應用互動式二階法建構模糊多目標專案管理決策線性模式

本研究主要是應用一個可能性線性規劃方法，用以建構模式內容涵蓋總專案成本，總專案時間，總趕工成本三個極小化目標，並同時納入直接與間接成本、總預算等相關限制因素考量。接著本研究運用互動式二階法求解模糊數進而改善最小運算子求解方法並獲得較有效解。更進一步，本研究在多目標專案管理決策問題上會提出兩個修正隸屬函數的求解步驟來獲得更好的妥協解。其考量具不確定性質的輸入參數並假設每一目標函數皆有一模糊目標值。其一主要使每一目標函數之最不好的隸屬區間上界值達到最小並趨近於最好的隸屬區間下界值，使其能獲得一組更有效解。其二藉由決策者的偏好針對唯一目標函數作適當調整，使其能獲得一組偏好解且更趨近於實務應用。最後特舉二個產業個案進行模式測試並進行模式比較，藉以分析及歸納本文提出方法在實驗應用上的重要管理意涵。整體而言，本文所發展之方法可求得一組更有效妥協解與偏好解並同時具彈性的修正程序、提供較多元決策資訊等特色，更符合企業實務應用需求。

關鍵字

專案管理；可能性線性規劃；二階法；模糊多目標線性規劃

並列摘要

The belief that the project manager, a person in charge of the project management (PM), plays a very important role to handle conflicting goals with the usage of all related resources through the organization is beyond doubt. The main purpose of the project management is to minimize the project completion time, total project and crashing cost with the reference to both direct and indirect cost and other related constraints simultaneously. This work focuses on developing an interactive two-phase method for solving the fuzzy mulit-objective PM decision problems. The proposed approach considers the imprecise nature of the input data by implementing the possibilistic programming (PLP) model and also assumes that each objective function has a fuzzy goal. For attaining our objective, numerical example is presented to illustrate the feasibility of applying the proposed approach to actual PM decision problem at the end of this paper. Furthermore, we believe that this approach can be applied to solve other multi-objective decision making problems.

並列關鍵字

Project management ； Possibilistic programming approach ； Two-phase approach ； Fuzzy multi-objective linear programming

參考文獻

[1] William, R. D., A Guide to the Project Management Body of Knowledge (PMBOK), 3rd Edition., USA: The Project Management Institute Inc, 2004.

[2] Arikan, F., Gungor, Z., "An application of fuzzy goal programming to a multiobjective project network problem," Fuzzy Sets and Systems, vol. 119, no. 1, 2001, pp. 49-85.

[3] Archibald, R. B., The Implementation of Project Management: The Professional's Handbook, Massachusette: Addison-Wesley, 1981, pp.178.

[4] Buckley, J. J., "Stochastic versus possibilistic programming," Fuzzy Sets and Systems, 1990, pp. 34, 43-59.

[8] Chen, H. K., Chou, H. W., "Solving multiobjective linear programming problems—a generic approach," Fuzzy Sets and Systems 82, 1996.

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應用互動式二階法建構模糊多目標專案管理決策線性模式

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