A fuzzy multi-objective model for a project management problem

محورهای موضوعی : linear Programming

سید مائده میرمحسنی ¹ ( Mathematics and Information Science, Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, China )
سید هادی ناصری ² ( Department of Mathematical Sciences, Mazandaran University, Babolsar, Iran )

تاریخ دریافت : 1395/12/30 تاریخ پذیرش : 1396/04/27 تاریخ انتشار : 1396/09/10

کلید واژه: Fuzzy AHP, multi-objective Project management decision problem, Interactive fuzzy multi-objective linear programming (i-FMOLP), Weighted Additive, linear membership functions, &alpha, -cut approach,

چکیده مقاله :

In this research, the multi-objective project management decision problem with fuzzy goals and fuzzy constraints are considered. We constitute α-cut approach and two various fuzzy goal programming solution methods for solving the Multi-Objective Project Management (MOPM) decision problem under fuzzy environments. The Interactive fuzzy multi-objective linear programming (i-FMOLP) and Weighted Additive approaches are proposed for solving multi-objective PM decision problem where fuzzy information are demonstrated by using linear membership functions (LMF). The proposed approaches effort contemporarily to minimize the total project costs, total completion time and total crashing costs and the several constraints such as the time between events i and j, the crashing time for activity (i,j) and the total budget capital. The weight of criteria for each objective function base on project DM preference degree computed with Fuzzy AHP technique. The performance analysis calculated with a set of distance metric for i-FMOLP and Weighted Additive solution methods that represent uncertainty goals and constraints in PM decision problem with ideal solution in an industrial case study is compared.

چکیده انگلیسی:

در ایـن تحقیـق، مسـئله تصمیمگیـری مدیریـت پـروژه چنـد هدفه با اهـداف فازی و محدودیتهـای فـازی مـورد توجـه قـرار گرفتـه اسـت. مـا یـک رویکـرد آلفـا بـرش و دو روش مختلـف راهحـل برنامهنویسـی اهـدف فـازی بـرای حـل مسـئله تصمیمگیـری چنـد معیاره مدیریت پـروژه (MOPM) را در محیطهـای فازی ایجاد میکنیـم. برنامهریـزی خطـی چندهدفـه فـازی تعاملـی (I-FMOL) و روشهـای وزندهـی جمعـی پیشـنهاد شـده برای حـل مسـئله تصمیمگیری چندهدفـه (PM) کـه در آن اطلاعـات فـازی بـا اسـتفاده از توابـع عضویـت خطـی (LMF) نشـان داده میشـود. روشهـای پیشـنهادی تلاشـی معقولانـه بـرای بـه حداقل رسـاندن کل هزینههـای پـروژه، زمـان کل تکمیـل و هزینههـای ریـز ریـز شـده کل و محدودیتهـای متعـددی مانند زمـان بین وقایـع i و j، زمان وقوع فعالیـت (I, j) و کل بودجـه سـرمایه اسـت . وزن معیارهـای هـر تابع هدف بر اسـاس درجـه اولویت پـروژه DM بـا تکنیک AHP-Fuzzy محاسـبه شـده. تجزیه و تحلیـل عملکرد با مجموعـهای از اندازههـای فاصله بـرای برنامهریـزی خطی چندهدفه فـازی تعاملی (I-FMOLP) وروشهـای راهحل وزندهی جمعی محاسـبه شـده که نشـاندهنده اهـداف و محدودیتهـای عـدم قطعیـت در مسـئله تصمیمگیـری PM بـا راه حـل ایـدهآل در یـک مطالعـه موردی صنعتی اسـت، مقایسـه میشـود. 

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