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題 名 | 應用多目標規劃法於低碳運輸計畫之預算分配=A Multi-Objective Programming Model of Budget Allocation in Low Carbon Transportation Projects |
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作 者 | 陳正杰; 馮正民; 劉庭豪; 陳正杰; | 書刊名 | 運輸計劃 |
卷 期 | 44:4 2015.12[民104.12] |
頁 次 | 頁373-400 |
分類號 | 557.17 |
關鍵詞 | 低碳運輸計畫; 預算分配; 公平性; 多目標混合整數非線性規劃; Low-carbon transportation; Budget allocation; Equity; Multi-objective mixed integer nonlinear programming problem; MMINLP; |
語 文 | 中文(Chinese) |
中文摘要 | 運輸部門的溫室氣體排放量為全球產業最大宗排放源之一,發展低碳 運輸計畫以減少碳排放量已成為近年來公共運輸系統建設之目標。以往決 策者在公共建設規劃時多採用質性評選方式來決定預算分配比例,缺乏較 客觀的量化因素。本研究建構一多目標數學規劃模式,以追求低碳運輸策 略效益最大與減少區域間預算分配差距,同時導入「計畫可調整性」及「最 低可執行預算規模比例」等因素,進行低碳運輸計畫預算分配。 模式建構階段初始藉由典型背包問題 (0-1 Knapsack Problem) 發展整 數規劃預算分配模型 (即模式1)、考慮預算可調整性,將計畫分成連續型 計畫及非連續型計畫之混合整數規劃預算分配模型 (即模式2)、加入公平性目標式、區域預算配給比例等參數與考慮各計畫之最低可執行預算比 例,構建一多目標混合整數非線性規劃預算分配模型 (即模式3)。依據不 同情境最佳化預算分配,並依據實例分析驗證模式之可行性。 從我國行政院環保署之「低碳城市建構計畫」實例分析結果可以得知, 當總預算額度偏低時,模式傾向將預算優先分配予減碳能力較佳之區域; 當預算額度較為充足時,本研究發展之公平性目標式會有助於減少區域間 預算配給之差異。由於分配結果會隨著權重目標調整而改變,本研究透過 多目標權衡分析針對不同權重組合求取最佳解,可作為決策者未來執行模 式之參考依據。 |
英文摘要 | Reducing greenhouse gas emissions is one major issue and challenge in transportation sections. To achieve this mission, various administrative divisions under the central government were asked to propose some low-carbon transport projects for annual budget planning and allocation. Instead of arbitrarily evaluating the performance of those projects, this paper contributes a method for quantifying and jointly optimizing the results of project selections and budget allocations, while also considering the proportion and minimum required amount of each proposed budget. A basic model (Model 1) adapted from the typical 0-1 knapsack problem, an extended mixed integer programming model (Model 2), and a multi-objective mixed integer nonlinear programming model (Model 3) are developed in this study. Models 1 and 2 are maximizing the total reduction of emissions based on selected projects and approved budget. Model 3 is further pursuing the equality issue by minimizing the variance of allocation results among administrative divisions. Through a series of numerical examples and sensitivity analysis, the models demonstrate their ability to maximize emissions reduction through budget allocating decisions. Different weight combinations between two objective functions are also examined. |
本系統中英文摘要資訊取自各篇刊載內容。