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研究生: 莊舜翔
Chuang, Shun-Hsiang
論文名稱: 以機率分佈函數估計公路作業之成本
Cost Estimation of Highway Activities through Probability Distribution Functions
指導教授: 潘南飛
Pan, Nan-Fei
學位類別: 碩士
Master
系所名稱: 工學院 - 土木工程學系
Department of Civil Engineering
論文出版年: 2016
畢業學年度: 104
語文別: 中文
論文頁數: 110
中文關鍵詞: 工程估價統計分析配適度檢定機率分配函數群集分析方法
外文關鍵詞: Cost Estimation, Statistical Analysis, Goodness of fit, Probability distribution function, Cluster Analysis
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  • 營建專案在長期工程標案競爭下,承包廠商對於工程之預備資金、工料成本及風險評估日益成熟,故競標廠商大多是由具有經驗之承辦人員,以其專業知識、經驗,利用主觀經驗判斷法進行工程成本初期推估。但不同的承辦人員主觀判斷容易造成估價結果有所差異,無法精確地訂定工程底價,且營建工程成本具有眾多不確定性因素,無法讓承辦工程人員有效地評估可能面臨的風險程度。因此,本研究希望利用機率估算來預估工程專案初期成本,彌補傳統估算的不足,首先,本研究將利用AbouRizk(1992)所提出的θ1-θ2座標圖並新增了三項機率分佈函數,結合KNN演算法、留一交叉驗證法、歐幾里得距離,形成一新的機率分佈配適度判定方法以利用在工程項目成本的機率分佈配適度檢定上。最後本研究使用五個公路工程中較常使用到的工程項目進行案例驗證,分別利用K-S檢定法、A-D檢定法和θ1-θ2座標圖進行配適度檢定,對於檢定出來的機率分佈分別繪製其累積機率曲線圖,而由累積機率曲線圖可發現,θ1-θ2座標圖求解出來的機率分佈其累積機率曲線與樣本的累積機率曲線最為接近,也就是說若以θ1-θ2座標圖進行配適度檢定,可求出與樣本配適度較高的機率分佈函數。藉由求得的機率分佈函數,可再進一步推估其成本合理估價範圍。而對於營造工程成本的預測已有許多學者提出相關的研究和探討之成果,因此本研究是希望藉由提出不同的研究方式能夠提供業界學者有著不同的參考應用。

    Construction engineering projects in the long-term competitive tenders, contract manufacturers for prepare funding, quantity cost and risk assessment of the project has become more sophisticated. Therefore, most of the companies bidding by the contractor personnel with experience, with its expertise, experience, initial engineering costs reckoning use of subjective experience to judge by. But the difference is likely to cause the contractor personnel subjective valuation results to differ, not accurately set the reserve price engineering, and construction cost of the project has a number of uncertainties, can not let the contractor engineering personnel to effectively assess the degree of risk that may be encountered. Therefore, this study hopes to use to probability estimate to estimated project initial cost, compensate for the lack of traditional estimates. First, the present study will applied AbouRizk (1992) proposed θ1-θ2 plots and added three probability distribution function, Combined KNN algorithm, Leave One Out Cross Validation method, the Euclidean distance, the formation of a new method for determining the probability distribution of fit in to take advantage of the probability distribution of project cost with Goodness of fit test. Finally, this study used five more commonly used in highway engineering projects to be verified cases were the use of Kolmogorov-Smirnov Test, Anderson-Darling Test and θ1-θ2 plots of fit test. For probability distributions are plotted identified Cumulative Distribution Function graph, and the cumulative probability graph can be found, the chances of solving θ1-θ2 plots the cumulative probability distribution curve out of the cumulative probability curve with the sample closest, that terms of θ1-θ2 coordinate diagram of fit test, can be obtained and samples with moderately high probability distribution function. Determined by probability distribution function can further reckoning the cost reasonable valuation range. As for the cost of the project to create a prediction has been made by many scholars and research achievements related to the discussion, so this study is to be presented in different ways to provide industry research scholars have different reference applications.

    目錄 摘要I Extended AbstractII 誌謝V 目錄VI 表目錄IX 圖目錄X 第一章 緒論1 1.1 研究背景與動機1 1.2 研究目的3 1.3 研究範圍與限制4 1.4 研究流程5 第二章 文獻回顧6 2.1 工程底價訂定與成本預算編訂6 2.1.1 工程成本底價訂定6 2.1.2 工程成本估價之目的8 2.1.3 工程成本估價技術模式 12 2.1.4 工程成本估價相關文獻探討14 2.1.5小結16 2.2 工程成本之機率分佈17 2.2.1 成本機率分佈型式18 2.2.2 工程成本機率分佈之相關文獻探討18 2.3機率型態之適合度檢定探討21 2.3.1 適合度檢定方法21 2.3.2 適合度檢定之相關文獻探討25 2.4 公共工程經費電腦估價系統PCCES27 第三章 研究方法之背景29 3.1機率分佈函數29 3.1.1 常態分佈30 3.1.2 對數常態分佈31 3.1.3 指數分佈32 3.1.4 均勻分佈33 3.1.5 伽瑪分佈34 3.1.6 韋伯分佈35 3.1.7 貝他分佈36 3.2適合度檢定37 3.2.1以偏、峰態係數做適合度檢定37 3.2.2 K-S檢定法(Kolmogorov-Smirnov Test)41 3.2.3 A-D檢定法(Anderson-Darling Test)44 3.3 K-Nearest Neighbor演算法45 3.3.1 K-Nearest Neighbor演算法介紹45 3.3.2 K-Nearest Neighbor演算法特性49 3.4群集分析方法51 3.4.1 距離衡量51 3.4.2 角度衡量53 第四章 模型之建立55 4.1 新θ1-θ2座標圖55 4.2 計算K-S檢定之Dn值63 4.3 計算KNN法之最佳k值68 第五章 案例分析與探討72 5.1 針對五個工程項目成本之機率分佈函數做配適度檢定72 5.1.1 以K-S檢定法檢定73 5.1.2 以A-D檢定法檢定76 5.1.3 以θ1-θ2座標圖檢定79 5.2 K-S檢定法、A-D檢定法與θ1-θ2座標圖檢定之差異82 5.3 以機率分佈函數推估工程項目成本87 第六章 結論與建議90 6.1 結論 91 6.2 建議 93 參考文獻 94

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