Approaching activity duration in PERT by means of fuzzy sets theory and statistics

Abstract

Taking into account the intrinsic drawbacks of both classic and fuzzy PERT, the authors present a new approach in an attempt to deal with them. The tools for this approach are fuzzy statistics and fuzzy probabilities. A necessary condition for this approach is the existence of statistical data for the project activity duration. The final findings are the fuzzy activity times (earliest/latest start -earliest/latest finish), the fuzzy float, the Criticality Degree both for each activity and for each path, a fuzzy probability for the activity duration to be in a certain time interval and a fuzzy probability for the project completion time to be in certain time interval. A numerical example is provided for thorough comprehension.

Multi Objective Multi Mode Project Management Problem in Triangular Fuzzy Environment

“…A technique was suggested to obtain the fuzzy optimum result of completely fuzzy CPP by L-R flat fuzzy numbers [54]. Fuzzy PERT was used for approaching activity duration [55]. Samman and Brahemi (2014) utilized fuzzy PERT for managing project [56].…”