Optimization Algorithms of PERT/CPM Network Diagrams in Linear Diophantine Fuzzy Environment

作     者：Mani Parimala Karthikeyan Prakash Ashraf Al-Quran Muhammad Riaz Saeid Jafari 

作者机构：Department of MathematicsBannari Amman Institute of TechnologySathyamangalamTamil Nadu638401India Basic Sciences DepartmentPreparatory Year DeanshipKing Faisal UniversityAl-Ahsa31982Saudi Arabia Department of MathematicsUniversity of the PunjabLahorePakistan College of Vestsjaelland SouthHerrestraede 11Slagelse4200Denmark 

出 版 物：《Computer Modeling in Engineering & Sciences》 (工程与科学中的计算机建模（英文）)

年 卷 期：2024年第139卷第4期

页      面：1095-1118页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by the Deanship of Scientific Research Vice Presidency for Graduate Studies and Scientific Research King Faisal University Saudi Arabia[Grant No.GRANT3862] 

主　　题：Linear Diophantine fuzzy graphs project management PERT CPM linear Diophantine fuzzy numbers score function accuracy function 

摘      要：The idea of linear Diophantine fuzzy set(LDFS)theory with its control parameters is a strong model for machine learning and optimization under *** activity times in the critical path method(CPM)representation procedures approach are initially static,but in the Project Evaluation and Review Technique(PERT)approach,they are *** study proposes a novel way of project review and assessment methodology for a project network in a linear Diophantine fuzzy(LDF)*** LDF expected task time,LDF variance,LDF critical path,and LDF total expected time for determining the project network are all computed using LDF numbers as the time of each activity in the project *** primary premise of the LDF-PERT approach is to address ambiguities in project network activity timesmore simply than other approaches such as conventional PERT,Fuzzy PERT,and so *** LDF-PERT is an efficient approach to analyzing symmetries in fuzzy control systems to seek an optimal *** also present a new approach for locating LDF-CPM in a project network with uncertain and erroneous activity *** the available resources and activity times are imprecise and unpredictable,this strategy can help decision-makers make better judgments in a project.A comparison analysis of the proposed technique with the existing techniques has also been *** suggested techniques are demonstrated with two suitable numerical examples.