Project scheduling problem with fuzzy activity durations: A novel operational law based solution framework

作     者：Zhao, Mingxuan Zhou, Jian Wang, Ke Pantelous, Athanasios A. 

作者机构：Tongji Univ Sch Econ & Management Shanghai 200092 Peoples R China Shanghai Univ Sch Management Shanghai 200444 Peoples R China Monash Univ Monash Business Sch Dept Econometr & Business Stat 20 Chancellors WalkWellington Rd Clayton Vic 3800 Australia 

出 版 物：《EUROPEAN JOURNAL OF OPERATIONAL RESEARCH》 (欧洲运筹学杂志)

年 卷 期：2023年第306卷第2期

页      面：519-534页

核心收录：

学科分类：1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：National Key Research and Development Program of China [2020YFB1708200] National Natural Science Foundation of China 

主　　题：Project scheduling Project management Fuzzy programming Operational law 

摘      要：In this paper, we propose a novel operational law for calculating the credibility distributions of monotone functions of independent regular fuzzy numbers to study the project scheduling problem with partially (or fully) fuzzy activity durations. In this regard, we formulate three corresponding types of fuzzy mod-els, namely the alpha-cost minimization, the credibility maximization and the time-cost trade-off models, and show that they can be converted into crisp ones, and then be efficiently solved. Specifically, for the first model, its optimal solution is represented analytically, and thus determined precisely. The sec-ond and third ones can be solved exactly for small and medium, and approximately with high accuracy within reasonable time for large scale projects. Several numerical experiments on the public instance sets from the project scheduling problem library (PSPLIB) illustrate clearly the accuracy and efficiency of our treatment.(c) 2022 Elsevier B.V. All rights reserved.