模糊網圖評核術模式之研究

Model Formulation and Development of Fuzzy GERT Networks

10.29977/JCIIE.200403.0006

劉世仰(Shih-Yaug Liu)；劉書助(Shu-Chu Liu)；林瑞旺(Juei-Wang Lin)

模糊網圖評核術 ； 三角模糊數 ； 逐步運算法 ； 網路分析 ； fuzzy GERT ； triangular fuzzy number ； network analysis

工業工程學刊

21卷2期（2004 / 03 / 01）

156 - 166

繁體中文

近年來，網圖評核術(GERT)已廣泛運用在不同領域裡，網圖評核術之作業參數主要取自於決策者主觀意見或專家的經驗判斷，然礙於模式僅能以明確值來描述參數，舞法表達參數的不確定性，進而影響整體規劃。針對上述問題，本文以模糊數來表示作業參數，進而發展一模糊網圖評核術模式。主要步驟如下：(1)根據系統分析繪製網圖評核術網路圖，(2)以三角模糊數表示網圖評核術中的作業參數，(3)運用模糊數的計算代入逐步運算法中，建立模糊網圖評核術模式。本文以一個半導體加工範例進行驗證，說明如何建立模糊網圖評核術模式。

GERT networks have been widely applied in different domains.The parameters of GERTnetworks are usually determined by the decision makers' subjective opinions or experts'suggestions.It implies that the values of parameters in GERT networks are imprecise anduncertain.However,traditional GERT networks cannot reflect the characteristics ofreal-world network problems.To overcome the above weaknesses,this paper attempts touse fuzzy nunbers to represent the parameters' values,and than develops a Fuzzy GERTmodel.The developed fuzzy GERT model includes three procedures:(1)draw the GERTnetwork based on system analysis,(2)use triangular fuzzy numbers to represent theparameters' values in the GERT network and(3)apply the operations of triangular fuzzynumbers to formulate the Fuzzy GERT model.To validate the proposed fuzzy GERTmodel,one numerical example based on an existing GERT network has been adopted.

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