模糊多目標線性規劃在專案趕工決策之應用

A Study on Project Crashing Decision with Multiple Fuzzy Goals

梁添富(Tien-Fu Liang) ； 王貳瑞(Earl-Juei Wang) ； 丁秋瑤(Chiou-Yao Ding)

《工業工程學刊》 20卷4期 (2003/07) Pp. 355-372

https://doi.org/10.29977/JCIIE.200307.0005

摘要

本文主要是建構一個多模糊目標線性規劃模式(MFOLP)，目的在於解決傳統專案管理著重於直接成本或總完工時間極小化的單一目標決策作法，缺乏財務、人力及生產資源投資之最適趕工及資源分配決策考量的問題。模式建構除考量多元目標函數、彈性決策程序、資源供需限制及周延決策資訊等因素外，並可透過目標問取捨，衡量決策者在追求多模糊目標下之滿意度水準，解決一般模式在企業實務應用程度不足的問題。模式内容涵蓋總成本與總趕工成本兩個極小化目標，並同時納入直接與間接成本、資源需、產能及總預算等限制因素考量。藉由實例測試與驗證，與以往決策模式相較，利用本研究發展的MFOLP模式，除兼具涵蓋多元模糊目標函數、符合決策行爲特性需求、較具彈性決策與修正程序、考量資源供需限制及能提供更爲周延的決策資訊外，並可衡量決策者在追求多模糊目標下之決策滿意度水準，更符企業實務應用需求。

關鍵字

專案趕工決策 ； 多目標線性規劃 ； 多模糊目標線性規劃

並列摘要

This article constructs a multiple fuzzy objective linear programming(MFOLP)model to solve single objective minimization problems on direct costs and total completed time relevant with crashing and resource allocation decisions on financial, manpower, and inputs for production resources. Factors considered in the proposed model are multiple objective functions, flexible decision procedures, resource limitations, and decision information indications. By using these factors as objective trade-off components with multiple fuzzy goals, the proposed model is practically developed to provide various scenarios on specific satisfactory levels in decision making. The model involves two novel minimization goals, total costs and total crashing costs, and factors on direct and indirect costs, resource supply/demand limitations, capacity planning, and total budget restrictions as well. The expansion schedule case from a plastic factory is used to implement the proposed model. The implementation is designed as several scenarios to survey the objective variations of goal components. The implementation results demonstrate that the use of MFOLP models could help decision planners easily explain to the theoretical rigor not found in simpler decision models.

並列關鍵字

project crashing decision ； multiple objective linear programming ； multiple fuzzy objective linear programming

參考文獻

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