩個案例說明詳細的計算過程。
英文摘要 A successful total-site water integration (TSWI) project should be facilitated by not only an optimal design of minimum-cost multi-plant water network (MPWN) but also a “fair” profit-sharing scheme. In this work, the proposed approach to address both issues is implemented in two stages. The minimum total annual cost of each and every potential coalition on an industrial park is first determined according to two different design strategies. One is to synthesize the MPWN directly based on the process data of all existing water-using units, while the other is to produce the optimal single-plant WNs first and then integrate them into a MPWN. The cost-saving allocation problem is dealt with in the second stage on the basis of several criteria of the cooperative game theory, i.e., the core, the Shapley value and the risk-based Shapley value. In particular, a definite portion of the total annual cost-saving of the MPWN can be determined at designated time intervals for allocation to each plant by considering both its contribution level and also the risk of potential fallouts of unexpected plant shutdowns in a coalition. Furthermore, it should be noted that the plant life is viewed as a random variable that follows the exponential distribution in this study and, thus, the corresponding risk-based Shapley value is time dependent. An appropriate MPWN design and the corresponding benefit-allocation plan can be chosen for a designated period of time. The proposed methodology is illustrated in detail in two simple examples in this thesis.
論文目次 摘要 i
Extend Abstract ii
誌謝 viii
目錄 ix
表目錄 xi
圖目錄 xiii
第1章 緒論 1
1.1 研究動機 1
1.2 文獻回顧 1
1.3 研究目的 4
1.4 組織章節 4
第2章 新建廠際水網路整合策略 5
2.1 單元模式 5
2.2 單廠水網路超結構 9
2.3 廠際整合策略 14
2.4 多廠間接整合廠際水網路超結構 15
2.5 成本計算 19
2.6 簡例 21
第3章 合作賽局理論於新建多廠水網路設計上之應用 41
3.1 核 41
3.1.1 核定義 41
3.1.2 核於多廠共同新建水網路的應用 43
3.2 夏普利值 47
3.2.1 邊際效益 47
3.2.2 夏普利值的計算 49
3.2.3 夏普利值於多廠共同新建水網路的應用 50
3.3 風險夏普利值 54
3.3.1 風險 55
3.3.2 殘缺子聯盟 55
3.3.3 殘缺子聯盟中參與者的成本節省額 56
3.3.4 風險成本 59
3.3.5 風險夏普利值的計算 61
3.3.6 風險夏普利值於多廠共同新建水網路的應用 62
第4章 以風險夏普利值發展多廠水網路最佳設計策略 92
4.1 聯盟與殘缺子聯盟之總年度成本 95
4.2 基於風險夏普利值之收益分配方案 125
4.3 最終收益分配方案 148
4.4 結語 150
第5章 結果與展望 153
5.1 結論 153
5.2 展望 153
參考資料 155
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